A central problem in cryptography: the key distribution problem.
|
|
- Melanie Ryan
- 5 years ago
- Views:
Transcription
1 Scientific American 314, (2016) A central problem in cryptography: the key distribution problem. Mathematics solution: public key cryptography. Public-key cryptography relies on the computational difficulty of certain hard mathematical problems (for example factoring) Security problems with public key cryptography: (1) The is no proof that there is no easy solution to factoring: somebody can come up with new much quicker algorithm! (2) Quantum computer, if build, can break public key encryption fast quantum algorithm is already knows (Shor s algorithm) 1
2 Another solution to the key distribution problem: Quantum key distribution Use quantum communication channel: physical system capable delivering quantum systems more or less intact from one place to another. What is this quantum system? Photons! Why is this secure: Quantum mechanics: quantum bits cannot be copied or monitored. Any attempt to do so will result in altering it that can not be corrected. How to use photons as qubits? Use polarization of photons to encode 0 and 1. Electromagnetic waves A "vertically polarized" electromagnetic wave of wavelength λ has its electric field vector E (red) oscillating in the vertical direction. The magnetic field B (or H) is always at right angles to it (blue), and both are perpendicular to the direction of propagation (z)
3 Quantum key distribution 3
4 Scientific American 314, (2016) Scientific American 314, (2016) 4
5 Quantum key distribution Scientific American 314, (2016) Scientific American 292, 78 (2005) 5
6 Scientific American 292, 78 (2005) Entanglement-based Quantum Key Distribution set-up connecting the two Canary Islands La Palma and Tenerife. The optical link is 144 km long. OGS, optical ground station; GPS, Global Positioning System; PBS, polarizing beamsplitter; BS, beamsplitter; HWP, half-wave plate. Ursin, R. et al. Nature Phys. 3, (2007). 6
7 Problems with quantum key distribution Qubits can not be copied we can not amplify the signal or retransmit information as in the classical case. If you can not copy teleport! 7
8 Quantum teleportation What is it? Technique for moving quantum states around, even in an absence of quantum communication channel. The problem: Alice must deliver qubit to Bob She does not know the state of the qubit She can use only classical channels 8
9 9
10 Quantum repeater is essentially a small quantum computer! Quantum internet? Quantum repeater is essentially a small quantum computer So need to be able to implement small-scale quantum computing for quantum communications too!
11 What do we need to build a quantum computer? The DiVincenzo criteria Qubits which retain their properties. Scalable array of qubits. Initialization: ability to prepare one certain state repeatedly on demand. Need continuous supply of 0. Universal set of quantum gates. A system in which qubits can be made to evolve as desired. Long relevant decoherence times. Ability to efficiently read out the result. Interconvert stationary and flying qubits Transmit flying qubits between distant locations What do we need to build a quantum computer? Need to precisely control quantum systems 11
12 Quantum Computer (Innsbruck) P 1/2 D 5/2 quantum bit S 1/2 Courtesy of the R. Blatt s Innsbruck group Qubits with trapped ions Encoding of quantum information requires long-lived atomic states: optical transitions Ca +, Sr +, Ba +, Ra +, Yb +, Hg + etc. microwave transitions 9 Be +, 25 Mg +, 43 Ca +, 87 Sr +, 137 Ba +, 111 Cd +, 171 Yb + P 1/2 D 5/2 P 3/2 S 1/2 qubit S 1/2 qubit 12
13 String of Ca + ions in linear Paul trap Row of qubits in a linear Paul trap forms a quantum register ω z ω x, y MHz MHz 50 µm 13
14 Linear crystal of 20 confined atomic 171 Yb+ ions laser cooled to be nearly at rest C. Monroe, and J. Kim Science 2013;339:
15 Quantum Control: measuring and manipulation of individual quantum systems 2012 Nobel prize David Wineland Picture of a string of ions Ca + 3d 5/2 Serge Haroche nobel.org Making quantum superposition of two ions Scaling up: Concept of a quantum CCD trap Image credit: National Institute of Standards and Technology C. Monroe, and J. Kim Science 2013;339:
16 Scaling up: Modular distributed quantum computer Several elementary logic units (ELU)s are connected through a photonic network by using an optical crossconnect switch, inline fiber beamsplitters, and a photon-counting imager. C. Monroe, and J. Kim Science 2013;339:
Quantum information processing with trapped ions
Quantum information processing with trapped ions Courtesy of Timo Koerber Institut für Experimentalphysik Universität Innsbruck 1. Basic experimental techniques 2. Two-particle entanglement 3. Multi-particle
More informationQuantum 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 informationThe Nobel Prize in Physics 2012
The Nobel Prize in Physics 2012 Serge Haroche Collège de France and École Normale Supérieure, Paris, France David J. Wineland National Institute of Standards and Technology (NIST) and University of Colorado
More informationQuantum 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 informationSecrets 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 informationQuantum 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 informationQUANTUM 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 informationQuantum computation with trapped ions
Abstract Since the first preparation of a single trapped, laser-cooled ion by Neuhauser et el. in 198, a continuously increasing degree of control over the of single ions has been achieved, such that what
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 informationCMSC 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 informationQuantum 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 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 informationphys4.20 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 informationQuantum Information Processing
Quantum Information Processing Jonathan Jones http://nmr.physics.ox.ac.uk/teaching The Information Age Communication Shannon Computation Turing Current approaches are essentially classical which is wrong
More informationQuantum Computer Architecture
Quantum Computer Architecture Scalable and Reliable Quantum Computers Greg Byrd (ECE) CSC 801 - Feb 13, 2018 Overview 1 Sources 2 Key Concepts Quantum Computer 3 Outline 4 Ion Trap Operation The ion can
More informationQuantum Optics and Quantum Informatics 7.5hp (FKA173) Introductory Lecture
Quantum Optics and Quantum Informatics 7.5hp (FKA173) Introductory Lecture Fasrummet (A820) 09:00 Oct. 31-2017 Lectures: Jonas Bylander (jonas.bylander@chalmers.se) and Thilo Bauch (bauch@chalmers.se)
More informationLogic gates. Quantum logic gates. α β 0 1 X = 1 0. Quantum NOT gate (X gate) Classical NOT gate NOT A. Matrix form representation
Quantum logic gates Logic gates Classical NOT gate Quantum NOT gate (X gate) A NOT A α 0 + β 1 X α 1 + β 0 A N O T A 0 1 1 0 Matrix form representation 0 1 X = 1 0 The only non-trivial single bit gate
More informationQuantum 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 informationWhich technology? Quantum processor. Cavity QED NMR. Superconducting qubits Quantum dots. Trapped atoms/ions. A. Ekert
Which technology? 000 001 010 011 Quantum processor 100 011 110 011 Cavity QED NMR Superconducting qubits Quantum dots Trapped atoms/ions A. Ekert Which technology? 000 001 010 011 Quantum processor 100
More informationQuantum Optics. Manipulation of «simple» quantum systems
Quantum Optics Manipulation of «simple» quantum systems Antoine Browaeys Institut d Optique, Palaiseau, France Quantum optics = interaction atom + quantum field e g ~ 1960: R. Glauber (P. Nobel. 2005),
More information«Demonstration of a small programmable quantum computer with atomic qubits» Philip Rhyner, Colin Kälin
«Demonstration of a small programmable quantum computer» Philip Rhyner, Colin Kälin 14.05.2018 Introduction PART 1: Trapped ion quantum computers Ion trap States, Initialization and Measurement One- and
More informationQuantum 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 informationPhysics is becoming too difficult for physicists. David Hilbert (mathematician)
