All optical quantum computation by engineering semiconductor. macroatoms. Irene D Amico. Dept. of Physics, University of York

Size: px
Start display at page:

Download "All optical quantum computation by engineering semiconductor. macroatoms. Irene D Amico. Dept. of Physics, University of York"

Transcription

1 All optical quantum computation by engineering semiconductor macroatoms Irene D Amico Dept. of Physics, University of York (Institute for Scientific Interchange, Torino)

2 GaAs/AlAs, GaN/AlN Eliana Biolatti Fausto Rossi (Physics Dept, Politecnico di Torino GaAs/AlAs Paolo Zanardi (Institute for Scientific Interchange) GaN/AlN Sergio DeRinaldis Ross Rinaldi Roberto Cingolani (National Nanotechnology Laboratory, Lecce)

3 Outline Quantum information processing Semiconductor based implementations Quantum dots and quantum dot modeling GaAs and GaN based self-assembled quantum dots Exact diagonalization approach Engineering exciton-exciton coupling and quantum dot optical response Simulated experiments: C-NOT and state entanglement

4 Quantum information processing Basic motivation: to benefit from the natural parallelism of quantum mechanics (superposition ( principle) Solve complex mathematical problems (factorization of large integer numbers, database search) Simulation of complex systems (many-particles, quantum behavior) Quantum computers are explicitly governed by quantum mechanics, and they are based on two level quantum systems (qubits)

5 Quantum information processing Qubits can be in principle realized by any two-level quantum system: The polarization of a photon Two levels of a discrete energy spectrum Up or down spin state of an electron The state (dead or alive) of a Schroedinger s cat (maybe the cat would not be so happy though.)! bit, state: 0,1 qubit, state: a 0>+b 1>, a,b complex, SUPERPOSITION! Superposition: each qubit can store 0> and 1> simultaneously, i.e N qubits can store 2 numbers simultaneously and calculations can be performed simultaneously o each of these numbers QUANTUM PARALLELISM! N 1 0 0, = =

6 Quantum information processing General computation scheme: 1. Preparation of the initial state 2. Its coherent propagation and manipulation 3. Its detection or measurement Problems: Decoherence: interaction with the environment &/or with non computational degrees of freedom (for example additional charges, phonons, additional energy levels) Scalability: necessity of building and addressing/controlling thousands of qubits Error correction Hardware Reference book: M.Nielsen and I. Chuang, Quantum computation and quantum information Cambridge Univ. Press, 2000

7 Semiconductor-based implementation Phosphorus nuclear spins in silicon (electrical manipulation)- B.E.Kane, Nature 393,133(1998) Electron spins in quantum dots (electrical manipulation)- D.Loss and D.P.DiVincenzo, PRA 57, 120 (1998) Electron spins in microcavity coupled quantum dot- Sherwin, Imamoglu, Montroy, PRA 60, 3508 (1999), M. Feng, I. D'Amico, P. Zanardi and F. Rossi, PRA 67, (2003) Excitons in quantum dots generated and coherently controlled by picosecond laser pulses- GaAs: Biolatti, Iotti, Zanardi and Rossi, PRL 85, 5647 (2000); E. Biolatti, I. D'Amico, P. Zanardi, and F. Rossi, PRB 65, (2002) GaN: DeRinaldis, I. D'Amico, E. Biolatti, R. Rinaldi, R. Cingolani, and F. Rossi PRB 65, (2002) Electron spins in quantum dots coupled by exciton-exciton interaction (Pauli-blocking + all-optical manipulation) E. Pazy, E. Biolatti, T. Calarco, I. D'Amico, P. Zanardi, F. Rossi, P. Zoller, Europhys. Lett. 62, 175 (2003)

8 Quantum dots Quasi-0-dimensional structure i.e. the confining lengths are DeBroglie wavelength of carriers (nanometers). This generates a This generates a discrete energy spectrum similar to the atomic spectrum (macroatoms macroatoms) Confinement: strong interactions among particles inside the dot Discrete spectrum: weak interaction with the environment by controlling dimensions and shape it is possible to engineer the electronic structure.

9 Quantum Dots as Hardware Top view InGaAs/GaAs QDs (from NNL-Lecce web page) Growth direction: stacked QDs Growth direction QDa QDb In-plane directions CB VB

10 Quantum Dots as Hardware QD: Quasi-0-dimensional discrete energy dimensional boxes: energy spectrum similar to the atomic spectrum. a b -- Growth direction CB 0> 1> exciton exciton + a b exciton VB quantum dots/qubits are coupled by exciton-exciton interactions = biexcitonic shift ε QDa QDb qubit a qubit b ε Two QD coupling two-qubit gate

11 Advantages with laser technology: possibility of generating and coherently controlling excitons on a subpicosecond time-scale slowly-varying (electrical or magnetical) external fields are avoided fully optical gating schemes are proposed scalability Disadvantages Short decoherence times (ps, ns) Perfect control of QDs growth (size and patterning) Exact knowledge of single dot spectrum (single dot addressing)

12 Exciton-exciton coupling Growth direction a b -- CB exciton + a b exciton VB quantum dots/qubits are coupled by exciton-exciton interactions = biexcitonic shift ε ε QDa QDb qubit a qubit b Two QD coupling two-qubit gate Pb: excitons are in general neutral objects!

