Verfügbarkeit: Quantum information

Quantum information:

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Bibliographische Detailangaben
1. Verfasser:	Barnett, Stephen M. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Oxford [u.a.] Oxford University Press 2009
Ausgabe:	1. publ.
Schriftenreihe:	Oxford master series in physics 16 : Atomic, optical, and laser physics
Schlagworte:	Quantum computers Quantum theory Information theory Quantentheorie Quanteninformatik
Online-Zugang:	Klappentext Inhaltsverzeichnis
Beschreibung:	Hier auch später erschienene, unveränderte Nachdrucke
Beschreibung:	XI, 300 S. graph. Darst.
ISBN:	9780198527626 9780198527633

Internformat

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Datensatz im Suchindex

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adam_text	Contents Probability and information 1 1.1 Introduction .......................... 1 1.2 Conditional probabilities ................... 2 1.3 Entropy and information ................... 7 1.4 Communications theory ................... 17 Suggestions for further reading .................. 26 Exercises .............................. 27 Elements of quantum theory 31 2.1 Basic principles ........................ .41 2.2 Mixed states ......................... Л7 2. Л Unitary operators ....................... 43 2.4 Qubits ............................. 45 2.5 Entangled states ....................... 49 Suggestions for further reading .................. 54 Exercises .............................. 55 Quantum cryptography 59 3.1 Information security ..................... 59 3.2 Quantum communications .................. 66 3.3 Optical polarization ..................... 70 3.4 Quantum key distribution .................. 76 Suggestions for further reading .................. 83 Exercises .............................. 84 Generalised measurements 89 4.1 Ideal von Neumann measurements .............89 4.2 Non-ideal measurements ...................92 4.3 Probability operator measures ................93 4.4 Optimized measurements ..................98 4.5 Operations ..........................106 Suggestions for further reading .................. Ill Exercises ..............................112 Entanglement 115 5.1 Non-łocality ..........................115 5.2 Indirect measurements ....................121 5.3 Ebits and shared entanglement ...............125 5.4 Quantum dense coding ....................127 χ Contents 5.5 Teleportation .........................129 Suggestions for further reading ..................136 Exercises ..............................136 β Quantum information processing 141 6.1 Digital electronics ......................141 6.2 Quantum gates ........................144 6.3 Quantum circuits .......................148 6.4 Quantum error correction ..................153 6.5 Cluster states .........................158 Suggestions for further reading ..................160 Exercises ..............................161 7 Quantum computation 165 7.1 Elements of computer science ................165 7.2 Principles of quantum computation .............169 7.3 The quantum Fourier transform ...............175 7.4 Shor s factoring algorithm ..................181 7.5 Grover s search algorithm ..................185 7.6 Physical requirements ....................189 Suggestions for further reading ..................191 Exercises ..............................192 8 Quantum information theory 197 8.1 The von Neumann entropy .................197 8.2 Composite systems ......................202 8.3 Quantitative state comparison ................205 8.4 Measures of entanglement ..................211 8.5 Quantum communications theory ..............214 Suggestions for further reading ..................227 Exercises ..............................227 A The equivalence of information and entropy 231 В Lagrange multipliers 235 С Stirling s approximation 239 D The Schmidt decomposition 241 E Number theory for cryptography 243 E.I Division properties ......................243 E.2 Least common multiple and greatest common divisor . . . 243 E.3 Prime numbers ........................244 E.4 Relatively prime integers and Euler s »^-function .....245 E.5 Congruences ..........................245 E.6 Primitive root modulo ρ ...................245 E.7 Diffie-Hellman cryptosystem ................246 E.8 RSA cryptosystem ......................246 Contents xi F Quantum copying 24Θ G Quantized field modes 253 H Position and momentum eigenstates 257 I Necessary conditions for a minimum-error POM 261 J Complete positivity 263 К Hardy s theorem 269 Ł Universal gates 271 M Nine- and flve-qubit quantum codewords 275 N Computational complexity 277 О The Bernstein Vaziranl algorithm 27Θ P Discrete Fourier transform« 2H3 Q An entropy inequality 2H5 R Quantum relative entropy 287 S The Araki Lieb inequality 28Θ T Fidelity for mixed states 291 U Entanglement of formation for two qubtts 295 Index 297 OXFORD MASTER SERIES IN ATOMIC, OPTICAL, AND LASER PHYSICS Books in this series are written at the final year undergraduate and beginning graduate level, and provide straightforward introductions to key topics in physics today. Background material and applications as well as pointers to mote advanced work are included, along with ample tutorial material, examples, illustrations, chapter summaries, and graded problem sets (with some answers and hints). Quantum information — the subject — is a new and exciting area of science, which brings together physics, information theory, computer science, and mathematics. Quantum Information — the book — is based on two successful lecture courses given to advanced undergraduate and beginning graduate students in physics.The intention is to introduce readers at this level to the fundamental, but often rather simple, ideas behind ground¬ breaking developments including quantum cryptography, teleportation, and quantum computing. The text is necessarily rather mathematical in style, but the mathematics are nowhere allowed priority over the key physical ideas.The aim throughout is to be com¬ plete and self-contained but to avoid, as far as possible, lengthy and formal mathematical proofs. Each of the eight chapters is followed by about forty exercise problems with which the reader can test their understanding and hone their skills.These will also provide a valuable resource to tutors and lecturers. Stephen M. Bar nett is Professor of Quantum Optics in the Department of Physics at the University of Strathclyde, Glasgow.
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spelling	Barnett, Stephen M. Verfasser (DE-588)141652209 aut Quantum information Stephen M. Barnett 1. publ. Oxford [u.a.] Oxford University Press 2009 XI, 300 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford master series in physics 16 : Atomic, optical, and laser physics Oxford master series in atomic, optical, and laser physics Hier auch später erschienene, unveränderte Nachdrucke Quantum computers Quantum theory Information theory Quantentheorie Quanteninformatik (DE-588)4705961-8 gnd rswk-swf Quanteninformatik (DE-588)4705961-8 s DE-604 Oxford master series in physics 16 : Atomic, optical, and laser physics (DE-604)BV017064373 16 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017328472&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Klappentext Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017328472&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Barnett, Stephen M. Quantum information Oxford master series in physics Quantum computers Quantum theory Information theory Quantentheorie Quanteninformatik (DE-588)4705961-8 gnd
subject_GND	(DE-588)4705961-8
title	Quantum information
title_auth	Quantum information
title_exact_search	Quantum information
title_full	Quantum information Stephen M. Barnett
title_fullStr	Quantum information Stephen M. Barnett
title_full_unstemmed	Quantum information Stephen M. Barnett
title_short	Quantum information
title_sort	quantum information
topic	Quantum computers Quantum theory Information theory Quantentheorie Quanteninformatik (DE-588)4705961-8 gnd
topic_facet	Quantum computers Quantum theory Information theory Quantentheorie Quanteninformatik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017328472&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017328472&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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