Holdings: Fundamentals of quantum information

Fundamentals of quantum information: quantum computation, communication, decoherence and all that

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Bibliographic Details
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2002
Series:	Lecture notes in physics 587
Subjects:	Quanteninformatik Quantentheorie Quantum computers Quantum theory Information Quantencomputer Konferenzschrift
Online Access:	Inhaltsverzeichnis
Physical Description:	XIII, 265 s. Ill., graph. Darst.
ISBN:	3540433678

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adam_text	DIETER HEISS (ED.) FUNDAMENTALS OF QUANTUM INFORMATION QUANTUM COMPUTATION, COMMUNICATION, DECOHERENCE AND ALL THAT SPRINGER TABLE OF CONTENTS A GUIDE FOR THE READER 1 QUBITS, CBITS, DECOHERENCE, QUANTUM MEASUREMENT AND ENVIRONMENT A. J. LEGGETT 3 1 LECTURE 1 - A SINGLE QUBIT: BASIC NOTIONS 3 2 LECTURE 2 - DISTINGUISHING QUBITS FROM CBITS: MULTI-QUBIT SYSTEMS AND QUANTUM COMPUTATION 10 3 LECTURE 3 - THE FUNDAMENTAL THEOREM OF DECOHERENCE: ISOLATED SYSTEMS 16 4 LECTURE 4 - CANDIDATE SYSTEMS FOR QUBITS: PRELIMINARY ESTIMATE OF DECOHERENCE TIMES 22 5 LECTURE 5 - THE ENVIRONMENT AS A BATH OF OSCILLATORS: MORE SYSTEMATIC TREATMENT OF DECOHERENCE 30 6 LECTURE 6 - THE QUANTUM MEASUREMENT PROBLEM 37 INTRODUCTION TO QUANTUM COMPUTATION ARTUR EKERT 47 1 PHYSICAL REPRESENTATION OF INFORMATION 47 2 QUBITS, GATES AND NETWORKS 48 3 QUANTUM ARITHMETIC AND FUNCTION EVALUATIONS 53 4 ALGORITHMS AND THEIR COMPLEXITY 56 5 FROM INTERFEROMETERS TO COMPUTERS 59 6 THE FIRST QUANTUM ALGORITHMS 63 7 QUANTUM SEARCH 65 8 OPTIMAL PHASE ESTIMATION 67 9 PERIODICITY AND QUANTUM FACTORING 69 10 CRYPTOGRAPHY 71 ENVIRONMENT-INDUCED DECOHERENCE AND THE TRANSITION FROM QUANTUM TO CLASSICAL JUAN PABLO PAZ, WOJCIECH HUBERT ZUREK 77 1 INTRODUCTION AND OVERVIEW 77 2 QUANTUM MEASUREMENTS 80 2.1 BIT-BY-BIT MEASUREMENT AND QUANTUM ENTANGLEMENT 82 X TABLE OF CONTENTS 2.2 INTERACTIONS AND THE INFORMATION TRANSFER IN QUANTUM MEASUREMENTS 85 2.3 MONITORING BY THE ENVIRONMENT AND DECOHERENCE 87 2.4 ONE-BIT ENVIRONMENT FOR A BIT-BY-BIT MEASUREMENT 88 2.5 DECOHERENCE OF A SINGLE (QU)BIT 90 2.6 DECOHERENCE, EINSELECTION, AND CONTROLLED SHIFTS 94 3 DYNAMICS OF QUANTUM OPEN SYSTEMS: MASTER EQUATIONS 96 3.1 MASTER EQUATION: PERTURBATIVE EVALUATION 97 3.2 EXAMPLE 1: PERTURBATIVE MASTER EQUATION IN QUANTUM BROWNIAN MOTION 100 3.3 -EXAMPLE 2: PERTURBATIVE MASTER EQUATION /FOR A TWO-LEVEL SYSTEM COUPLED TO A BOSONIC HEAT BATH 102 3.4 EXAMPLE 3: PERTURBATIVE MASTER EQUATION FOR A PARTICLE INTERACTING WITH A QUANTUM FIELD 105 3.5 EXACT MASTER EQUATION FOR QUANTUM BROWNIAN MOTION 106 4 EINSELECTION IN QUANTUM BROWNIAN MOTION 112 4.1 DECOHERENCE OF A SUPERPOSITION OF TWO COHERENT STATES 112 4.2 PREDICTABILITY SIEVE AND PREFERRED STATES FOR QBM 115 4.3 ENERGY EIGENSTATES CAN ALSO BE SELECTED BY THE ENVIRONMENT! 117 5 DECONSTRUCTING DECOHERENCE: LANDSCAPE BEYOND THE STANDARD MODELS 118 5.1 SATURATION OF THE DECOHERENCE RATE AT LARGE DISTANCES / 119 5.2 DECOHERENCE AT ZERO TEMPERATURE 120 5.3 PREEXISTING CORRELATIONS BETWEEN THE SYSTEM AND THE ENVIRONMENT 122 6 DECOHERENCE AND CHAOS 125 6.1 QUANTUM PREDICTABILITY HORIZON: HOW THE CORRESPONDENCE IS LOST 125 6.2 EXPONENTIAL INSTABILITY VS. DECOHERENCE 127 6.3 THE ARROW OF TIME: A PRICE OF CLASSICALITY? 