13 Exciton-exciton coupling In the absence of an electric field excitons in different QDs interact very weakly (basically neutral objects) GaAs quantum dots zincblende structure static, in-plane, external electric field (75 kv/cm) to spatially separate electrons and holes and to create dipoles GaN quantum dots wurzite structure spontaneous polarization piezoelectric potential strong built-in electric field (MV/cm) in the z-direction creates intrinsic dipoles

14 dipole dipole GaAs GaN Parallel dipoles Stacked dipoles dipole dipole Exciton-exciton coupling (biexcitonic ( shift) ~ dipole-dipole interaction

15 GaAs /AlAs :-) tunable coupling :-) growth parameters to engineer electronic structure :-) well characterized material :-) biexcitonic shift ~3-4meV :-( external field can ionize trapped carriers :-( more complex circuits GaN/AlN :- coupling tunable by growth parameters only :-) growth parameters to engineer electronic structure :- not well characterized material :-) biexcitonic shift up to 8-9 mev :-) internal field does not ionize trapped carriers :-(stronger dephasing due to

16 Exact-diagonalization approach System Hamiltonian Hc Hcc Hcl single-particle contribution Coulomb interaction terms carrier-light coupling H = ( H c + H cc ) + H We perform a direct diagonalization of the manybody Hamiltonian H c + H cc for a given number N of excitons cl

17 Absorption spectra Given the exact many-body states and the N ε α corresponding energies : N α A 2 ( ) ( ) N H N 1 δ ε N ε 1 ω N 1 N ω N α β β cl α β α N =1 excitonic spectrum N = 2 biexcitonic spectrum

18 Optical response E. Biolatti, I. D Amico, P. Zanardi and F. Rossi, PRB 65, (2002) S. De Rinaldis, I. D Amico, E. Biolatti, R. Rinaldi, R. Cingolani and F. Rossi, PRB 65, R81309 (2002)

19 GaAs - System parameters Well defined QD, i.e. strong confinement regime large biexcitonic shift ε p p ~ a b Z 3 1 ε F m e ω e m h ω h i.e. large electric field but not too strong confinement optical response, i.e. not too large electric field I. D Amico and F. Rossi, APL 79, 1676 (2001) E. Biolatti, I. D Amico, P. Zanardi and F. Rossi, PRB 65, (2002) By an analytical model: 3.5 mev ε

20 GaN - System parameters p a p b 3 biexcitonic shift ε ~ 2 vs: Z barrier width QD height L QD base D d F~func(QD height, barrier width) S.DeRinaldis, I. D Amico and F. Rossi, Appl. Phys. Lett., 81, page 4236 (2002); Phys. Rev. B (to be published, 2004)

21 GaN: biexcitonic shift versus oscillator strength Optimal structure: QD height nm S.DeRinaldis, I. D Amico and F. Rossi, Appl. Phys. Lett., 81, page 4236 (2002);

22 Computational subspace 0 1 l l absence of presence of ground -state exciton in QD ground -state exciton in QD Computational state-space The whole computational space is spanned by the basis: n = l n l n l ( ), = 0,1 l l Many-body effective Hamiltonian: ~ ε = ε + ε l l n l ' l ll ' l' 0 = ε ˆ ˆ ˆ l l n l + ε ll ' ll ' n l n 1 2 ~ H renormalized excitonic S. Lloyd, Science 261, 1569 (1993) transitions l '

23 Simulated experiments We perform a direct numerical solution of the Liouville-von Neumann equation ρ i [ ~, ] ρ = H ρ + t t ( ρ the density matrix), deco which contains the quantum mechanical unitary evolution plus decoherence processes. Decoherence processes are described by phenomenological dephasing times T1, T2.

24 ε a ε a 1 0 a 0 0 b a b Single-qubit operations ε a ε a 0 0 a b 1 0 a b Single color π - rotation sequence : 0 a 1 a

25 ε a ε b + ε ε b Conditional dynamics of excitons ε a ε b ε a ε b + ε

26 ε a Conditional two-qubit operations ε b + ε ε b (GaN) PRB 65, R81309 (2002) ε ε + ε a b C-NOT: 1 a b a b 0 1 1, a b a b , a b a b a b a b

27 Generation of entangled states GaAs GaN PRB 65, (2002) PRB 65, R81309 (2002) ( ) a a b a b a b

28 Conclusions All-optical implementation of quantum information processing with semiconductor quantum dots Systematic analysis of GaAs and GaN based quantum dots as QIC devices Detailed study on engineering quantum dot coupling by exciton-exciton interactions Sub-picosecond two-qubit gating based on exciton-exciton interactions and driven by multicolor sequences of ultrafast laser pulses synergic use of spin (memory) and charge (gating) degrees of freedom (E. Pazy, E. Biolatti, T. Calarco, I. D'Amico, P. Zanardi, F. Rossi, P. Zoller, Europhys. Lett. 62, 175 (2003)) coupling to microcavities (M. Feng, I. D'Amico, P. Zanardi and F. Rossi, Phys. Rev. A 67, (2003). ) study of pure dephasing in GaAs and GaN based QDs (B. Krummheuer, V.M. Axt, T. Kuhn, I. D'Amico, and F. Rossi, preprint 2004)

Politecnico di Torino. Porto Institutional Repository

Politecnico di Torino. Porto Institutional Repository Politecnico di Torino Porto Institutional Repository [Article] Exciton-exciton interaction engineering in coupled GaN quantum dots Original Citation: De Rinaldis S., D Amico I., Rossi F. (2002). Exciton-exciton

More information

Deterministic Coherent Writing and Control of the Dark Exciton Spin using Short Single Optical Pulses

Deterministic Coherent Writing and Control of the Dark Exciton Spin using Short Single Optical Pulses Deterministic Coherent Writing and Control of the Dark Exciton Spin using Short Single Optical Pulses Ido Schwartz, Dan Cogan, Emma Schmidgall, Liron Gantz, Yaroslav Don and David Gershoni The Physics

More information

Optical control and decoherence of spin qubits in quantum dots

Optical control and decoherence of spin qubits in quantum dots Materials Science-Poland, Vol. 26, No. 4, 2008 Optical control and decoherence of spin qubits in quantum dots P. MACHNIKOWSKI 1*, A. GRODECKA 1,2**, C. WEBER 2***, A. KNORR 2 1 Institute of Physics, Wrocław

More information

Solid-state quantum communications and quantum computation based on single quantum-dot spin in optical microcavities

Solid-state quantum communications and quantum computation based on single quantum-dot spin in optical microcavities CQIQC-V -6 August, 03 Toronto Solid-state quantum communications and quantum computation based on single quantum-dot spin in optical microcavities Chengyong Hu and John G. Rarity Electrical & Electronic

More information

Electromagnetically Induced Transparency (EIT) via Spin Coherences in Semiconductor