Physics is becoming too difficult for physicists. David Hilbert (mathematician) Simple Harmonic Oscillator Credit: R. Nave (HyperPhysics) Particle 2 X 2-Particle wave functions 2 Particles, each moving
More informationQuantum Teleportation Pt. 1
Quantum Teleportation Pt. 1 PHYS 500 - Southern Illinois University April 17, 2018 PHYS 500 - Southern Illinois University Quantum Teleportation Pt. 1 April 17, 2018 1 / 13 Types of Communication In the
More informationHacking Quantum Cryptography. Marina von Steinkirch ~ Yelp Security
Hacking Quantum Cryptography Marina von Steinkirch ~ Yelp Security Agenda 1. Quantum Mechanics in 10 mins 2. Quantum Computing in 11 mins 3. Quantum Key Exchange in 100 mins (or more minutes) Some disclaimers
More informationION TRAPS STATE OF THE ART QUANTUM GATES
ION TRAPS STATE OF THE ART QUANTUM GATES Silvio Marx & Tristan Petit ION TRAPS STATE OF THE ART QUANTUM GATES I. Fault-tolerant computing & the Mølmer- Sørensen gate with ion traps II. Quantum Toffoli
More informationEntanglement. arnoldzwicky.org. Presented by: Joseph Chapman. Created by: Gina Lorenz with adapted PHYS403 content from Paul Kwiat, Brad Christensen
Entanglement arnoldzwicky.org Presented by: Joseph Chapman. Created by: Gina Lorenz with adapted PHYS403 content from Paul Kwiat, Brad Christensen PHYS403, July 26, 2017 Entanglement A quantum object can
More informationIon 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 informationQuantum information processing using linear optics
Quantum information processing using linear optics Karel Lemr Joint Laboratory of Optics of Palacký University and Institute of Physics of Academy of Sciences of the Czech Republic web: http://jointlab.upol.cz/lemr
More informationFuture of Quantum Science and Technology
Future of Quantum Science and Technology Serge Haroche S.H &D.Wineland, 2012 Nobel in Physics Quantum theory has opened to us the microscopic world of particles, atoms and photons.and has given us the
More informationMotion 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 informationQuantum Information NV Centers in Diamond General Introduction. Zlatko Minev & Nate Earnest April 2011
Quantum Information NV Centers in Diamond General Introduction Zlatko Minev & Nate Earnest April 2011 QIP & QM & NVD Outline Interest in Qubits. Why? Quantum Information Motivation Qubit vs Bit Sqrt(Not)
More informationWhy Quantum Technologies?
Why Quantum Technologies? Serge Haroche Quantum Europe 2017 Malta, February 17 th 2017 Quantum theory has opened to us the microscopic world of particles, atoms and photons.and has given us the keys of
More informationQuantum Information Transfer and Processing Miloslav Dušek
Quantum Information Transfer and Processing Miloslav Dušek Department of Optics, Faculty of Science Palacký University, Olomouc Quantum theory Quantum theory At the beginning of 20 th century about the
More informationIBM Systems for Cognitive Solutions
IBM Q Quantum Computing IBM Systems for Cognitive Solutions Ehningen 12 th of July 2017 Albert Frisch, PhD - albert.frisch@de.ibm.com 2017 IBM 1 st wave of Quantum Revolution lasers atomic clocks GPS sensors
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 informationQuantum computing hardware
Quantum computing hardware aka Experimental Aspects of Quantum Computation PHYS 576 Class format 1 st hour: introduction by BB 2 nd and 3 rd hour: two student presentations, about 40 minutes each followed
More informationLabs 3-4: Single-photon Source
Labs 3-4: Single-photon Source Lab. 3. Confocal fluorescence microscopy of single-emitter Lab. 4. Hanbury Brown and Twiss setup. Fluorescence antibunching 1 Labs 3-4: Single-photon Source Efficiently produces
More informationTowards Quantum Computation with Trapped Ions
Towards Quantum Computation with Trapped Ions Ion traps for quantum computation Ion motion in linear traps Nonclassical states of motion, decoherence times Addressing individual ions Sideband cooling of
More informationWhat is a quantum computer? Quantum Architecture. Quantum Mechanics. Quantum Superposition. Quantum Entanglement. What is a Quantum Computer (contd.
