Entanglement and decoherence: foundations and modern trends
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| Other Authors: | |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2009
|
| Series: | Lecture notes in physics
768 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | X, 320 S. graph. Darst. |
| ISBN: | 9783540881681 |
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| 245 | 1 | 0 | |a Entanglement and decoherence |b foundations and modern trends |c A. Buchleitner ... (ed.) |
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Record in the Search Index
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| adam_text | CONTENTS 1 GEOMETRY OF STATE SPACES A. UHLMANN, B. CRELL 1 1.1
INTRODUCTION 1 1.2 GEOMETRY OF PURE STATES 4 1.2.1 NORM AND DISTANCE IN
HUBERT SPACE 4 1.2.2 LENGTH OF CURVES IN H 4 1.2.3 DISTANCE AND LENGTH 6
1.2.4 CURVES ON THE UNIT SPHERE 7 1.2.5 PHASES 9 1.2.6 FUBINI-STUDY
DISTANCE 10 1.2.7 FUBINI-STUDY METRIC 12 1.2.8 SYMMETRIES 13 1.2.9
COMPARISON WITH OTHER NORMS 15 1.3 OPERATORS, OBSERVABLES, AND STATES 16
1.3.1 STATES AND EXPECTATION VALUES 17 1.3.2 SUBALGEBRAS AND SUBSYSTEMS
19 1.3.3 CLASSIFICATION OF FINITE QUANTUM SYSTEMS 23 1.3.4 ALL
SUBSYSTEMS FOR DIMFT OO 32 1.4 TRANSITION PROBABILITY, FIDELITY, AND
BURES DISTANCE 35 1.4.1 PURIFICATION 36 1.4.2 TRANSITION PROBABILITY AND
FIDELITY 37 1.4.3 OPTIMIZATION 38 1.4.4 WHY THE BURES DISTANCE IS A
DISTANCE 40 1.4.5 EXPRESSIONS FOR FIDELITY AND TRANSITION PROBABILITY 43
1.4.6 ESTIMATES AND A HIDDEN SYMMETRY 47 1.4.7 OPERATIONAL FIDELITY
49 1.5 APPENDIX: THE GEOMETRICAL MEAN 50 1.5.1 GEOMETRIE MEAN AND
FIDELITY 52 1.5.2 THE TRANSFORMER IDENTITY 53 1.5.3 #-CONVEXITY 57
REFERENCES 58 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/990378691
DIGITALISIERT DURCH VIII CONTENTS 2 BASIC CONCEPTS OF ENTANGLED STATES
F. MINTERT, C. VIVIESCAS, A. BUCHLEITNER 61 2.1 INTRODUCTION 61 2.2
ENTANGLED STATES 61 2.2.1 PURE STATES 62 2.2.2 MIXED STATES 63 2.3
SEPARABILITY CRITERIA 64 2.3.1 PURE STATES 64 2.3.2 MIXED STATES 66 2.4
ENTANGLEMENT MONOTONES AND MEASURES 71 2.4.1 GENERAL CONSIDERATIONS 71
2.4.2 SOME SPECIFIC MONOTONES AND MEASURES 78 REFERENCES 86 3 TOPOLOGY
AND QUANTUM COMPUTING L.H. KAUFFMAN, S.J. LOMONACO JR. 87 3.1
INTRODUCTION 87 3.2 KNOTS AND BRAIDS 90 3.3 QUANTUM MECHANICS AND
QUANTUM COMPUTATION 94 3.3.1 WHAT IS A QUANTUM COMPUTER? 95 3.4 BRAIDING
OPERATORS AND UNIVERSAL QUANTUM GATES 96 3.4.1 UNIVERSAL GATES 99 3.5 A
REMARK ABOUT EPR, ENTANGLEMENT AND BELL S INEQUALITY 102 3.6 THE ARAVIND
HYPOTHESIS 104 3.7 SU(2) REPRESENTATIONS OF THE ARTIN BRAID GROUP 104
3.8 THE BRACKET POLYNOMIAL AND THE JONES POLYNOMIAL 110 3.8.1 THE STATE
SUMMATION 113 3.8.2 QUANTUM COMPUTATION OF THE JONES POLYNOMIAL 114
3.8.3 THE HADAMARD TEST 117 3.9 QUANTUM TOPOLOGY, COBORDISM CATEGORIES,
TEMPERLEY-LIEB ALGEBRA AND TOPOLOGICAL QUANTUM FIELD THEORY 118 3.10
BRAIDING AND TOPOLOGICAL QUANTUM FIELD THEORY 127 3.11 SPIN NETWORKS AND
TEMPERLEY-LIEB RECOUPLING THEORY 135 3.11. CONTENTS IX 4.3
CLASSICAL-QUANTUM CORRESPONDENCE 163 4.4 SEMICLASSICAL QUANTUM STATES
169 4.5 OPERATOR REPRESENTATIONS AND DOUBLE PHASE SPACE 175 4.6 THE
WIGNER FUNCTION AND THE CHORD FUNCTION 182 4.7 THE PARTIAL TRACE:
SECTIONS AND PROJECTIONS 193 4.8 GENERATING A CLASSICAL ENTANGLEMENT:
THE EPR STATE 200 4.9 ENTANGLEMENT AND DECOHERENCE 206 4.10 A
SEMICLASSICAL PICTURE OF ENTANGLEMENT 208 REFERENCES 215 5 INTRODUCTION
TO DECOHERENCE THEORY K. HORNBERGER 221 5.1 THE CONCEPT OF DECOHERENCE