Electromagnetically Induced Transparency (EIT) via Spin Coherences in Semiconductor Electromagnetically Induced Transparency (EIT) via Spin Coherences in Semiconductor Hailin Wang Oregon Center for Optics, University of Oregon, USA Students: Shannon O Leary Susanta Sarkar Yumin Shen Phedon

More information

Spin Coherent Phenomena in Quantum Dots Driven by Magnetic Fields

Spin Coherent Phenomena in Quantum Dots Driven by Magnetic Fields Spin Coherent Phenomena in Quantum Dots Driven by Magnetic Fields Gloria Platero Instituto de Ciencia de Materiales (ICMM), CSIC, Madrid, Spain María Busl (ICMM), Rafael Sánchez,Université de Genève Toulouse,

More information

Wave function engineering in quantum dot-ring structures

Wave function engineering in quantum dot-ring structures Wave function engineering in quantum dot-ring structures Nanostructures with highly controllable electronic properties E. Zipper, M. Kurpas, M. M. Maśka Instytut Fizyki, Uniwersytet Sląski w Katowicach,

More information

interband transitions in semiconductors M. Fox, Optical Properties of Solids, Oxford Master Series in Condensed Matter Physics

interband transitions in semiconductors M. Fox, Optical Properties of Solids, Oxford Master Series in Condensed Matter Physics interband transitions in semiconductors M. Fox, Optical Properties of Solids, Oxford Master Series in Condensed Matter Physics interband transitions in quantum wells Atomic wavefunction of carriers in

More information

Lecture 8, April 12, 2017

Lecture 8, April 12, 2017 Lecture 8, April 12, 2017 This week (part 2): Semiconductor quantum dots for QIP Introduction to QDs Single spins for qubits Initialization Read-Out Single qubit gates Book on basics: Thomas Ihn, Semiconductor

More information

Theory for strongly coupled quantum dot cavity quantum electrodynamics

Theory for strongly coupled quantum dot cavity quantum electrodynamics Folie: 1 Theory for strongly coupled quantum dot cavity quantum electrodynamics Alexander Carmele OUTLINE Folie: 2 I: Introduction and Motivation 1.) Atom quantum optics and advantages of semiconductor

More information

Image courtesy of Keith Schwab http://www.lbl.gov/science-articles/archive/afrd Articles/Archive/AFRD-quantum-logic.html http://www.wmi.badw.de/sfb631/tps/dqd2.gif http://qist.lanl.gov/qcomp_map.shtml

More information

Electrical Control of Single Spins in Semiconductor Quantum Dots Jason Petta Physics Department, Princeton University

Electrical Control of Single Spins in Semiconductor Quantum Dots Jason Petta Physics Department, Princeton University Electrical Control of Single Spins in Semiconductor Quantum Dots Jason Petta Physics Department, Princeton University g Q 2 m T + S Mirror U 3 U 1 U 2 U 3 Mirror Detector See Hanson et al., Rev. Mod. Phys.

More information

2.0 Basic Elements of a Quantum Information Processor. 2.1 Classical information processing The carrier of information

2.0 Basic Elements of a Quantum Information Processor. 2.1 Classical information processing The carrier of information QSIT09.L03 Page 1 2.0 Basic Elements of a Quantum Information Processor 2.1 Classical information processing 2.1.1 The carrier of information - binary representation of information as bits (Binary digits).

More information

Optically-controlled controlled quantum dot spins for quantum computers

Optically-controlled controlled quantum dot spins for quantum computers Optically-controlled controlled quantum dot spins for quantum computers David Press Yamamoto Group Applied Physics Department Ph.D. Oral Examination April 28, 2010 1 What could a Quantum Computer do? Simulating

More information

Quantum Computing with neutral atoms and artificial ions

Quantum Computing with neutral atoms and artificial ions Quantum Computing with neutral atoms and artificial ions NIST, Gaithersburg: Carl Williams Paul Julienne T. C. Quantum Optics Group, Innsbruck: Peter Zoller Andrew Daley Uwe Dorner Peter Fedichev Peter

More information

Experimental Quantum Computing: A technology overview

Experimental Quantum Computing: A technology overview Experimental Quantum Computing: A technology overview Dr. Suzanne Gildert Condensed Matter Physics Research (Quantum Devices Group) University of Birmingham, UK 15/02/10 Models of quantum computation Implementations

More information

Quantum Computation with Neutral Atoms Lectures 14-15

Quantum Computation with Neutral Atoms Lectures 14-15 Quantum Computation with Neutral Atoms Lectures 14-15 15 Marianna Safronova Department of Physics and Astronomy Back to the real world: What do we need to build a quantum computer? Qubits which retain

More information

Influence of hyperfine interaction on optical orientation in self-assembled InAs/GaAs quantum dots

Influence of hyperfine interaction on optical orientation in self-assembled InAs/GaAs quantum dots Influence of hyperfine interaction on optical orientation in self-assembled InAs/GaAs quantum dots O. Krebs, B. Eble (PhD), S. Laurent (PhD), K. Kowalik (PhD) A. Kudelski, A. Lemaître, and P. Voisin Laboratoire

More information

Coherence and optical electron spin rotation in a quantum dot. Sophia Economou NRL. L. J. Sham, UCSD R-B Liu, CUHK Duncan Steel + students, U Michigan

Coherence and optical electron spin rotation in a quantum dot. Sophia Economou NRL. L. J. Sham, UCSD R-B Liu, CUHK Duncan Steel + students, U Michigan Coherence and optical electron spin rotation in a quantum dot Sophia Economou Collaborators: NRL L. J. Sham, UCSD R-B Liu, CUHK Duncan Steel + students, U Michigan T. L. Reinecke, Naval Research Lab Outline

More information

An entangled LED driven quantum relay over 1km

An entangled LED driven quantum relay over 1km An entangled LED driven quantum relay over 1km Christiana Varnava 1,2 R. Mark Stevenson 1, J. Nilsson 1, J. Skiba Szymanska 1, B. Dzurnak 1, M. Lucamarini 1, A. J. Bennett 1,M. B. Ward 1, R. V. Penty 2,I.

