Hybrid Quantum Circuit with a Superconducting Qubit coupled to a Spin Ensemble
|
|
- Clare Ford
- 5 years ago
- Views:
Transcription
1 Hybrid Quantum Circuit with a Superconducting Qubit coupled to a Spin Ensemble, Cécile GREZES, Andreas DEWES, Denis VION, Daniel ESTEVE, & Patrice BERTET Quantronics Group, SPEC, CEA- Saclay Collaborating with: J. ISOYA (University of Tsukuba, Japan), V. JACQUES, A. DREAU, J.- F. ROCH (ENS- Cachan, France), I. DINIZ, A. AUFFEVES (CNRS- Grenoble, France)
2 Outline Superconducting quantum circuit: - qubit & resonator Strong coupling of a spin ensemble to a superconducting resonator: - as a first step towards superconducting hybrid quantum circuit Hybrid quantum circuit with a qubit coupled to NVs: - storage and retrieval of quantum state from/to qubit to/ from NVs
3 Quantum electronic (integrated) circuit = Harmonic oscillator k m k m [x,p] = - iħ In circuit k B T << ħω High Q factor E L = 1 LC LC resonator Φ +Q - Q C [Φ,Q] = - iħ For details, see e.g., Devoret and Martinis, Quantum Inform. Processing 3, 163 (2004) Superconductor 2 DOS Low loss Macroscopic degrees of freedom Superconducting gap (>~ 100 GHz)
4 Superconducting qubit: Josephson junction Josephson junction(s): non- linear & non- dissipative inductance H q = Q2 2C I 0 2e cos nm Al AlOx Al I = I 0 sin d dt = 2eV DC Josephson AC Josephson I 0 : critical current of Junction : Phase difference Unharmonic potential Lowest 2 states as a qubit Review (e.g.): Clerke and Wilhelm, Nature 453, 1031 (2008)
5 Coupling qubits to microwave photons Co- planar waveguide GND plane 5 µm GND plane ~1 cm Low loss Large vacuum fluctuation Wallraff et al., Nature (2004) Superconducting co- planar waveguide (CPW) Resonator STRONG COUPLING Superconducting Qubit (Artificial atom)
6 The hybrid way for Quantum Information Superconducting qubits Design flexibility Scalability Tunability large coupling(s) : fast manipulation Irreproducibility Short coherence time (~< 100μs) Microscopic system: atoms, ions, spins Long coherence times µ- waves to optical frequencies Reproducibility Nature given Small couplings: slow Limited scalability 1µ Quantum processor Wallraff et al., 2004 Idea : Take only the best of both worlds Superconducting resonator Quantum memory Kubo et al., PRL 105, (2010) Quantum Interface (Bus)
7 Which microscopic system?: NV- centers in diamond Together with SC qubits: technical constraints working on ~mk (in a dilution fridge) Low B (<< kg for Al films) Our choice: e- spin of Nitrogen- Vacancy centers (NV center) 2.88 GHz Spin triplet (S = 1) with Zero- field splitting - No need of high B to obtain ~GHz ESR frequency - Polarization at dilution fridge temperature Long coherence time (T 2 ~ room T!) Solid: naturally trapped in a crystal - No need of any (difficult) trapping technique
8 Spin states of NV- centers: Zeeman & Hyperfine V N n-spin e-spin m s = ± Hyperfine structure due to 14 N n- spin B NV 2.88GHz S = 1 I = 1 m s =0 m I = +1, - 1, 0 H/ = DS 2 z + E(S 2 x S 2 y) g e µ B B NV S +S A I Zero- field spli/ng Zeeman shi5 Hyperfine
9 Spin states of NV- centers: Zeeman & Hyperfine Ensemble measurement m s = - 1 m s = +1 V N n-spin e-spin B NV Acostaet al,prb 80, (2009) H/ = DS 2 z + E(S 2 x S 2 y) g e µ B B NV S +S A I Zero- field spli/ng Zeeman shi5 Hyperfine
10 Coupling a single NV center to a resonator Coupling constant: g/2 = g NV µ B B 0 h z y x x y z Br single NV - resonator Hamiltonian : x Vacuum magne>c field above the surface y with g/2π 11 Hz Not enough!! y (µm)
11 Collective enhancement of coupling constant N- Spin- resonator Hamiltonian : resonator Harmonic oscillator 2 0 with N = (10 18 cm - 3 ) ~ 10 MHz Strong coupling regime accessible Need many spins (NVs) dirty diamond Inhomogeneous broadening: Kurucz et al, PRA 83, (2011) Diniz et al, PRA 84, (2011)
12 The quantum bus: frequency tunable resonator SQUID: Superconducting loop interrupted by 2 Josephson junctions δ 1 δ 2 Φ Flux quantization 0 = /2e DC Josephson effect 2 µm Φ B r GND SIS junction (Al/AlO x /Al) I = I c sin I c ( )=2I c0 cos ( / 0 ) I c 2.95 r = 1 CL( ) Linear regime: tunableinductor Φ ω r / 2π (GHz) Φ / Φ 0
13 Tunable Resonator: implementation Nb on SiO 2 /Si chip Br 10#µm# Superconducting quantum interference devices (SQUID) Coupling capacitor
14 Measurement setup Isolators
15 Strong coupling of a spin ensemble to µ- w photons Without diamond 40mK ω / 2π (GHz) Φ / Φ 0