221 5.1.1 DECOHERENCE IN A NUTSHELL 222 5.1.2 GENERAL SCATTERING
INTERACTION 224 5.1.3 DECOHERENCE AS AN ENVIRONMENTAL MONITORING PROCESS
225 5.1.4 A FEW WORDS ON NOMENCLATURE 229 5.2 CASE STUDY: DEPHASING OF
QUBITS 230 5.2.1 AN EXACTLY SOLVABLE MODEL 230 5.2.2 THE CONTINUUM LIMIT
234 5.2.3 DEPHASING OF N QUBITS 237 5.3 MARKOVIAN DYNAMICS OF OPEN
QUANTUM SYSTEMS 239 5.3.1 QUANTUM DYNAMICAL SEMIGROUPS 240 5.3.2 THE
LINDBLAD FORM 242 5.3.3 QUANTUM TRAJECTORIES 245 5.3.4 EXEMPLARY MASTER
EQUATIONS 249 5.4 MICROSCOPIC DERIVATIONS 255 5.4.1 THE WEAK COUPLING
FORMULATION 255 5.4.2 THE MONITORING APPROACH 259 5.4.3 COLLISIONAL
DECOHERENCE OF A BROWNIAN PARTICLE 262 5.4.4 DECOHERENCE OF A QUANTUM
DOT 267 5.5 ROBUST STATES AND THE POINTER BASIS 270 5.5. X CONTENTS
6.3.2 MOMENTUM - A PRIMER ON TRANSLATIONS 295 6.3.3 MASTER EQUATION
APPROACH TO DIFFUSION 296 6.3.4 LINEAR RESPONSE AND DIFFUSION CONSTANT
303 6.4 DIFFUSIVE SPIN TRANSPORT 306 6.4.1 MASTER EQUATION APPROACH TO
DIFFUSIVE SPIN TRANSPORT ... 306 6.4.2 QUANTUM CORRECTIONS 309
REFERENCES 312 INDEX 315
|
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| isbn | 9783540881681 |
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| spelling | Entanglement and decoherence foundations and modern trends A. Buchleitner ... (ed.) Berlin [u.a.] Springer 2009 X, 320 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 768 Literaturangaben Quantentheorie Coherent states Quantum theory Kohärenz (DE-588)4139923-7 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Verschränkter Zustand (DE-588)4409616-1 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 s Kohärenz (DE-588)4139923-7 s Verschränkter Zustand (DE-588)4409616-1 s DE-604 Buchleitner, Andreas 1964- (DE-588)124060994 edt Lecture notes in physics 768 (DE-604)BV000003166 768 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017078973&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Entanglement and decoherence foundations and modern trends Lecture notes in physics Quantentheorie Coherent states Quantum theory Kohärenz (DE-588)4139923-7 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Verschränkter Zustand (DE-588)4409616-1 gnd |
| subject_GND | (DE-588)4139923-7 (DE-588)4300046-0 (DE-588)4409616-1 |
| title | Entanglement and decoherence foundations and modern trends |
| title_auth | Entanglement and decoherence foundations and modern trends |
| title_exact_search | Entanglement and decoherence foundations and modern trends |
| title_full | Entanglement and decoherence foundations and modern trends A. Buchleitner ... (ed.) |
| title_fullStr | Entanglement and decoherence foundations and modern trends A. Buchleitner ... (ed.) |
| title_full_unstemmed | Entanglement and decoherence foundations and modern trends A. Buchleitner ... (ed.) |
| title_short | Entanglement and decoherence |
| title_sort | entanglement and decoherence foundations and modern trends |
| title_sub | foundations and modern trends |
| topic | Quantentheorie Coherent states Quantum theory Kohärenz (DE-588)4139923-7 gnd Quantenmechanisches System (DE-588)4300046-0 gnd Verschränkter Zustand (DE-588)4409616-1 gnd |
| topic_facet | Quantentheorie Coherent states Quantum theory Kohärenz Quantenmechanisches System Verschränkter Zustand |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017078973&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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