What is a quantum computer? Quantum Architecture by Murat Birben A quantum computer is a device designed to take advantage of distincly quantum phenomena in carrying out a computational task. A quantum
More informationIBM quantum experience: Experimental implementations, scope, and limitations
IBM quantum experience: Experimental implementations, scope, and limitations Plan of the talk IBM Quantum Experience Introduction IBM GUI Building blocks for IBM quantum computing Implementations of various
More informationC. QUANTUM INFORMATION 111
C. QUANTUM INFORMATION 111 C Quantum information C.1 Qubits C.1.a Single qubits 1. Qubit: Just as the bits 0 and 1 are represented by distinct physical states, so the quantum bits (or qubits) 0i and 1i
More informationQuantum Cryptography. Marshall Roth March 9, 2007
Quantum Cryptography Marshall Roth March 9, 2007 Overview Current Cryptography Methods Quantum Solutions Quantum Cryptography Commercial Implementation Cryptography algorithms: Symmetric encrypting and
More information10 - February, 2010 Jordan Myronuk
10 - February, 2010 Jordan Myronuk Classical Cryptography EPR Paradox] The need for QKD Quantum Bits and Entanglement No Cloning Theorem Polarization of Photons BB84 Protocol Probability of Qubit States
More informationquantum mechanics is a hugely successful theory... QSIT08.V01 Page 1
1.0 Introduction to Quantum Systems for Information Technology 1.1 Motivation What is quantum mechanics good for? traditional historical perspective: beginning of 20th century: classical physics fails
More informationEntanglement and Transfer of of Quantum Information with Trapped Ca + Ions
Entanglement and Transfer of of Quantum Information with Trapped Ca + Ions Rainer Blatt Institut für Experimentalphysik, Universität Innsbruck, Institut für Quantenoptik und Quanteninformation, Österreichische
More informationEntanglement. Michelle Victora Advisor: Paul G. Kwiat. Physics 403 talk: March 13, 2017
Entanglement Michelle Victora Advisor: Paul G. Kwiat Physics 403 talk: March 13, 2017 Introduction to entanglement Making entanglement in the lab Applications Quantum states describing more than one system
More information1.0 Introduction to Quantum Systems for Information Technology 1.1 Motivation
QSIT09.V01 Page 1 1.0 Introduction to Quantum Systems for Information Technology 1.1 Motivation What is quantum mechanics good for? traditional historical perspective: beginning of 20th century: classical
More information+ = OTP + QKD = QC. ψ = a. OTP One-Time Pad QKD Quantum Key Distribution QC Quantum Cryptography. θ = 135 o state 1
Quantum Cryptography Quantum Cryptography Presented by: Shubhra Mittal Instructor: Dr. Stefan Robila Intranet & Internet Security (CMPT-585-) Fall 28 Montclair State University, New Jersey Introduction
More informationQuantum Logic Spectroscopy and Precision Measurements
Quantum Logic Spectroscopy and Precision Measurements Piet O. Schmidt PTB Braunschweig and Leibniz Universität Hannover Bad Honnef, 4. November 2009 Overview What is Quantum Metrology? Quantum Logic with
More informationCooling Using the Stark Shift Gate
Imperial College London Cooling Using the Stark Shift Gate M.B. Plenio (Imperial) A. Retzker (Imperial) Maria Laach 7/3/007 Department of Physics and Institute for Mathematical Sciences Imperial College
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 informationP 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 informationSummary. The prospect of a factoring. Consumer key generation. Future long range key. Commercial systems. Metro Networks. exchange. machine. Spin-off.
The future of quantum cryptography BCS Meeting 17th Sept 2009 J. G. Rarity University of Bristol john.rarity@bristol.ac.uk Summary Commercial systems. Metro Networks. Future long range key exchange. Consumer
More informationRydberg excited Calcium Ions for quantum interactions
Warsaw 08.03.2012 Rydberg excited Calcium Ions for quantum interactions Innsbruck Mainz Nottingham Igor Lesanovsky Outline 1. The R-ION consortium Who are we? 2. Physics Goals What State are of we the
More informationAn 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 informationQuantum information. Vlatko Vedral INSTANT
Quantum information Vlatko Vedral INSTANT EXPERT 33 Quantum economy In recent decades, we have done very well in cramming ever more transistors into classical computer chips. But the density of heat generated
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 informationSecurity Implications of Quantum Technologies
Security Implications of Quantum Technologies Jim Alves-Foss Center for Secure and Dependable Software Department of Computer Science University of Idaho Moscow, ID 83844-1010 email: jimaf@cs.uidaho.edu
More informationQuantum Memory in Atomic Ensembles BY GEORG BRAUNBECK
Quantum Memory in Atomic Ensembles BY GEORG BRAUNBECK Table of contents 1. Motivation 2. Quantum memory 3. Implementations in general 4. Implementation based on EIT in detail QUBIT STORAGE IN ATOMIC ENSEMBLES
More informationIntroduction to Quantum Computing
Introduction to Quantum Computing Petros Wallden Lecture 1: Introduction 18th September 2017 School of Informatics, University of Edinburgh Resources 1. Quantum Computation and Quantum Information by Michael
More informationC. QUANTUM INFORMATION 99
C. QUANTUM INFORMATION 99 C Quantum information C.1 Qubits C.1.a Single qubits Just as the bits 0 and 1 are represented by distinct physical states in a conventional computer, so the quantum bits (or qubits)
More informationQuantum Communication. Serge Massar Université Libre de Bruxelles
Quantum Communication Serge Massar Université Libre de Bruxelles Plan Why Quantum Communication? Prepare and Measure schemes QKD Using Entanglement Teleportation Communication Complexity And now what?