16 Strong coupling of a spin ensemble to µ- w photons db With diamond 40mK ω / 2π (GHz) 2.85 S 21 (db) B NV mt db Φ / Φ 0
17 Strong coupling of a spin ensemble to µ- w photons db With diamond 40mK ω / 2π (GHz) 2.85 S 21 (db) B NV mt db Φ / Φ 0
18 Strong coupling of a spin ensemble to µ- w photons db With diamond 40mK ω / 2π (GHz) 2.85 S 21 (db) B NV mt db Kubo et al., PRL (2010) See also Schuster et al., PRL (2010) Amsuss et al, PRL (2011) Bushev et al., PRB(R) (2011) Φ / Φ 0 Reso Spin +1> Spin - 1>
19 The hybrid quantum circuit Transmon qubit Bus resonator B 1 e Q R single- shot JBA readout Qubit drive & readout resonator NV NV ensemble Frequency- tuning by flux ω r / 2π (GHz) F g Φ / Φ 0
20 Device photos 1 mm The diamond 1 2 HPHT e- irradiated [NV- ] ~ 13 ppm, [N] ~ 13 ppm Prof. J. ISOYA (Univ. Tsukuba) F 50 µm m 0.1 mm Transmon qubit SQUID for bus- frequency tuning External coil Printed circuit board 1 2 F BNV // [111] BNV 30 mk
21 Device characterization: spectroscopy Bus transmission S21 Q 1 B NV -40 R //[1,1,1] III I 1 isolated bond & 3 degenerated bonds Qubit Pe BNV Frequency, ω/2π (GHz) 2.90 S21 (db) ms= Flux, Φ/Φ0
22 Pulse sequences Duration t Readout Rabi JBA switching probability Psw Qubit characterization: Rabi, T1, & T2 t 0.8 wait time t T1 Readout π/2 with small detuning T2 evolution time t Q π Readout π π/ Microwave pulse duration t (ns) 500 T1qubit = 1.75 µs T2qubit = 2.2 µs Readout
23 Coupling qubit to spin ensemble: single photon swap B 1 Q R NV F e> g> Qubit Bus Spins Qubit pump- up Interaction Measurement >? = 1 3 < ; = *@ABC
24 Coupling qubit to spin ensemble: single photon swap B 1 Q R NV F e> g> Qubit Bus Spins Qubit pump- up Interaction Measurement >? = 1 3 < ; = *@ABC
25 Coupling qubit to spin ensemble: single photon swap B 1 Q R NV F e> g> Qubit Bus Spins Qubit pump- up Interaction Measurement >? = 1 3 < ; = *@ABC
26 Coupling qubit to spin ensemble: single photon swap B 1 Q R NV F e> g> Qubit Bus Spins Qubit pump- up Interaction Measurement >? = 1 3 < ; = *@ABC
27 Coupling qubit to spin ensemble: single photon swap B 1 Q R NV F e> g> Qubit Bus Spins Qubit pump- up Interaction Measurement >? = 1 3 < ; = *@ABC
28 Single photon swap between qubit and spins BNV -40 Frequency, ω/2π (GHz) I - 1 storage/retrieval of a SINGLE microwave photon into/from a spin ensemble Y. Kubo et al., PRL 107, (2011). See also Zhu et al. Nature (2011). S21 (db) III -70 Qubit excited state probability, Pe B, 0N V 0B, 1N V 1B, 0N V τs,i Pe(τr)/Pe(0) = 7 % for single bond τr,i Interaction time,τ (ns) 600 Theory with 1.6 MHz ESR linewidth (inhomogeneous broadening) by I. Diniz & A. Auffeves
29 Single photon swap between qubit and spins BNV -40 Frequency, ω/2π (GHz) I - 1 Low fidelity: oscillation suppressed by beatings due to 14N hyperfine structure Y. Kubo et al., PRL 107, (2011). See also Zhu et al. Nature (2011). S21 (db) III -70 Qubit excited state probability, Pe 2.95 Pe(τr)/Pe(0) = 14 % for triple bond 0.4 τs,iii τr,iii Interaction time, τ (ns) 600 Theory with 2.4 MHz ESR linewidth (inhomogeneous broadening) by I. Diniz & A. Auffeves
30 Storage/retrieval of quantum coherence ( + )/ 2 g> e> g> e> State preparation NV X( /2) Qubit Interaction Bus Spins Tomography Measurement I, X,Y R Q B
31 Storage/retrieval of quantum coherence ( + )/ 2 g> e> g> e> State preparation NV X( /2) Qubit Interaction Bus Spins Tomography Measurement I, X,Y R Q B
32 Storage/retrieval of quantum coherence ( + )/ 2 g> e> g> e> State preparation NV X( /2) Qubit Interaction Bus Spins Tomography Measurement I, X,Y R Q B
33 Storage/retrieval of quantum coherence ( + )/ 2 g> e> g> e> State preparation NV X( /2) Qubit Interaction Bus Spins Tomography Measurement I, X,Y R Q B
34 Storage/retrieval of quantum coherence ( + )/ 2 g> e> g> e> State preparation NV X( /2) Qubit Interaction Bus Spins Tomography Measurement I, X,Y R Q B
35 Storage/retrieval of quantum coherence ( + )/ 2 g> e> g> e> State preparation NV X( /2) Qubit Interaction Bus Spins Tomography Measurement I, X,Y R Q B
36 Quantum state tomography of retrieved state I, X,Y X( /2) Q R aswap B 0.4 State tomography by no pulse (I), π/2(x), π/2(y) No coherence left 0.4 τs,i <σ x> π/2(x) π shifts X π/2(y) e> > <σ y> ac 0.2i n0 (n Interaction time τ (ns) PRL 107, (2011) 2 ρge g> 0.2 Coherence retrieved! 0.2 τr,i (20%) arg(ρge) NV