More information

Photonic devices for quantum information processing:

Photonic devices for quantum information processing: Outline Photonic devices for quantum information processing: coupling to dots, structure design and fabrication Optoelectronics Group, Cavendish Lab Outline Vuckovic s group Noda s group Outline Outline

More information

Motion and motional qubit

Motion and motional qubit Quantized motion Motion and motional qubit... > > n=> > > motional qubit N ions 3 N oscillators Motional sidebands Excitation spectrum of the S / transition -level-atom harmonic trap coupled system & transitions

More information

+ - Indirect excitons. Exciton: bound pair of an electron and a hole.

+ - Indirect excitons. Exciton: bound pair of an electron and a hole. Control of excitons in multi-layer van der Waals heterostructures E. V. Calman, C. J. Dorow, M. M. Fogler, L. V. Butov University of California at San Diego, S. Hu, A. Mishchenko, A. K. Geim University

More information

Lecture 2: Double quantum dots

Lecture 2: Double quantum dots Lecture 2: Double quantum dots Basics Pauli blockade Spin initialization and readout in double dots Spin relaxation in double quantum dots Quick Review Quantum dot Single spin qubit 1 Qubit states: 450

More information

Electron spins in nonmagnetic semiconductors

Electron spins in nonmagnetic semiconductors Electron spins in nonmagnetic semiconductors Yuichiro K. Kato Institute of Engineering Innovation, The University of Tokyo Physics of non-interacting spins Optical spin injection and detection Spin manipulation

More information

Part I. Nanostructure design and structural properties of epitaxially grown quantum dots and nanowires

Part I. Nanostructure design and structural properties of epitaxially grown quantum dots and nanowires Part I Nanostructure design and structural properties of epitaxially grown quantum dots and nanowires 1 Growth of III V semiconductor quantum dots C. Schneider, S. Höfling and A. Forchel 1.1 Introduction

More information

Quantum Optics in Wavelength Scale Structures

Quantum Optics in Wavelength Scale Structures Quantum Optics in Wavelength Scale Structures SFB Summer School Blaubeuren July 2012 J. G. Rarity University of Bristol john.rarity@bristol.ac.uk Confining light: periodic dielectric structures Photonic

More information

Semiconductors: Applications in spintronics and quantum computation. Tatiana G. Rappoport Advanced Summer School Cinvestav 2005

Semiconductors: Applications in spintronics and quantum computation. Tatiana G. Rappoport Advanced Summer School Cinvestav 2005 Semiconductors: Applications in spintronics and quantum computation Advanced Summer School 1 I. Background II. Spintronics Spin generation (magnetic semiconductors) Spin detection III. Spintronics - electron

More information

and conversion to photons

and conversion to photons Semiconductor Physics Group Department of Physics Cavendish Laboratory, University of Cambridge Single-Electron Quantum Dots moving in Surface- Acoustic-Wave Minima: Electron Ping-Pong, and Quantum Coherence,

More information

Lecture2: Quantum Decoherence and Maxwell Angels L. J. Sham, University of California San Diego

Lecture2: Quantum Decoherence and Maxwell Angels L. J. Sham, University of California San Diego Michigan Quantum Summer School Ann Arbor, June 16-27, 2008. Lecture2: Quantum Decoherence and Maxwell Angels L. J. Sham, University of California San Diego 1. Motivation: Quantum superiority in superposition

More information

phys4.20 Page 1 - the ac Josephson effect relates the voltage V across a Junction to the temporal change of the phase difference

phys4.20 Page 1 - the ac Josephson effect relates the voltage V across a Junction to the temporal change of the phase difference Josephson Effect - the Josephson effect describes tunneling of Cooper pairs through a barrier - a Josephson junction is a contact between two superconductors separated from each other by a thin (< 2 nm)

More information

Supported by NSF and ARL

Supported by NSF and ARL Ultrafast Coherent Electron Spin Flip in a 2D Electron Gas Carey Phelps 1, Timothy Sweeney 1, Ronald T. Cox 2, Hailin Wang 1 1 Department of Physics, University of Oregon, Eugene, OR 97403 2 Nanophysics

More information

Quantum Information Processing with Semiconductor Quantum Dots. slides courtesy of Lieven Vandersypen, TU Delft

Quantum Information Processing with Semiconductor Quantum Dots. slides courtesy of Lieven Vandersypen, TU Delft Quantum Information Processing with Semiconductor Quantum Dots slides courtesy of Lieven Vandersypen, TU Delft Can we access the quantum world at the level of single-particles? in a solid state environment?

More information

Supplementary Information for

Supplementary Information for Supplementary Information for Ultrafast Universal Quantum Control of a Quantum Dot Charge Qubit Using Landau-Zener-Stückelberg Interference Gang Cao, Hai-Ou Li, Tao Tu, Li Wang, Cheng Zhou, Ming Xiao,

More information

Secrets of Quantum Information Science

Secrets of Quantum Information Science Secrets of Quantum Information Science Todd A. Brun Communication Sciences Institute USC Quantum computers are in the news Quantum computers represent a new paradigm for computing devices: computers whose

More information

QUANTUM CRYPTOGRAPHY QUANTUM COMPUTING. Philippe Grangier, Institut d'optique, Orsay. from basic principles to practical realizations.