129 6.4 DECOHERENCE, EINSELECTION, AND THE ENTROPY PRODUCTION 132 7 HOW TO FIGHT AGAINST DECOHERENCE: QUANTUM ERROR CORRECTING CODES 133 7.1 HOW TO PROTECT A CLASSICAL BIT 134 7.2 HOW TO PROTECT A QUANTUM BIT 134 7.3 STABILIZER QUANTUM ERROR-CORRECTING CODES 140 8 DISCUSSION 143 QUANTUM INFORMATION SCIENCE USING PHOTONS DIK BOUWMEESTER, JOHN C. HOWELL, ANTIA LAMAS- LINARES 149 1 INTRODUCTION 149 1.1 A HUMBLE POINT OF VIEW 149 1.2 QUANTUM MYSTERY 150 1.3 MAXWELL S DEMON 151 1.4 SHANNON ENTROPY 154 TABLE OF CONTENTS XI 1.5 VON NEUMANN ENTROPY 156 2 EINSTEIN-PODOLSKY-ROSEN PARADOX AND BELL S INEQUALITIES 157 3 PRODUCING ENTANGLED PARTICLES 159 3.1 INTRODUCTION 159 3.2 PARAMETRIC DOWN-CONVERSION 159 3.3 FRANSON S PROPOSAL 160 3.4 POLARIZATION ENTANGLEMENT 161 4 THE BEAM SPLITTER ACTION ON A TWO-PHOTON STATE 163 4.1 BEAMSPLITTER TRANSFORMATION 163 4.2 BELL-STATE ANALYZER * 164 5 NO-CLONING THEOREM 165 6 QUANTUM CRYPTOGRAPHY 167 7 QUANTUM DENSE CODING 169 7.1 THEORETICAL SCHEME 169 7.2 EXPERIMENTAL DENSE CODING WITH QUBITS 170 8 QUANTUM TELEPORTATION 171 8.1 THEORETICAL SCHEME 171 8.2 EXPERIMENTAL QUANTUM TELEPORTATION OF QUBITS 173 8.3 TELEPORTATION OF ENTANGLEMENT 174 8.4 A TWO-PARTICLE SCHEME FOR QUANTUM TELEPORTATION 174 9 TELEPORTATION OF CONTINUOUS QUANTUM VARIABLES 177 9.1 THEORETICAL SCHEME 177 9.2 QUANTUM OPTICAL IMPLEMENTATION 178 10 QUANTUM ERROR DETECTION AND CORRECTION 181 10.1 INTRODUCTION 181 10.2 QUANTUM ERROR DETECTION 181 10.3 AVOIDING CONTROLLED-NOT OPERATIONS 183 10.4 POST-SELECTION 184 11 STIMULATED ENTANGLEMENT 185 11.1 THEORY 185 12 BOHM-TYPE SPIN-S ENTANGLEMENTS 193 QUANTUM INFORMATION: ENTANGLEMENT, PURIFICATION, ERROR CORRECTION, AND QUANTUM OPTICAL IMPLEMENTATIONS JUAN IGNACIO CIRAC 199 1 INTRODUCTION 199 2 QUANTUM COMPUTERS: QUANTUM OPTICAL IMPLEMENTATIONS 200 2.1 INTRODUCTION 200 2.2 HOW TO CONSTRUCT A QUANTUM COMPUTER 201 2.3 PHYSICAL IMPLEMENTATIONS FOR QUANTUM COMPUTATION 202 2.4 QUANTUM OPTICAL SYSTEMS FOR QUANTUM COMPUTATION 202 2.5 QUANTUM COMPUTATION WITH TRAPPED IONS 203 3 DECOHERENCE AND ERROR CORRECTION 205 3.1 INTRODUCTION 205 XII TABLE OF CONTENTS 3.2 DECOHERENCE 205 3.3 ERROR CORRECTION 206 3.4 ERROR CORRECTION AND DECOHERENCE 209 4 ENTANGLEMENT OF PURE STATES 210 4.1 INTRODUCTION 210 4.2 2-PARTITE ENTANGLEMENT: DEFINITION 211 4.3 2-PARTITE ENTANGLEMENT: QUALIFYING AND QUANTIFYING 212 4.4 MULTIPARTITE ENTANGLEMENT 214 5 ENTANGLEMENT OF MIXED STATES 215 5.1 INTRODUCTION 215 5.2 2-PARTITE ENTANGLEMENT: DEFINITION 217 5.3 2-PARTITE ENTANGLEMENT: ENTANGLEMENT WITNESSES 219 5.4 2-PARTITE ENTANGLEMENT: POSITIVE MAPS 220 5.5 2-PARTITE ENTANGLEMENT: ENTANGLED STATES WITH POSITIVE PARTIAL TRANSPOSITION 224 5.6 MULTIPARTITE ENTANGLEMENT -._ 224 6 ENTANGLEMENT DISTILLATION 226 6.1 INTRODUCTION 226 6.2 GENERALIZED MEASUREMENTS 227 6.3 DISTILLATION OF PURE STATES 229 6.4 DISTILLATION OF MIXED STATES 231 6.5 MULTIPARTITE DISTILLATION 236 SPINTRONICS, QUANTUM COMPUTING, AND QUANTUM COMMUNICATION IN QUANTUM DOTS GUIDO BURKARD, HANS-ANDREAS ENGEL, DANIEL LOSS 241 1 INTRODUCTION 241 1.1 QUANTUM COMPUTING 242 1.2 QUANTUM COMMUNICATION 242 1.3 GENERAL REMARKS ON QUANTUM DOTS 243 2 PHASE COHERENCE 243 3 PULSED SWITCHING AND ADIABATICITY 245 4 INITIALIZATION OF A QUANTUM REGISTER 247 5 TWO-QUBIT OPERATIONS IN COUPLED QUANTUM DOTS 247 5.1 LATERALLY COUPLED DOTS 248 5.2 VERTICALLY COUPLED DOTS 250 5.3 SINGLET-TRIPLET ENTANGLING GATE 253 6 SINGLE-SPIN OPERATIONS 253 7 SINGLE-SPIN MEASUREMENT 254 7.1 SPIN MEASUREMENTS THROUGH SPONTANEOUS MAGNETIZATION .... 254 7.2 SPIN MEASUREMENTS VIA THE CHARGE 254 7.3 QUANTUM DOT AS SPIN FILTER AND READ-OUT/MEMORY DEVICE . 255 7.4 OPTICAL MEASUREMENTS 257 8 QUANTUM COMMUNICATION WITH ENTANGLED ELECTRONS 257 8.1 ADDING ENTANGLED ELECTRONS TO THE FERMI SEA 257 8.2 SHOT NOISE OF ENTANGLED ELECTRONS 258 TABLE OF CONTENTS XIII 8.3 SPIN-DEPENDENT CURRENT THROUGH A DOUBLE DOT-PROBING ENTANGLEMENT 260 8.4 DOUBLE DOT WITH SUPERCONDUCTING LEADS 262