37 Spin- Photon entanglement Single photon swap >? ; = *@ABC = 1 3 < Qubit excited state probability, P e B, 0 NV τ π/2 0 B, 1 NV Interaction time,τ (ns) Spin- photon entanglement at the half- swap time τ π/2 ( 1 B, 0 NV + 0 B, 1 NV )/ 2
38 Spin- Photon entanglement Excited state probability, Pe NV Q B aswap /2 /2 R Spin- photon entangled state: ( 1 B, 0 NV + e i 0 B, 1 NV )/ 2 Theory with 1.6 MHz ESR linewidth Delay time, τ (ns) T 2 * ~ 200 ns: limited by inhomogeneous broadening of the spin ensemble FFT amp (a.u.) Frequency (MHz) 600 Hyperfine structure!
39 Summary & Perspective Hybrid quantum circuit with a superconducting qubit coherently coupled to an ensemble of NV centers in a diamond (first step towards quantum memory for microwave photons) Low fidelity due to small coupling constant and inhomogeneous broadening of the spins To improve: more spins and narrower linewidth (=less residual nitrogens, i.e., full conversion into NVs) Next step: Refocusing (spin echo) to really benefit the long coherence time of NV centers
Distributing Quantum Information with Microwave Resonators in Circuit QED
Distributing Quantum Information with Microwave Resonators in Circuit QED M. Baur, A. Fedorov, L. Steffen (Quantum Computation) J. Fink, A. F. van Loo (Collective Interactions) T. Thiele, S. Hogan (Hybrid
More informationElectrical quantum engineering with superconducting circuits
1.0 10 0.8 01 switching probability 0.6 0.4 0.2 00 P. Bertet & R. Heeres SPEC, CEA Saclay (France), Quantronics group 11 0.0 0 100 200 300 400 swap duration (ns) Electrical quantum engineering with superconducting
More informationDynamical Casimir effect in superconducting circuits
Dynamical Casimir effect in superconducting circuits Dynamical Casimir effect in a superconducting coplanar waveguide Phys. Rev. Lett. 103, 147003 (2009) Dynamical Casimir effect in superconducting microwave
More informationSynthesizing arbitrary photon states in a superconducting resonator
Synthesizing arbitrary photon states in a superconducting resonator Max Hofheinz, Haohua Wang, Markus Ansmann, R. Bialczak, E. Lucero, M. Neeley, A. O Connell, D. Sank, M. Weides, J. Wenner, J.M. Martinis,
More informationDoing Atomic Physics with Electrical Circuits: Strong Coupling Cavity QED
Doing Atomic Physics with Electrical Circuits: Strong Coupling Cavity QED Ren-Shou Huang, Alexandre Blais, Andreas Wallraff, David Schuster, Sameer Kumar, Luigi Frunzio, Hannes Majer, Steven Girvin, Robert
More informationJosephson qubits. P. Bertet. SPEC, CEA Saclay (France), Quantronics group
Josephson qubits P. Bertet SPEC, CEA Saclay (France), Quantronics group Outline Lecture 1: Basics of superconducting qubits Lecture 2: Qubit readout and circuit quantum electrodynamics Lecture 3: 2-qubit
More information2015 AMO Summer School. Quantum Optics with Propagating Microwaves in Superconducting Circuits I. Io-Chun, Hoi
2015 AMO Summer School Quantum Optics with Propagating Microwaves in Superconducting Circuits I Io-Chun, Hoi Outline 1. Introduction to quantum electrical circuits 2. Introduction to superconducting artificial
More informationINTRODUCTION TO SUPERCONDUCTING QUBITS AND QUANTUM EXPERIENCE: A 5-QUBIT QUANTUM PROCESSOR IN THE CLOUD
INTRODUCTION TO SUPERCONDUCTING QUBITS AND QUANTUM EXPERIENCE: A 5-QUBIT QUANTUM PROCESSOR IN THE CLOUD Hanhee Paik IBM Quantum Computing Group IBM T. J. Watson Research Center, Yorktown Heights, NY USA
More informationSuperconducting Qubits Coupling Superconducting Qubits Via a Cavity Bus
Superconducting Qubits Coupling Superconducting Qubits Via a Cavity Bus Leon Stolpmann, Micro- and Nanosystems Efe Büyüközer, Micro- and Nanosystems Outline 1. 2. 3. 4. 5. Introduction Physical system
More informationElectrical Quantum Engineering with Superconducting Circuits
1.0 10 0.8 01 switching probability 0.6 0.4 0.2 00 Electrical Quantum Engineering with Superconducting Circuits R. Heeres & P. Bertet SPEC, CEA Saclay (France), Quantronics group 11 0.0 0 100 200 300 400
More informationNon-linear driving and Entanglement of a quantum bit with a quantum readout
Non-linear driving and Entanglement of a quantum bit with a quantum readout Irinel Chiorescu Delft University of Technology Quantum Transport group Prof. J.E. Mooij Kees Harmans Flux-qubit team visitors
More informationSingle Microwave-Photon Detector based on Superconducting Quantum Circuits