QUANTUM CRYPTOGRAPHY QUANTUM COMPUTING. Philippe Grangier, Institut d'optique, Orsay. from basic principles to practical realizations. QUANTUM CRYPTOGRAPHY QUANTUM COMPUTING Philippe Grangier, Institut d'optique, Orsay 1. Quantum cryptography : from basic principles to practical realizations. 2. Quantum computing : a conceptual revolution

More information

Quantum Computation with Neutral Atoms

Quantum Computation with Neutral Atoms Quantum Computation with Neutral Atoms Marianna Safronova Department of Physics and Astronomy Why quantum information? Information is physical! Any processing of information is always performed by physical

More information

Exploring the quantum dynamics of atoms and photons in cavities. Serge Haroche, ENS and Collège de France, Paris

Exploring the quantum dynamics of atoms and photons in cavities. Serge Haroche, ENS and Collège de France, Paris Exploring the quantum dynamics of atoms and photons in cavities Serge Haroche, ENS and Collège de France, Paris Experiments in which single atoms and photons are manipulated in high Q cavities are modern

More information

Excitation Dynamics in Quantum Dots. Oleg Prezhdo U. Washington, Seattle

Excitation Dynamics in Quantum Dots. Oleg Prezhdo U. Washington, Seattle Excitation Dynamics in Quantum Dots Oleg Prezhdo U. Washington, Seattle Warwick August 27, 2009 Outline Time-Domain Density Functional Theory & Nonadiabatic Molecular Dynamics Quantum backreaction, surface

More information

Ultrafast optical rotations of electron spins in quantum dots. St. Petersburg, Russia

Ultrafast optical rotations of electron spins in quantum dots. St. Petersburg, Russia Ultrafast optical rotations of electron spins in quantum dots A. Greilich 1*, Sophia E. Economou 2, S. Spatzek 1, D. R. Yakovlev 1,3, D. Reuter 4, A. D. Wieck 4, T. L. Reinecke 2, and M. Bayer 1 1 Experimentelle

More information

CMSC 33001: Novel Computing Architectures and Technologies. Lecture 06: Trapped Ion Quantum Computing. October 8, 2018

CMSC 33001: Novel Computing Architectures and Technologies. Lecture 06: Trapped Ion Quantum Computing. October 8, 2018 CMSC 33001: Novel Computing Architectures and Technologies Lecturer: Kevin Gui Scribe: Kevin Gui Lecture 06: Trapped Ion Quantum Computing October 8, 2018 1 Introduction Trapped ion is one of the physical

More information

Quantum computation and quantum information

Quantum computation and quantum information Quantum computation and quantum information Chapter 7 - Physical Realizations - Part 2 First: sign up for the lab! do hand-ins and project! Ch. 7 Physical Realizations Deviate from the book 2 lectures,

More information

Quantum Information Processing with Semiconductor Quantum Dots

Quantum Information Processing with Semiconductor Quantum Dots Quantum Information Processing with Semiconductor Quantum Dots slides courtesy of Lieven Vandersypen, TU Delft Can we access the quantum world at the level of single-particles? in a solid state environment?

More information

Quantum Computation 650 Spring 2009 Lectures The World of Quantum Information. Quantum Information: fundamental principles

Quantum Computation 650 Spring 2009 Lectures The World of Quantum Information. Quantum Information: fundamental principles Quantum Computation 650 Spring 2009 Lectures 1-21 The World of Quantum Information Marianna Safronova Department of Physics and Astronomy February 10, 2009 Outline Quantum Information: fundamental principles

More information

Short Course in Quantum Information Lecture 8 Physical Implementations

Short Course in Quantum Information Lecture 8 Physical Implementations Short Course in Quantum Information Lecture 8 Physical Implementations Course Info All materials downloadable @ website http://info.phys.unm.edu/~deutschgroup/deutschclasses.html Syllabus Lecture : Intro

More information

Fabrication / Synthesis Techniques

Fabrication / Synthesis Techniques Quantum Dots Physical properties Fabrication / Synthesis Techniques Applications Handbook of Nanoscience, Engineering, and Technology Ch.13.3 L. Kouwenhoven and C. Marcus, Physics World, June 1998, p.35

More information

Transient Intersubband Optical Absorption in Double Quantum Well Structure

Transient Intersubband Optical Absorption in Double Quantum Well Structure Commun. Theor. Phys. (Beijing, China) 43 (2005) pp. 759 764 c International Academic Publishers Vol. 43, No. 4, April 15, 2005 Transient Intersubband Optical Absorption in Double Quantum Well Structure

More information

Quantum Computers. Todd A. Brun Communication Sciences Institute USC

Quantum Computers. Todd A. Brun Communication Sciences Institute USC Quantum Computers Todd A. Brun Communication Sciences Institute USC Quantum computers are in the news Quantum computers represent a new paradigm for computing devices: computers whose components are individual

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION Supporting online material SUPPLEMENTARY INFORMATION doi: 0.038/nPHYS8 A: Derivation of the measured initial degree of circular polarization. Under steady state conditions, prior to the emission of the

More information

Summary lecture VI. with the reduced mass and the dielectric background constant

Summary lecture VI. with the reduced mass and the dielectric background constant Summary lecture VI Excitonic binding energy reads with the reduced mass and the dielectric background constant Δ Statistical operator (density matrix) characterizes quantum systems in a mixed state and

More information

arxiv: v1 [quant-ph] 11 Nov 2014

arxiv: v1 [quant-ph] 11 Nov 2014 Electric dipoles on the Bloch sphere arxiv:1411.5381v1 [quant-ph] 11 Nov 014 Amar C. Vutha Dept. of Physics & Astronomy, York Univerity, Toronto ON M3J 1P3, Canada email: avutha@yorku.ca Abstract The time

More information

Simple strategy for enhancing terahertz emission from coherent longitudinal optical phonons using undoped GaAs/n-type GaAs epitaxial layer structures

Simple strategy for enhancing terahertz emission from coherent longitudinal optical phonons using undoped GaAs/n-type GaAs epitaxial layer structures Presented at ISCS21 June 4, 21 Session # FrP3 Simple strategy for enhancing terahertz emission from coherent longitudinal optical phonons using undoped GaAs/n-type GaAs epitaxial layer structures Hideo

More information

*WILEY- Quantum Computing. Joachim Stolze and Dieter Suter. A Short Course from Theory to Experiment. WILEY-VCH Verlag GmbH & Co.

