Quantum entanglements: selected papers
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| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2004
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Bibliogr. S. [443] - 450. - Literaturangaben |
| Physical Description: | XLII, 461 S. Ill., graph. Darst. |
| ISBN: | 0199270155 |
Staff View
MARC
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| 245 | 1 | 0 | |a Quantum entanglements |b selected papers |c Rob Clifton. Ed. by Jeremy Butterfield ... |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2004 | |
| 300 | |a XLII, 461 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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Record in the Search Index
| _version_ | 1804142414501249024 |
|---|---|
| adam_text | Contents
List of Figures
xi
Preface
xiii
Acknowledgments
xv
Editors Introduction
xvii
1
The modal interpretation of quantum
mechanics
xviii
2
Foundations of algebraic quantum field theory
xxii
2.1
Nonlocality and the vacuum
xxiii
2.2
The Reeh-Schlieder theorem
xxvi
2.3
The modal interpretation of AQFT
xxvii
3
The concept of a particle
xxviii
4
Complementarity, hidden variables, and
entanglement
xxxii
5
Conclusion
xxxvi
I Modal Interpretations
1
1
Independently motivating the Kochen-Dieks modal
interpretation of quantum mechanics
3
1
Kochen-Dieks in context
3
2
The ad hoc charge
5
3
Kochen-Dieks in detail
8
4
The independently natural conditions
14
vi
Contents
5
Avoiding the conceptual problems
20
6
The motivation theorem and its implications
23
Appendix: Proof of the motivation theorem
26
2
A uniqueness theorem for no collapse interpretations
of quantum mechanics
35
1
The interpretation problem
35
2
The uniqueness theorem
45
3
Interpretations
53
3.1
The orthodox (Dirac-von Neumann)
interpretation
54
3.2
Resolution of the measurement problem
55
3.3
The modal interpretations of
Kochen
and of
Dieks
56
3.4
Bohmian mechanics
62
3.5
Bohr s complementarity interpretation
81
3
Revised proof for the uniqueness theorem for no
collapse interpretations of quantum mechanics
85
4
Lorentz-invariance in modal interpretations
91
1
The EPR-Bohm experiment in a fully relativistic
setting
95
2
Fundamental Lorentz-invariance
105
3
Stability
109
4
Contradiction
114
5
Empirical Lorentz-invariance
121
Appendix A: Lorentz-invariance in Bub s modal
interpretation
124
Appendix B: Hardy s argument against Lorentz-invariance
133
II Foundations of Algebraic Quantum Field Theory
141
5
The modal interpretation of algebraic quantum field
theory
143
Contents
vii
1
The modal interpretation of nonrelativistic
quantum theory
143
2
Critique of Dieks proposal
146
3
The modal interpretation for arbitrary
von
Neumann algebras
150
4
A potential difficulty with ergodic states
157
6
Generic Bell correlation between arbitrary local algebras
in quantum field theory
165
1
Introduction
165
2
Bell correlation between infinite
von
Neumann
algebras
166
3
Cyclic vectors and entangled states
170
4
Applications to algebraic quantum field theory
174
7
Entanglement and open systems in algebraic quantum
field theory
179
1
Introduction
180
2
AQFT, entanglement, and local operations
185
2.1
Operations, local operations, and
entanglement
191
3
The operational implications of the
Reeh-Schlieder theorem
198
3.1
Physical versus conceptual operations
202
3.2
Cyclicity and entanglement
205
4
Type
ΠΙ
von
Neumann algebras and intrinsic
entanglement
210
4.1
Neutralizing the methodological worry
217
III The Concept of a Particle
223
8
No place for particles in relativistic quantum theories?
225
1
Introduction
225
2
Malament s theorem
227
2.1
The soundness of Malament s argument
230
2.2
Tacit assumptions of Malament s theorem
233
viii Contents
3
Hegerfeldťs
theorem
236
4
Doing without no absolute velocity
239
5
Are there unsharply localizable particles?
242
6
Are there localizable particles in RQFT?