17 th International Workshop on Low Temperature Detectors 19/July/2017 Single Microwave-Photon Detector based on Superconducting Quantum Circuits Kunihiro Inomata Advanced Industrial Science and Technology
More informationQuantum magnonics with a macroscopic ferromagnetic sphere
Quantum magnonics with a macroscopic ferromagnetic sphere Yasunobu Nakamura Superconducting Quantum Electronics Team Center for Emergent Matter Science (CEMS), RIKEN Research Center for Advanced Science
More information10.5 Circuit quantum electrodynamics
AS-Chap. 10-1 10.5 Circuit quantum electrodynamics AS-Chap. 10-2 Analogy to quantum optics Superconducting quantum circuits (SQC) Nonlinear circuits Qubits, multilevel systems Linear circuits Waveguides,
More informationCircuit Quantum Electrodynamics. Mark David Jenkins Martes cúantico, February 25th, 2014
Circuit Quantum Electrodynamics Mark David Jenkins Martes cúantico, February 25th, 2014 Introduction Theory details Strong coupling experiment Cavity quantum electrodynamics for superconducting electrical
More informationSuperconducting quantum bits. Péter Makk
Superconducting quantum bits Péter Makk Qubits Qubit = quantum mechanical two level system DiVincenzo criteria for quantum computation: 1. Register of 2-level systems (qubits), n = 2 N states: eg. 101..01>
More informationSuperconducting Qubits
Superconducting Qubits Fabio Chiarello Institute for Photonics and Nanotechnologies IFN CNR Rome Lego bricks The Josephson s Lego bricks box Josephson junction Phase difference Josephson equations Insulating
More informationRoutes towards quantum information processing with superconducting circuits
Routes towards quantum information processing with superconducting circuits? 0 1 1 0 U 2 1 0? 0 1 U 1 U 1 Daniel Estève Quantronics SPEC CEA Saclay Quantum Mechanics: resources for information processing
More informationExperimental 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 informationCoherent Coupling between 4300 Superconducting Flux Qubits and a Microwave Resonator
: A New Era in Quantum Information Processing Technologies Coherent Coupling between 4300 Superconducting Flux Qubits and a Microwave Resonator Yuichiro Matsuzaki, Kosuke Kakuyanagi, Hiraku Toida, Hiroshi
More informationSupercondcting Qubits
Supercondcting Qubits Patricia Thrasher University of Washington, Seattle, Washington 98195 Superconducting qubits are electrical circuits based on the Josephson tunnel junctions and have the ability to
More informationSuperconducting 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 informationIon 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 informationDriving Qubit Transitions in J-C Hamiltonian
Qubit Control Driving Qubit Transitions in J-C Hamiltonian Hamiltonian for microwave drive Unitary transform with and Results in dispersive approximation up to 2 nd order in g Drive induces Rabi oscillations
More informationLecture 2, March 1, 2018
Lecture 2, March 1, 2018 Last week: Introduction to topics of lecture Algorithms Physical Systems The development of Quantum Information Science Quantum physics perspective Computer science perspective
More informationSuperconducting qubits (Phase qubit) Quantum informatics (FKA 172)
Superconducting qubits (Phase qubit) Quantum informatics (FKA 172) Thilo Bauch (bauch@chalmers.se) Quantum Device Physics Laboratory, MC2, Chalmers University of Technology Qubit proposals for implementing
More informationLet's Build a Quantum Computer!
Let's Build a Quantum Computer! 31C3 29/12/2014 Andreas Dewes Acknowledgements go to "Quantronics Group", CEA Saclay. R. Lauro, Y. Kubo, F. Ong, A. Palacios-Laloy, V. Schmitt PhD Advisors: Denis Vion,
More informationStrong tunable coupling between a charge and a phase qubit
Strong tunable coupling between a charge and a phase qubit Wiebke Guichard Olivier Buisson Frank Hekking Laurent Lévy Bernard Pannetier Aurélien Fay Ioan Pop Florent Lecocq Rapaël Léone Nicolas Didier
More informationJosephson qubits. P. Bertet. SPEC, CEA Saclay (France), Quantronics group
Josephson qubits P. Bertet SPEC, CEA Saclay (France), Quantronics group Outline Lecture 1: Basics of superconducting qubits Lecture 2: Qubit readout and circuit quantum electrodynamics 1) 2) 3) Readout
More informationDipole-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 informationLecture 9 Superconducting qubits Ref: Clarke and Wilhelm, Nature 453, 1031 (2008).