*WILEY- Quantum Computing. Joachim Stolze and Dieter Suter. A Short Course from Theory to Experiment. WILEY-VCH Verlag GmbH & Co. Joachim Stolze and Dieter Suter Quantum Computing A Short Course from Theory to Experiment Second, Updated and Enlarged Edition *WILEY- VCH WILEY-VCH Verlag GmbH & Co. KGaA Contents Preface XIII 1 Introduction

More information

Optimal Controlled Phasegates for Trapped Neutral Atoms at the Quantum Speed Limit

Optimal Controlled Phasegates for Trapped Neutral Atoms at the Quantum Speed Limit with Ultracold Trapped Atoms at the Quantum Speed Limit Michael Goerz May 31, 2011 with Ultracold Trapped Atoms Prologue: with Ultracold Trapped Atoms Classical Computing: 4-Bit Full Adder Inside the CPU:

More information

Superconducting Qubits Lecture 4

Superconducting Qubits Lecture 4 Superconducting Qubits Lecture 4 Non-Resonant Coupling for Qubit Readout A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, PRA 69, 062320 (2004) Measurement Technique Dispersive Shift

More information

Analytical Investigation of Slow Light Systems with Strained Quantum Wells Structure under Applied Magnetic and Electric Fields Based on V-type EIT

Analytical Investigation of Slow Light Systems with Strained Quantum Wells Structure under Applied Magnetic and Electric Fields Based on V-type EIT International Journal of Optics and Applications 27, 7(2): 42-48 DOI:.5923/j.optics.2772.3 Analytical Investigation of Slow Light Systems with Strained Quantum Wells Structure under Applied Magnetic and

More information

Cavity QED with quantum dots in microcavities

Cavity QED with quantum dots in microcavities Cavity QED with quantum dots in microcavities Martin van Exter, Morten Bakker, Thomas Ruytenberg, Wolfgang Löffler, Dirk Bouwmeester (Leiden) Ajit Barve, Larry Coldren (UCSB) Motivation and Applications

More information

Single Semiconductor Nanostructures for Quantum Photonics Applications: A solid-state cavity-qed system with semiconductor quantum dots

Single Semiconductor Nanostructures for Quantum Photonics Applications: A solid-state cavity-qed system with semiconductor quantum dots The 3 rd GCOE Symposium 2/17-19, 19, 2011 Tohoku University, Sendai, Japan Single Semiconductor Nanostructures for Quantum Photonics Applications: A solid-state cavity-qed system with semiconductor quantum

More information

THz experiments at the UCSB FELs and the THz Science and Technology Network.

THz experiments at the UCSB FELs and the THz Science and Technology Network. THz experiments at the UCSB FELs and the THz Science and Technology Network. Mark Sherwin UCSB Physics Department and Institute for Quantum and Complex Dynamics UCSB Center for Terahertz Science and Technology

More information

SUPPLEMENTARY INFORMATION

SUPPLEMENTARY INFORMATION doi:10.1038/nature12036 We provide in the following additional experimental data and details on our demonstration of an electrically pumped exciton-polariton laser by supplementing optical and electrical

More information

Quantum optics with multi-level transitions in semiconductor quantum dots

Quantum optics with multi-level transitions in semiconductor quantum dots Quantum optics with multi-level transitions in semiconductor quantum dots Brian Gerardot Institute of Photonics and Quantum Sciences, SUPA Heriot-Watt University, Edinburgh, UK Confocal Quantum Coherent

More information

Optical Control of Coherent Interactions between Electron Spins in InGaAs Quantum Dots

Optical Control of Coherent Interactions between Electron Spins in InGaAs Quantum Dots Optical Control of Coherent Interactions between Electron Spins in InGaAs Quantum Dots S. Spatzek, 1 A. Greilich, 1, * Sophia E. Economou, 2 S. Varwig, 1 A. Schwan, 1 D. R. Yakovlev, 1,3 D. Reuter, 4 A.

More information

Quantum Confinement in Graphene

Quantum Confinement in Graphene Quantum Confinement in Graphene from quasi-localization to chaotic billards MMM dominikus kölbl 13.10.08 1 / 27 Outline some facts about graphene quasibound states in graphene numerical calculation of

More information

Supplementary Information

Supplementary Information Supplementary Information I. Sample details In the set of experiments described in the main body, we study an InAs/GaAs QDM in which the QDs are separated by 3 nm of GaAs, 3 nm of Al 0.3 Ga 0.7 As, and

More information

Ion trap quantum processor

Ion trap quantum processor Ion trap quantum processor Laser pulses manipulate individual ions row of qubits in a linear Paul trap forms a quantum register Effective ion-ion interaction induced by laser pulses that excite the ion`s

More information

Quantum Memory with Atomic Ensembles

Quantum Memory with Atomic Ensembles Lecture Note 5 Quantum Memory with Atomic Ensembles 04.06.2008 Difficulties in Long-distance Quantum Communication Problems leads Solutions Absorption (exponentially) Decoherence Photon loss Degrading

More information

Entangled Photon Generation via Biexciton in a Thin Film

Entangled Photon Generation via Biexciton in a Thin Film Entangled Photon Generation via Biexciton in a Thin Film Hiroshi Ajiki Tokyo Denki University 24,Apr. 2017 Emerging Topics in Optics (IMA, Univ. Minnesota) Entangled Photon Generation Two-photon cascade

More information

Quantum Information Science (QIS)

Quantum Information Science (QIS) Quantum Information Science (QIS) combination of three different fields: Quantum Physics QIS Computer Science Information Theory Lecture 1 - Outline 1. Quantum Mechanics 2. Computer Science History 3.