246
7
Particle talk without particle ontology
250
8
Conclusion
254
Appendix: Proofs of theorems
254
9
Are Rindler quanta real? Inequivalent particle concepts
in quantum field theory
263
1
Introduction
264
2
Inequivalent field quantizations
266
2.1
The Weyl algebra
267
2.2
Equivalence and disjointness of
representations
274
2.3
Physical equivalence of representations
278
3
Constructing representations
286
3.1
First quantization ( Splitting the frequencies )
286
3.2
Second quantization (Fock space)
288
3.3
Disjointness of the Minkowski and Rindler
representations
292
4
Minkowski versus Rindler quanta
296
4.1
The paradox of the observer-dependence of
particles
297
4.2
Minkowski probabilities for Rindler number
operators
303
4.3
Incommensurable or complementary?
309
5
Conclusion
318
Appendix: Proofs of selected theorems
320
IV New Light on Complementarity, Hidden
Variables, and Entanglement
333
10
Nonlocal correlations are generic in infinite-dimensional
bipartite systems
335
1
Preliminaries
336
Contents ix
2 CHSH
violation
and infinite-dimensional
systems
341
3
Generic CHSH violation characterizes
infinite-dimensional systems
343
4
CHSH insensitive states
345
5
Conclusion
348
Appendix A
349
Appendix
В
351
11
Complementarity between position and momentum
as a consequence of Kochen-Specker arguments
355
1
Complementarity and Kochen-Specker
355
2
The Weyl algebra
359
3
Obstructions for two and three degrees of freedom
361
12
Reconsidering Bohr s reply to EPR
369
1
Introduction
369
2
Informal preview
370
2.1
Bohr s reply
372
3
Classical description and appropriate mixtures
375
3.1
Appropriate mixtures and elements of reality
377
4
Bohr s reply: spin case
378
4.1
The EPR reality criterion
380
4.2
Objectivity and
invariance
383
5
Bohr s reply: position-momentum case
385
5.1
Formal model of the EPR experiment
387
5.2
The reconstruction theorem
388
6
Conclusion
390
13
Simulating quantum mechanics by non-contextual
hidden variables
395
1
Introduction
395
2
Outline of results
398
3
Non-contextual hidden variables for PV measures
405
4
Non-contextual hidden variables for POV
measures
410
5
Discussion
413
χ
Contents
14
The subtleties of entanglement and its role in
quantum information theory
419
1
Introduction
419
2
Different manifestations of nonlocality
421
3
Entanglement-assisted communication
427
4
Entanglement thermodynamics
434
Bibliography of the writings of Rob Clifton
443
Index
451
|
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| indexdate | 2024-07-09T22:31:23Z |
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| isbn | 0199270155 |
| language | English |
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| owner_facet | DE-11 DE-355 DE-BY-UBR |
| physical | XLII, 461 S. Ill., graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Oxford Univ. Press |
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| spelling | Clifton, Rob 1964-2002 Verfasser (DE-588)1055786589 aut Quantum entanglements selected papers Rob Clifton. Ed. by Jeremy Butterfield ... 1. publ. Oxford [u.a.] Oxford Univ. Press 2004 XLII, 461 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Bibliogr. S. [443] - 450. - Literaturangaben Philosophie (DE-588)4045791-6 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s Philosophie (DE-588)4045791-6 s DE-604 Butterfield, Jeremy 1954- (DE-588)1047634562 edt Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019965454&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Clifton, Rob 1964-2002 Quantum entanglements selected papers Philosophie (DE-588)4045791-6 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4045791-6 (DE-588)4047992-4 |
| title | Quantum entanglements selected papers |
| title_auth | Quantum entanglements selected papers |
| title_exact_search | Quantum entanglements selected papers |
| title_full | Quantum entanglements selected papers Rob Clifton. Ed. by Jeremy Butterfield ... |
| title_fullStr | Quantum entanglements selected papers Rob Clifton. Ed. by Jeremy Butterfield ... |
| title_full_unstemmed | Quantum entanglements selected papers Rob Clifton. Ed. by Jeremy Butterfield ... |
| title_short | Quantum entanglements |
| title_sort | quantum entanglements selected papers |
| title_sub | selected papers |
| topic | Philosophie (DE-588)4045791-6 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | Philosophie Quantentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019965454&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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