Lecture 9 Superconducting qubits Ref: Clarke and Wilhelm, Nature 453, 1031 (2008). Newcomer in the quantum computation area ( 2000, following experimental demonstration of coherence in charge + flux qubits).
More informationEntanglement Control of Superconducting Qubit Single Photon System
: Quantum omputing Entanglement ontrol of Superconducting Qubit Single Photon System Kouichi Semba Abstract If we could achieve full control of the entangled states of a quantum bit (qubit) interacting
More informationSuperconducting Flux Qubits: The state of the field
Superconducting Flux Qubits: The state of the field S. Gildert Condensed Matter Physics Research (Quantum Devices Group) University of Birmingham, UK Outline A brief introduction to the Superconducting
More informationQuantum Optics with Electrical Circuits: Circuit QED
Quantum Optics with Electrical Circuits: Circuit QED Eperiment Rob Schoelkopf Michel Devoret Andreas Wallraff David Schuster Hannes Majer Luigi Frunzio Andrew Houck Blake Johnson Emily Chan Jared Schwede
More informationnano Josephson junctions Quantum dynamics in
Permanent: Wiebke Guichard Olivier Buisson Frank Hekking Laurent Lévy Cécile Naud Bernard Pannetier Quantum dynamics in nano Josephson junctions CNRS Université Joseph Fourier Institut Néel- LP2MC GRENOBLE
More informationJohn Stewart Bell Prize. Part 1: Michel Devoret, Yale University
John Stewart Bell Prize Part 1: Michel Devoret, Yale University SUPERCONDUCTING ARTIFICIAL ATOMS: FROM TESTS OF QUANTUM MECHANICS TO QUANTUM COMPUTERS Part 2: Robert Schoelkopf, Yale University CIRCUIT
More informationTheory for investigating the dynamical Casimir effect in superconducting circuits
Theory for investigating the dynamical Casimir effect in superconducting circuits Göran Johansson Chalmers University of Technology Gothenburg, Sweden International Workshop on Dynamical Casimir Effect
More informationSynthesizing Arbitrary Photon States in a Superconducting Resonator John Martinis UC Santa Barbara
Synthesizing Arbitrary Photon States in a Superconducting Resonator John Martinis UC Santa Barbara Quantum Integrated Circuits Quantum currents & voltages Microfabricated atoms Digital to Analog Converter
More informationEngineering the quantum probing atoms with light & light with atoms in a transmon circuit QED system
Engineering the quantum probing atoms with light & light with atoms in a transmon circuit QED system Nathan K. Langford OVERVIEW Acknowledgements Ramiro Sagastizabal, Florian Luthi and the rest of the
More informationQuantum computation with superconducting qubits
Quantum computation with superconducting qubits Project for course: Quantum Information Ognjen Malkoc June 10, 2013 1 Introduction 2 Josephson junction 3 Superconducting qubits 4 Circuit and Cavity QED
More informationExploring parasitic Material Defects with superconducting Qubits
Exploring parasitic Material Defects with superconducting Qubits Jürgen Lisenfeld, Alexander Bilmes, Georg Weiss, and A.V. Ustinov Physikalisches Institut, Karlsruhe Institute of Technology, Karlsruhe,
More informationCavity Quantum Electrodynamics with Superconducting Circuits
Cavity Quantum Electrodynamics with Superconducting Circuits Andreas Wallraff (ETH Zurich) www.qudev.ethz.ch M. Baur, R. Bianchetti, S. Filipp, J. Fink, A. Fragner, M. Göppl, P. Leek, P. Maurer, L. Steffen,
More informationQuantum Optics with Electrical Circuits: Strong Coupling Cavity QED
Quantum Optics with Electrical Circuits: Strong Coupling Cavity QED Ren-Shou Huang, Alexandre Blais, Andreas Wallraff, David Schuster, Sameer Kumar, Luigi Frunzio, Hannes Majer, Steven Girvin, Robert Schoelkopf
More informationAmplification, entanglement and storage of microwave radiation using superconducting circuits
Amplification, entanglement and storage of microwave radiation using superconducting circuits Jean-Damien Pillet Philip Kim s group at Columbia University, New York, USA Work done in Quantum Electronics
More informationSupplementary information for Quantum delayed-choice experiment with a beam splitter in a quantum superposition
Supplementary information for Quantum delayed-choice experiment with a beam splitter in a quantum superposition Shi-Biao Zheng 1, You-Peng Zhong 2, Kai Xu 2, Qi-Jue Wang 2, H. Wang 2, Li-Tuo Shen 1, Chui-Ping
More informationEntangled Macroscopic Quantum States in Two Superconducting Qubits
Entangled Macroscopic Quantum States in Two Superconducting Qubits A. J. Berkley,H. Xu, R. C. Ramos, M. A. Gubrud, F. W. Strauch, P. R. Johnson, J. R. Anderson, A. J. Dragt, C. J. Lobb, F. C. Wellstood
More informationMagnetic Resonance at the quantum limit and beyond
Magnetic Resonance at the quantum limit and beyond Audrey BIENFAIT, Sebastian PROBST, Xin ZHOU, Denis VION, Daniel ESTEVE, & Patrice BERTET Quantronics Group, SPEC, CEA-Saclay, France Jarryd J. Pla, Cheuk
More informationControlling the Interaction of Light and Matter...