More information

P 3/2 P 1/2 F = -1.5 F S 1/2. n=3. n=3. n=0. optical dipole force is state dependent. n=0

P 3/2 P 1/2 F = -1.5 F S 1/2. n=3. n=3. n=0. optical dipole force is state dependent. n=0 (two-qubit gate): tools: optical dipole force P 3/2 P 1/2 F = -1.5 F n=3 n=3 n=0 S 1/2 n=0 optical dipole force is state dependent tools: optical dipole force (e.g two qubits) ω 2 k1 d ω 1 optical dipole

More information

Single Spin Qubits, Qubit Gates and Qubit Transfer with Quantum Dots

Single Spin Qubits, Qubit Gates and Qubit Transfer with Quantum Dots International School of Physics "Enrico Fermi : Quantum Spintronics and Related Phenomena June 22-23, 2012 Varenna, Italy Single Spin Qubits, Qubit Gates and Qubit Transfer with Quantum Dots Seigo Tarucha

More information

Multiple Exciton Generation in Quantum Dots. James Rogers Materials 265 Professor Ram Seshadri

Multiple Exciton Generation in Quantum Dots. James Rogers Materials 265 Professor Ram Seshadri Multiple Exciton Generation in Quantum Dots James Rogers Materials 265 Professor Ram Seshadri Exciton Generation Single Exciton Generation in Bulk Semiconductors Multiple Exciton Generation in Bulk Semiconductors

More information

arxiv:quant-ph/ v2 15 Jul 1999

arxiv:quant-ph/ v2 15 Jul 1999 Quantum information processing using quantum dot spins and cavity-qed A. Imamoḡlu 1,2, D. D. Awschalom 2, G. Burkard 3, D. P. DiVincenzo 3, D. Loss 3, M. Sherwin 2, A. Small 2 1 Department of Electrical

More information

Electrically Driven Polariton Devices

Electrically Driven Polariton Devices Electrically Driven Polariton Devices Pavlos Savvidis Dept of Materials Sci. & Tech University of Crete / FORTH Polariton LED Rome, March 18, 211 Outline Polariton LED device operating up to room temperature

More information

A STUDY OF DYNAMIC CHARACTERIZATIONS OF GaAs/ALGaAs SELF-ASSEMBLED QUANTUM DOT LASERS

A STUDY OF DYNAMIC CHARACTERIZATIONS OF GaAs/ALGaAs SELF-ASSEMBLED QUANTUM DOT LASERS Romanian Reports in Physics, Vol. 63, No. 4, P. 1061 1069, 011 A STUDY OF DYNAMIC CHARACTERIZATIONS OF GaAs/ALGaAs SELF-ASSEMBLED QUANTUM DOT LASERS H. ARABSHAHI Payame Nour University of Fariman, Department

More information

EXCITONS, PLASMONS, AND EXCITONIC COMPLEXES UNDER STRONG CONFINEMENT IN QUASI-1D SEMICONDUCTORS. Theory and Perspectives

EXCITONS, PLASMONS, AND EXCITONIC COMPLEXES UNDER STRONG CONFINEMENT IN QUASI-1D SEMICONDUCTORS. Theory and Perspectives EXCITONS, PLASMONS, AND EXCITONIC COMPLEXES UNDER STRONG CONFINEMENT IN QUASI-1D SEMICONDUCTORS. Theory and Perspectives Igor Bondarev Math & Physics Department North Carolina Central University Durham,

More information

Quantum Dot Spin QuBits

Quantum Dot Spin QuBits QSIT Student Presentations Quantum Dot Spin QuBits Quantum Devices for Information Technology Outline I. Double Quantum Dot S II. The Logical Qubit T 0 III. Experiments I. Double Quantum Dot 1. Reminder

More information

Contents. List of contributors Preface. Part I Nanostructure design and structural properties of epitaxially grown quantum dots and nanowires 1

Contents. List of contributors Preface. Part I Nanostructure design and structural properties of epitaxially grown quantum dots and nanowires 1 Table of List of contributors Preface page xi xv Part I Nanostructure design and structural properties of epitaxially grown quantum dots and nanowires 1 1 Growth of III V semiconductor quantum dots C.

More information

Contents Part I Concepts 1 The History of Heterostructure Lasers 2 Stress-Engineered Quantum Dots: Nature s Way

Contents Part I Concepts 1 The History of Heterostructure Lasers 2 Stress-Engineered Quantum Dots: Nature s Way Contents Part I Concepts 1 The History of Heterostructure Lasers Zhores I. Alferov... 3 1.1 Introduction... 3 1.2 The DHS Concept and Its Application for Semiconductor Lasers. 3 1.3 Quantum Dot Heterostructure

More information

tunneling theory of few interacting atoms in a trap

tunneling theory of few interacting atoms in a trap tunneling theory of few interacting atoms in a trap Massimo Rontani CNR-NANO Research Center S3, Modena, Italy www.nano.cnr.it Pino D Amico, Andrea Secchi, Elisa Molinari G. Maruccio, M. Janson, C. Meyer,

More information

Mutual transparency of coherent laser beams through a terahertz-field-driven quantum well

Mutual transparency of coherent laser beams through a terahertz-field-driven quantum well A. Maslov and D. Citrin Vol. 19, No. 8/August 2002/J. Opt. Soc. Am. B 1905 Mutual transparency of coherent laser beams through a terahertz-field-driven quantum well Alexey V. Maslov and D. S. Citrin School

More information

arxiv: v2 [cond-mat.mes-hall] 29 Jan 2010

arxiv: v2 [cond-mat.mes-hall] 29 Jan 2010 Damping of Exciton Rabi Rotations by Acoustic Phonons in Optically Excited InGaAs/GaAs Quantum Dots arxiv:0903.5278v2 [cond-mat.mes-hall] 29 Jan 2010 A. J. Ramsay, 1, Achanta Venu Gopal, 2 E. M. Gauger,

More information

400 nm Solid State Qubits (1) Daniel Esteve GROUP. SPEC, CEA-Saclay

400 nm Solid State Qubits (1) Daniel Esteve GROUP. SPEC, CEA-Saclay 400 nm Solid State Qubits (1) S D Daniel Esteve QUAN UM ELECT RONICS GROUP SPEC, CEA-Saclay From the Copenhagen school (1937) Max Planck front row, L to R : Bohr, Heisenberg, Pauli,Stern, Meitner, Ladenburg,

More information

Quantum Computing. Joachim Stolze and Dieter Suter. A Short Course from Theory to Experiment. WILEY-VCH Verlag GmbH & Co. KGaA

Quantum Computing. Joachim Stolze and Dieter Suter. A Short Course from Theory to Experiment. WILEY-VCH Verlag GmbH & Co. KGaA Joachim Stolze and Dieter Suter Quantum Computing A Short Course from Theory to Experiment Second, Updated and Enlarged Edition WILEY- VCH WILEY-VCH Verlag GmbH & Co. KGaA Preface XIII 1 Introduction and