More informationShort 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 informationQuantum computing. Jan Černý, FIT, Czech Technical University in Prague. České vysoké učení technické v Praze. Fakulta informačních technologií
České vysoké učení technické v Praze Fakulta informačních technologií Katedra teoretické informatiky Evropský sociální fond Praha & EU: Investujeme do vaší budoucnosti MI-MVI Methods of Computational Intelligence(2010/2011)
More informationChapter 13: Photons for quantum information. Quantum only tasks. Teleportation. Superdense coding. Quantum key distribution
Chapter 13: Photons for quantum information Quantum only tasks Teleportation Superdense coding Quantum key distribution Quantum teleportation (Theory: Bennett et al. 1993; Experiments: many, by now) Teleportation
More informationTutorial on Quantum Computing. Vwani P. Roychowdhury. Lecture 1: Introduction
Tutorial on Quantum Computing Vwani P. Roychowdhury Lecture 1: Introduction 1 & ) &! # Fundamentals Qubits A single qubit is a two state system, such as a two level atom we denote two orthogonal states
More informationQUANTUM ENTANGLEMENT AND ITS ASPECTS. Dileep Dhakal Masters of Science in Nanomolecular Sciences
QUANTUM ENTANGLEMENT AND ITS ASPECTS Dileep Dhakal Masters of Science in Nanomolecular Sciences Jacobs University Bremen 26 th Nov 2010 Table of Contents: Quantum Superposition Schrödinger s Cat Pure vs.
More informationQuantum communications
06.0.05 Quantum communications Quantum teleportation Trapping of single atoms Atom-photon entanglement Entanglement of remote single atoms Elementary quantum network Telecommunication today Secure communication
More informationGenerating Single Photons on Demand
Vladan Vuletic Generating Single Photons on Demand I n optical signal transmission, binary signals are encoded in pulses of light traveling along optical fibers. An undesirable consequence is that if somebody
More informationSingle qubit + CNOT gates
Lecture 6 Universal quantum gates Single qubit + CNOT gates Single qubit and CNOT gates together can be used to implement an arbitrary twolevel unitary operation on the state space of n qubits. Suppose
More informationPlaying Games with Quantum Information: Experiments with Photons and Laser-Cooled Atoms
Playing Games with Quantum Information: Experiments with Photons and Laser-Cooled Atoms Interns: Grad Students: Postdocs: Supervisor: Jeff Lundeen Univ. of Toronto Dept. of Physics CAP 2003 Rockson Chang,
More informationJian-Wei Pan
Lecture Note 6 11.06.2008 open system dynamics 0 E 0 U ( t) ( t) 0 E ( t) E U 1 E ( t) 1 1 System Environment U() t ( ) 0 + 1 E 0 E ( t) + 1 E ( t) 0 1 0 0 1 1 2 * 0 01 E1 E0 q() t = TrEq+ E = * 2 1 0
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 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 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 informationQuantum Key Distribution and the Future of Encryption
Quantum Key Distribution and the Future of Encryption Konstantinos Karagiannis Global Technical Lead, Ethical Hacking BT Security Amsterdam, October 16 th, 2014 Understanding QM? I think I can safely say
More informationThe Relativistic Quantum World
The Relativistic Quantum World A lecture series on Relativity Theory and Quantum Mechanics Marcel Merk University of Maastricht, Sept 24 Oct 15, 2014 Relativity Quantum Mechanics The Relativistic Quantum
More informationQuantum information processing with trapped atoms
Quantum information processing with trapped atoms Introduction Fundamentals: ion iontraps, quantum bits, bits, quantum gates Implementations: 2-qubit gates, teleportation, More recent, more advanced, Jürgen
More informationCryptography CS 555. Topic 25: Quantum Crpytography. CS555 Topic 25 1
Cryptography CS 555 Topic 25: Quantum Crpytography CS555 Topic 25 1 Outline and Readings Outline: What is Identity Based Encryption Quantum cryptography Readings: CS555 Topic 25 2 Identity Based Encryption
More informationQuantum information processing with trapped ions
Quantum information processing with trapped ions Dietrich Leibfried Time and Frequency Division National Institute of Standards and Technology Boulder, CO USA The remaining QIP challenge DiVincenzo requirements:
More informationPhysical implementations of quantum computing
Physical implementations of quantum computing Andrew Daley Department of Physics and Astronomy University of Pittsburgh Overview Introduction DiVincenzo Criteria Characterising coherence times Survey of
More informationThe Three Upcoming Revolutions in Physics and Astronomy that will Affect Everyone. Quantum Information Nov. 12, 2002
The Three Upcoming Revolutions in Physics and Astronomy that will Affect Everyone Quantum Information Nov. 12, 2002 The History of Secrecy Enemy of the State You re being watched Big Brother You are captured
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 informationEXPERIMENTAL DEMONSTRATION OF QUANTUM KEY
EXPERIMENTAL DEMONSTRATION OF QUANTUM KEY DISTRIBUTION WITH ENTANGLED PHOTONS FOLLOWING THE PING- PONG CODING PROTOCOL Martin Ostermeyer, Nino Walenta University of Potsdam, Institute of Physics, Nonlinear
More informationTrapped ion quantum control. Jonathan Home IDEAS league school,
Trapped ion quantum control Jonathan Home www.tiqi.ethz.ch IDEAS league school, 11.09.2015 Lectures Ken Brown, IDEAS League school, Sweden 1) Basics (review). Measurement, Preparation, Coherent control
More informationQuantum technology popular science description
Quantum technology popular science description 1 Quantum physics, from theory to ongoing revolution In the early 1900s observations were made that were not consistent with traditional, classical physics.
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 informationexample: e.g. electron spin in a field: on the Bloch sphere: this is a rotation around the equator with Larmor precession frequency ω
Dynamics of a Quantum System: QM postulate: The time evolution of a state ψ> of a closed quantum system is described by the Schrödinger equation where H is the hermitian operator known as the Hamiltonian
More informationPractical realization of Quantum Computation
Practical realization of Quantum Computation Cavity QED http://www.quantumoptics.ethz.ch/ http://courses.washington.edu/ bbbteach/576/ http://www2.nict.go.jp/ http://www.wmi.badw.de/sfb631/tps/dipoletrap_and_cavity.jpg
More informationEnigma Marian Rejewski, Jerzy Róz ycki, Henryk Zygalski
1 Enigma Marian Rejewski, Jerzy Róz ycki, Henryk Zygalski What is the problem with classical cryptography? Secret key cryptography Requires secure channel for key distribution In principle every
More information2.0 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*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 informationThe trapped-ion qubit tool box. Roee Ozeri
The trapped-ion qubit tool box Contemporary Physics, 5, 531-550 (011) Roee Ozeri Weizmann Institute of Science Rehovot, 76100, Israel ozeri@weizmann.ac.il Physical Implementation of a quantum computer
More informationToward the Generation of Bell Certified Randomness Using Photons
Toward the Generation of Bell Certified Randomness Using Photons Alessandro Cerè, Siddarth Koduru Josh, Chen Ming Chia, Jean-Daniel Bancal, Lana Sheridan, Valerio Scarani, Christian Kurtsiefer Quantum
More informationQuantum sampling of mixed states
Quantum sampling of mixed states Philippe Lamontagne January 7th Philippe Lamontagne Quantum sampling of mixed states January 7th 1 / 9 The setup Philippe Lamontagne Quantum sampling of mixed states January
More informationPromise of Quantum Computation
Quantum Computation, and Epilog: The Future of Computing 1 Promise of Quantum Computation Classical computers have their limitations: Factoring large numbers takes exponential time. No faster algorithm
More informationTeleporting an Unknown Quantum State Via Dual Classical and Einstein Podolsky Rosen Channels 1
Teleporting an Unknown Quantum State Via Dual Classical and Einstein Podolsky Rosen Channels Charles H. Bennet, Gilles Brassard, Claude Crépeau, Richard Jozsa, Asher Peres, and William K. Wootters Team
More informationQuantum 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 informationFunctional quantum nodes for entanglement distribution
61 Chapter 4 Functional quantum nodes for entanglement distribution This chapter is largely based on ref. 36. Reference 36 refers to the then current literature in 2007 at the time of publication. 4.1
More information