Control and Measurement of Multiple Qubits in Circuit Quantum Electrodynamics Andreas Wallraff (ETH Zurich) www.qudev.ethz.ch M. Baur, D. Bozyigit, R. Bianchetti, C. Eichler, S. Filipp, J. Fink, T. Frey,
More informationCircuit QED with electrons on helium:
Circuit QED with electrons on helium: What s the sound of one electron clapping? David Schuster Yale (soon to be at U. of Chicago) Yale: Andreas Fragner Rob Schoelkopf Princeton: Steve Lyon Michigan State:
More informationLecture 2, March 2, 2017
Lecture 2, March 2, 2017 Last week: Introduction to topics of lecture Algorithms Physical Systems The development of Quantum Information Science Quantum physics perspective Computer science perspective
More informationSuperconducting Resonators and Their Applications in Quantum Engineering
Superconducting Resonators and Their Applications in Quantum Engineering Nov. 2009 Lin Tian University of California, Merced & KITP Collaborators: Kurt Jacobs (U Mass, Boston) Raymond Simmonds (Boulder)
More informationSUPERCONDUCTING QUANTUM BITS
I0> SUPERCONDUCTING QUANTUM BITS I1> Hans Mooij Summer School on Condensed Matter Theory Windsor, August 18, 2004 quantum computer U quantum bits states l0>, l1> Ψ = αl0> + βl1> input - unitary transformations
More information10.5 Circuit quantum electrodynamics
AS-Chap. 10-1 10.5 Circuit quantum electrodynamics AS-Chap. 10-2 Analogy to quantum optics Superconducting quantum circuits (SQC) Nonlinear circuits Qubits, multilevel systems Linear circuits Waveguides,
More informationParity-Protected Josephson Qubits
Parity-Protected Josephson Qubits Matthew Bell 1,2, Wenyuan Zhang 1, Lev Ioffe 1,3, and Michael Gershenson 1 1 Department of Physics and Astronomy, Rutgers University, New Jersey 2 Department of Electrical
More informationCircuit Quantum Electrodynamics
Circuit Quantum Electrodynamics David Haviland Nanosturcture Physics, Dept. Applied Physics, KTH, Albanova Atom in a Cavity Consider only two levels of atom, with energy separation Atom drifts through
More informationMagnetic Resonance in Quantum Information
Magnetic Resonance in Quantum Information Christian Degen Spin Physics and Imaging group Laboratory for Solid State Physics www.spin.ethz.ch Content Features of (nuclear) magnetic resonance Brief History
More informationQuantum optics and optomechanics
Quantum optics and optomechanics 740nm optomechanical crystals LIGO mirror AMO: Alligator nanophotonic waveguide quantum electro-mechanics Oskar Painter, Jeff Kimble, Keith Schwab, Rana Adhikari, Yanbei
More informationCIRCUIT QUANTUM ELECTRODYNAMICS WITH ELECTRONS ON HELIUM
CIRCUIT QUANTUM ELECTRODYNAMICS WITH ELECTRONS ON HELIUM David Schuster Assistant Professor University of Chicago Chicago Ge Yang Bing Li Michael Geracie Yale Andreas Fragner Rob Schoelkopf Useful cryogenics
More informationLecture 11, May 11, 2017
Lecture 11, May 11, 2017 This week: Atomic Ions for QIP Ion Traps Vibrational modes Preparation of initial states Read-Out Single-Ion Gates Two-Ion Gates Introductory Review Articles: D. Leibfried, R.