More information

Optical Manipulation of an Electron Spin in Quantum Dots

Optical Manipulation of an Electron Spin in Quantum Dots Optical Manipulation of an Electron Spin in Quantum Dots Al. L. Efros Naval Research Laoratory, Washington DC, USA Acknowledgements: DARPA/QuIST and ONR Kavli Institute for Theoretical Physics, UC Santa

More information

Physics and Material Science of Semiconductor Nanostructures

Physics and Material Science of Semiconductor Nanostructures Physics and Material Science of Semiconductor Nanostructures PHYS 570P Prof. Oana Malis Email: omalis@purdue.edu Course website: http://www.physics.purdue.edu/academic_programs/courses/phys570p/ 1 Course

More information

NANOESTRUCTURAS V Escuela Nacional de Física de la Materia Condensada

NANOESTRUCTURAS V Escuela Nacional de Física de la Materia Condensada NANOESTRUCTURAS V Escuela Nacional de Física de la Materia Condensada Parte III Sergio E. Ulloa Department of Physics and Astronomy, CMSS, and Nanoscale and Quantum Phenomena Institute Ohio University,

More information

Quantum computer: basics, gates, algorithms

Quantum computer: basics, gates, algorithms Quantum computer: basics, gates, algorithms single qubit gate various two qubit gates baby-steps shown so far with ion quantum processors and how to reach a scalable device in future Ulm, Germany: 40 Ca

More information

Optics and Quantum Optics with Semiconductor Nanostructures. Overview

Optics and Quantum Optics with Semiconductor Nanostructures. Overview Optics and Quantum Optics with Semiconductor Nanostructures Stephan W. Koch Department of Physics, Philipps University, Marburg/Germany and Optical Sciences Center, University of Arizona, Tucson/AZ Overview

More information

Quantum Optics with Mesoscopic Systems II

Quantum Optics with Mesoscopic Systems II Quantum Optics with Mesoscopic Systems II A. Imamoglu Quantum Photonics Group, Department of Physics ETH-Zürich Outline 1) Cavity-QED with a single quantum dot 2) Optical pumping of quantum dot spins 3)

More information

Microscopic Modelling of the Optical Properties of Quantum-Well Semiconductor Lasers

Microscopic Modelling of the Optical Properties of Quantum-Well Semiconductor Lasers Microscopic Modelling of the Optical Properties of Quantum-Well Semiconductor Lasers Stephan W. Koch Department of Physics Philipps University, Marburg/Germany OVERVIEW - Outline of Theory - Gain/Absorption

More information

Nanoscience galore: hybrid and nanoscale photonics

Nanoscience galore: hybrid and nanoscale photonics Nanoscience galore: hybrid and nanoscale photonics Pavlos Lagoudakis SOLAB, 11 June 2013 Hybrid nanophotonics Nanostructures: light harvesting and light emitting devices 2 Hybrid nanophotonics Nanostructures:

More information

Theory of quantum dot cavity-qed

Theory of quantum dot cavity-qed 03.01.2011 Slide: 1 Theory of quantum dot cavity-qed -- LO-phonon induced cavity feeding and antibunching of thermal radiation -- Alexander Carmele, Julia Kabuss, Marten Richter, Andreas Knorr, and Weng

More information

Quantum Information Processing with Trapped Ions. Experimental implementation of quantum information processing with trapped ions

Quantum Information Processing with Trapped Ions. Experimental implementation of quantum information processing with trapped ions Quantum Information Processing with Trapped Ions Overview: Experimental implementation of quantum information processing with trapped ions 1. Implementation concepts of QIP with trapped ions 2. Quantum

More information

Entanglement creation and characterization in a trapped-ion quantum simulator

Entanglement creation and characterization in a trapped-ion quantum simulator Time Entanglement creation and characterization in a trapped-ion quantum simulator Christian Roos Institute for Quantum Optics and Quantum Information Innsbruck, Austria Outline: Highly entangled state

More information

Dipole-coupling a single-electron double quantum dot to a microwave resonator

Dipole-coupling a single-electron double quantum dot to a microwave resonator Dipole-coupling a single-electron double quantum dot to a microwave resonator 200 µm J. Basset, D.-D. Jarausch, A. Stockklauser, T. Frey, C. Reichl, W. Wegscheider, T. Ihn, K. Ensslin and A. Wallraff Quantum

More information

Requirements for scaleable QIP

Requirements for scaleable QIP p. 1/25 Requirements for scaleable QIP These requirements were presented in a very influential paper by David Divincenzo, and are widely used to determine if a particular physical system could potentially

More information

Ground state cooling via Sideband cooling. Fabian Flassig TUM June 26th, 2013

Ground state cooling via Sideband cooling. Fabian Flassig TUM June 26th, 2013 Ground state cooling via Sideband cooling Fabian Flassig TUM June 26th, 2013 Motivation Gain ultimate control over all relevant degrees of freedom Necessary for constant atomic transition frequencies Do

More information

Ion crystallisation. computing

Ion crystallisation. computing Ion crystallisation and application to quantum computing Cooling with incrased laser power: (a) reduced Doppler width (b) Kink in the line profile (b) P=0.2 mw P=0.5 mw Excitation spectra of an ion cloud

More information

Intraband emission of GaN quantum dots at λ =1.5 μm via resonant Raman scattering

Intraband emission of GaN quantum dots at λ =1.5 μm via resonant Raman scattering Intraband emission of GaN quantum dots at λ =1.5 μm via resonant Raman scattering L. Nevou, F. H. Julien, M. Tchernycheva, J. Mangeney Institut d Electronique Fondamentale, UMR CNRS 8622, University Paris-Sud

More information

Quantum Physics in the Nanoworld

Quantum Physics in the Nanoworld Hans Lüth Quantum Physics in the Nanoworld Schrödinger's Cat and the Dwarfs 4) Springer Contents 1 Introduction 1 1.1 General and Historical Remarks 1 1.2 Importance for Science and Technology 3 1.3 Philosophical

More information