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spelling	Fundamentals of quantum information quantum computation, communication, decoherence and all that Dieter Heiss (ed.) Berlin [u.a.] Springer 2002 XIII, 265 s. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 587 Physics and astronomy online library Quanteninformatik Quantentheorie Quantum computers Quantum theory Information (DE-588)4026899-8 gnd rswk-swf Quanteninformatik (DE-588)4705961-8 gnd rswk-swf Quantencomputer (DE-588)4533372-5 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Quantentheorie (DE-588)4047992-4 s Information (DE-588)4026899-8 s DE-604 Quantencomputer (DE-588)4533372-5 s Quanteninformatik (DE-588)4705961-8 s Heiss, Dieter Sonstige oth Lecture notes in physics 587 (DE-604)BV000003166 587 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009765868&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Fundamentals of quantum information quantum computation, communication, decoherence and all that Lecture notes in physics Quanteninformatik Quantentheorie Quantum computers Quantum theory Information (DE-588)4026899-8 gnd Quanteninformatik (DE-588)4705961-8 gnd Quantencomputer (DE-588)4533372-5 gnd Quantentheorie (DE-588)4047992-4 gnd
subject_GND	(DE-588)4026899-8 (DE-588)4705961-8 (DE-588)4533372-5 (DE-588)4047992-4 (DE-588)1071861417
title	Fundamentals of quantum information quantum computation, communication, decoherence and all that
title_auth	Fundamentals of quantum information quantum computation, communication, decoherence and all that
title_exact_search	Fundamentals of quantum information quantum computation, communication, decoherence and all that
title_full	Fundamentals of quantum information quantum computation, communication, decoherence and all that Dieter Heiss (ed.)
title_fullStr	Fundamentals of quantum information quantum computation, communication, decoherence and all that Dieter Heiss (ed.)
title_full_unstemmed	Fundamentals of quantum information quantum computation, communication, decoherence and all that Dieter Heiss (ed.)
title_short	Fundamentals of quantum information
title_sort	fundamentals of quantum information quantum computation communication decoherence and all that
title_sub	quantum computation, communication, decoherence and all that
topic	Quanteninformatik Quantentheorie Quantum computers Quantum theory Information (DE-588)4026899-8 gnd Quanteninformatik (DE-588)4705961-8 gnd Quantencomputer (DE-588)4533372-5 gnd Quantentheorie (DE-588)4047992-4 gnd
topic_facet	Quanteninformatik Quantentheorie Quantum computers Quantum theory Information Quantencomputer Konferenzschrift
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volume_link	(DE-604)BV000003166
work_keys_str_mv	AT heissdieter fundamentalsofquantuminformationquantumcomputationcommunicationdecoherenceandallthat

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