More informationLecture 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 informationSuperconducting Qubits. Nathan Kurz PHYS January 2007
Superconducting Qubits Nathan Kurz PHYS 576 19 January 2007 Outline How do we get macroscopic quantum behavior out of a many-electron system? The basic building block the Josephson junction, how do we
More informationSupplementary Information for Controlled catch and release of microwave photon states
Supplementary Information for Controlled catch and release of microwave photon states Yi Yin, 1, Yu Chen, 1 Daniel Sank, 1 P. J. J. O Malley, 1 T. C. White, 1 R. Barends, 1 J. Kelly, 1 Erik Lucero, 1 Matteo
More informationMetastable states in an RF driven Josephson oscillator
Metastable states in an RF driven Josephson oscillator R. VIJAYARAGHAVAN Daniel Prober Robert Schoelkopf Steve Girvin Department of Applied Physics Yale University 3-16-2006 APS March Meeting I. Siddiqi
More informationRoom-Temperature Quantum Sensing in CMOS: On-Chip Detection of Electronic Spin States in Diamond Color Centers for Magnetometry
Room-Temperature Quantum Sensing in CMOS: On-Chip Detection of Electronic Spin States in Diamond Color Centers for Magnetometry Mohamed I. Ibrahim*, Christopher Foy*, Donggyu Kim*, Dirk R. Englund, and
More informationNuclear spins in semiconductor quantum dots. Alexander Tartakovskii University of Sheffield, UK
Nuclear spins in semiconductor quantum dots Alexander Tartakovskii University of Sheffield, UK Electron and nuclear spin systems in a quantum dot Confined electron and hole in a dot 5 nm Electron/hole
More informationIntroduction to Quantum Mechanics of Superconducting Electrical Circuits
Introduction to Quantum Mechanics of Superconducting lectrical Circuits What is superconductivity? What is a osephson junction? What is a Cooper Pair Box Qubit? Quantum Modes of Superconducting Transmission
More informationRemote entanglement of transmon qubits
Remote entanglement of transmon qubits 3 Michael Hatridge Department of Applied Physics, Yale University Katrina Sliwa Anirudh Narla Shyam Shankar Zaki Leghtas Mazyar Mirrahimi Evan Zalys-Geller Chen Wang
More informationQuantum computation and quantum optics with circuit QED
Departments of Physics and Applied Physics, Yale University Quantum computation and quantum optics with circuit QED Jens Koch filling in for Steven M. Girvin Quick outline Superconducting qubits overview
More informationMagnetic Resonance in Quantum
Magnetic Resonance in Quantum Information Christian Degen Spin Physics and Imaging group Laboratory for Solid State Physics www.spin.ethz.ch Content Features of (nuclear) magnetic resonance Brief History
More informationDispersive Readout, Rabi- and Ramsey-Measurements for Superconducting Qubits
Dispersive Readout, Rabi- and Ramsey-Measurements for Superconducting Qubits QIP II (FS 2018) Student presentation by Can Knaut Can Knaut 12.03.2018 1 Agenda I. Cavity Quantum Electrodynamics and the Jaynes
More informationLecture 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 informationElectrical quantum engineering with superconducting circuits
1.0 10 0.8 01 switching probability 0.6 0.4 0.2 00 P. Bertet & R. Heeres SPEC, CEA Saclay (France), Quantronics group 11 0.0 0 100 200 300 400 swap duration (ns) Electrical quantum engineering with superconducting
More informationQuantum 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 informationDemonstration of conditional gate operation using superconducting charge qubits
Demonstration of conditional gate operation using superconducting charge qubits T. Yamamoto, Yu. A. Pashkin, * O. Astafiev, Y. Nakamura, & J. S. Tsai NEC Fundamental Research Laboratories, Tsukuba, Ibaraki
More informationSuperconducting Circuits and Quantum Information
Superconducting Circuits and Quantum Information Superconducting circuits can behave like atoms making transitions between two levels. Such circuits can test quantum mechanics at macroscopic scales and
More informationSuperconducting quantum circuit research -building blocks for quantum matter- status update from the Karlsruhe lab
Superconducting quantum circuit research -building blocks for quantum matter- status update from the Karlsruhe lab Martin Weides, Karlsruhe Institute of Technology July 2 nd, 2014 100 mm Basic potentials
More informationHyperfine Interaction Estimation of Nitrogen Vacancy Center in Diamond
Hyperfine Interaction Estimation of Nitrogen Vacancy Center in Diamond Yutaka Shikano Massachusetts Institute of Technology Tokyo Institute of Technology In collaboration with Shu Tanaka (Kinki University,
More informationSuperconducting phase qubits
Quantum Inf Process (2009) 8:81 103 DOI 10.1007/s11128-009-0105-1 Superconducting phase qubits John M. Martinis Published online: 18 February 2009 The Author(s) 2009. This article is published with open
More informationMatter wave interferometry beyond classical limits
Max-Planck-Institut für Quantenoptik Varenna school on Atom Interferometry, 15.07.2013-20.07.2013 The Plan Lecture 1 (Wednesday): Quantum noise in interferometry and Spin Squeezing Lecture 2 (Friday):
More informationFrom SQUID to Qubit Flux 1/f Noise: The Saga Continues
From SQUID to Qubit Flux 1/f Noise: The Saga Continues Fei Yan, S. Gustavsson, A. Kamal, T. P. Orlando Massachusetts Institute of Technology, Cambridge, MA T. Gudmundsen, David Hover, A. Sears, J.L. Yoder,
More informationCondensed Matter Without Matter Quantum Simulation with Photons
Condensed Matter Without Matter Quantum Simulation with Photons Andrew Houck Princeton University Work supported by Packard Foundation, NSF, DARPA, ARO, IARPA Condensed Matter Without Matter Princeton
More informationQuantum Optics with Propagating Microwaves in Superconducting Circuits. Io-Chun Hoi 許耀銓
Quantum Optics with Propagating Microwaves in Superconducting Circuits 許耀銓 Outline Motivation: Quantum network Introduction to superconducting circuits Quantum nodes The single-photon router The cross-kerr
More informationSynthesising arbitrary quantum states in a superconducting resonator
Synthesising arbitrary quantum states in a superconducting resonator Max Hofheinz 1, H. Wang 1, M. Ansmann 1, Radoslaw C. Bialczak 1, Erik Lucero 1, M. Neeley 1, A. D. O Connell 1, D. Sank 1, J. Wenner
More informationTowards quantum simulator based on nuclear spins at room temperature
Towards quantum simulator based on nuclear spins at room temperature B. Naydenov and F. Jelezko C. Müller, Xi Kong, T. Unden, L. McGuinness J.-M. Cai and M.B. Plenio Institute of Theoretical Physics, Uni
More informationCavity Quantum Electrodynamics (QED): Coupling a Harmonic Oscillator to a Qubit
Cavity Quantum Electrodynamics (QED): Coupling a Harmonic Oscillator to a Qubit Cavity QED with Superconducting Circuits coherent quantum mechanics with individual photons and qubits...... basic approach:
More informationarxiv: v1 [quant-ph] 18 May 2016
Collective Strong Coupling with Homogeneous Rabi Frequencies using a 3D Lumped Element Microwave Resonator Andreas Angerer, 1, a) Thomas Astner, 1 Daniel Wirtitsch, 1 Hitoshi Sumiya, 2 Shinobu Onoda, 3
More informationarxiv:cond-mat/ v1 [cond-mat.mes-hall] 27 Feb 2007
Generating Single Microwave Photons in a Circuit arxiv:cond-mat/0702648v1 [cond-mat.mes-hall] 27 Feb 2007 A. A. Houck, 1 D. I. Schuster, 1 J. M. Gambetta, 1 J. A. Schreier, 1 B. R. Johnson, 1 J. M. Chow,
More informationIntroduction to Circuit QED
Introduction to Circuit QED Michael Goerz ARL Quantum Seminar November 10, 2015 Michael Goerz Intro to cqed 1 / 20 Jaynes-Cummings model g κ γ [from Schuster. Phd Thesis. Yale (2007)] Jaynes-Cumming Hamiltonian
More informationPhotoelectric readout of electron spin qubits in diamond at room temperature
Photoelectric readout of electron spin qubits in diamond at room temperature. Bourgeois,, M. Gulka, J. Hruby, M. Nesladek, Institute for Materials Research (IMO), Hasselt University, Belgium IMOMC division,
More informationTunable Resonators for Quantum Circuits
J Low Temp Phys (2008) 151: 1034 1042 DOI 10.1007/s10909-008-9774-x Tunable Resonators for Quantum Circuits A. Palacios-Laloy F. Nguyen F. Mallet P. Bertet D. Vion D. Esteve Received: 26 November 2007
More informationOptically-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 informationExperimental Demonstration of Spinor Slow Light
Experimental Demonstration of Spinor Slow Light Ite A. Yu Department of Physics Frontier Research Center on Fundamental & Applied Sciences of Matters National Tsing Hua University Taiwan Motivation Quantum
More informationSUPPLEMENTARY INFORMATION
Superconducting qubit oscillator circuit beyond the ultrastrong-coupling regime S1. FLUX BIAS DEPENDENCE OF THE COUPLER S CRITICAL CURRENT The circuit diagram of the coupler in circuit I is shown as the
More informationCircuit-QED-enhanced magnetic resonance
Circuit-QED-enhanced magnetic resonance P. Bertet, Quantronics Group, CEA Saclay CEA Saclay S. Probst A. Bienfait V. Ranjan B. Albanese J.F. DaSilva-Barbosa D. Vion D. Esteve R. Heeres PB UCL London J.J.
More informationSUPERCONDUCTING QUBITS
SUPERCONDUCTING QUBITS Theory Collaborators Prof. A. Blais (UdS) Prof. A. Clerk (McGill) Prof. L. Friedland (HUJI) Prof. A.N. Korotkov (UCR) Prof. S.M. Girvin (Yale) Prof. L. Glazman (Yale) Prof. A. Jordan
More informationInteraction between surface acoustic waves and a transmon qubit
Interaction between surface acoustic waves and a transmon qubit Ø Introduction Ø Artificial atoms Ø Surface acoustic waves Ø Interaction with a qubit on GaAs Ø Nonlinear phonon reflection Ø Listening to
More informationExploring 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 informationTheoretical design of a readout system for the Flux Qubit-Resonator Rabi Model in the ultrastrong coupling regime
Theoretical design of a readout system for the Flux Qubit-Resonator Rabi Model in the ultrastrong coupling regime Ceren Burçak Dağ Supervisors: Dr. Pol Forn-Díaz and Assoc. Prof. Christopher Wilson Institute
More informationMetallic magnetic calorimeters. Andreas Fleischmann Heidelberg University
Metallic magnetic calorimeters Andreas Fleischmann Heidelberg University metallic magnetic calorimeters paramagnetic sensor: Au:Er 300ppm, Ag:Er 300ppm M detector signal: T main differences to calorimeters
More informationTopologicaly protected abelian Josephson qubits: theory and experiment.
Topologicaly protected abelian Josephson qubits: theory and experiment. B. Doucot (Jussieu) M.V. Feigelman (Landau) L. Ioffe (Rutgers) M. Gershenson (Rutgers) Plan Honest (pessimistic) review of the state
More information