Locality in Quantum Mechanics| Locality in Quantum Mechanics |
Quantum Locality in General
> s.a. foundations and interpretations; locality;
locality in quantum field theory; localization.
* Implementations of locality:
de Broglie-Bohm's pilot wave, or parametrized relativistic quantum theory
(> see modified quantum mechanics).
@ In general, and non-relativistic: Sorkin pr(83);
Groenewold PRP(87);
Hoekzema FP(87) [in contextual theories];
Hajra & Bandyopadhyay PLA(91) [and quantization procedure, quantum geometry];
Kar PRA(97) [n spin-1/2];
Healey PhSc(97)mar [Aharonov-Bohm effect];
Strunz et al PRL(99) [stochastic quantum mechanics, high-T environment];
de la Madrid IJTP(07)qp/06 [and rigged Hilbert space];
Ghirardi & Marinatto PRA(06) [Hardy for mixed states];
Laloë in(07)cm/06 [and BEC];
Nikolić qp/07 [algorithmic definition of locality];
Chen & Zhu a0711 [vs realism];
Nisticò & Sestito a1002,
FP(11);
Stapp FP(12)-a1111;
Gallego et al PRL(12)-a1112 [operational framework];
Healey a1207
[there is no conflict between quantum theory and relativity];
Brunner et al RMP(14)-a1303 [rev];
Plotnitsky a1912;
Sassoli de Bianchi a2006 [quantum mechanics is non-local];
Chen a2006 [trying to avoid non-locality].
@ Einstein locality vs other notions: Griffiths FP(11)-a0908 [Einstein locality vs Bell inequalities];
Schmelzer FP-a1610.
@ Quantum mechanics is local: de Muynck et al FP(94),
comment Stapp FP(94);
De Baere et al FP(99);
Bene qp/00-conf;
Tommasini JHEP(02)ht;
Unnikrishnan FPL(02)qp,
qp/02-conf [wave-function collapse];
Clover qp/03;
De Baere FP(05)qp;
Filk IJTP(06)qp;
Weinstein FP(09)-a0812 [model];
Deutsch PRS(12)-a1109;
Griffiths a1304,
a1512;
Bednorz a1508 [local realism as a postulate];
Brownstein a1708,
a1708,
a1708 [locality of subsystems];
Sánchez-Kuntz & Nahmad-Achar FP(17)-a1605;
Griffiths PRA(20)-a1901 [examples, suggested terminology];
Khrennikov a1907;
Bédard a2001.
@ History: Wiseman CP(06)qp/05 [Einstein];
Hiley a1412 [and John Bell's contributions].
@ And uncertainty: Oppenheim & Wehner Sci(10)nov-a1004;
Hänggi & Tomamichel JPA(13)-a1108;
Wang & Markham PRL(12)-a1112 [permutation-symmetric states];
Dahlsten et al nComm(14)-a1206 [uncertainty as a consequence of locality];
Wu et al PLA(14).
@ Single particle / photon: Hardy PLA(91),
PRL(94);
Björk et al PRA(01);
Drezet FPL(06);
Dunningham & Vedral PRL(07) [realizable experiment];
Heaney et al NJP(11)-a0911,
comment Ghirardi FP(11)-a1101;
Jones & Wiseman PRA(11)-a1102;
Laghaout et al PRA(11)-a1110 [limits];
> s.a particle models
and quantum particles; photons.
@ Relativistic: Omnès JMP(97);
Zakrzewski JPA(97);
Terno qp/02 [and energy density];
Barat & Kimball PLA(03);
Slavnov TMP(08);
Albert & Galchen SA(09)mar;
Ghirardi FP(10)-a0912;
Nikolić IJQI-a1002-conf;
Crater & Lusanna IJMPA(14)-a1306;
Terno PRA(14)-a1308 [and uncertainty relations];
> s.a. relativistic quantum mechanics; quantum measurement [MR model].
@ Multipartite non-locality: Jones et al PRA(05)qp/04;
Parasuram & Ghosh a0903
≠ Seshadreesan & Ghosh JPA(11) [bipartite spin systems];
Bancal et al PRL(09)-a0903;
Almeida et al PRA(10)-a0911;
Hastings a1008-ln [many-body systems];
Bancal et al PRL(11)-a1011 [detection];
Cavalcanti et al PRA(11) [unified criteria];
Reid et al FoP(12)-a1112;
Bancal et al PRA(13)-a1112;
Lee et al PRA(13)-a1211 [in phase space];
Cabello PRL(15)-a1411 [explaining the type of quantum n-body nonlocality];
> s.a. networks; quantum systems;
spin models.
Non-Locality in Quantum Mechanics
> s.a. Action at a Distance; contextuality;
entanglement; experiments;
Ontology; Steering.
* Idea: Quantum non-locality concerns
correlations among spatially separated systems that cannot be explained classically.
* Rem: Quantum mechanics and
relativistic causality imply non-locality.
* Manifestations: Wave-function collapse,
the Aharonov-Bohm effect, and likely effects due to small-scale spacetime structure;
Quantum non-locality is usually tied to the celebrated no-go theorems, including
the Kochen-Specker and Bell theorems, as well as elegant refinements by Mermin,
Peres, Hardy, GHZ, and many others; Typically entanglement or carefully prepared
multipartite systems have been considered essential for violations of local
realism and for understanding quantum non-locality; However, sharp violations
of local realism arise almost everywhere without entanglement.
* And correlations: The set
of non-local correlations known as Popescu-Rohrlich box can be seen as a
unit of non-locality.
* History: Between 1964 and 1990,
the notion of non-locality in Bell's papers underwent a profound change as his
non-locality theorem gradually became detached from quantum mechanics, and referred
to wider probabilistic theories involving correlations between separated beables.
* Types of non-locality: Entanglement,
EPR steering, and the failure of local hidden-variable theories have been shown to
be inequivalent; Non-locality can be kinematical, arising from the structure of the
Hilbert space, and dynamical, arising from the quantum equations of motion.
* Ways out: Non-locality is only
an artifact of considering quantum objects and classical observers (Tipler);
Particles described by the Klein-Gordon or Dirac equation cannot be localized
and therefore don't violate causality; See also the Marolf + Rovelli model.
@ General references:
Bohm & Hiley FP(75);
Brody & de la Peña-Auerbach NCB(79);
Stapp AJP(85)apr,
FP(88);
Clifton FPL(89);
Aerts & Reignier HPA(91);
Elitzur et al PLA(92);
Popescu PRL(94);
Rosen AJP(94)feb;
Rohrlich & Popescu qp/95;
Nogueira et al PS(96);
Popescu & Rohrlich qp/97-proc;
Mermin AJP(98)oct-qp/97,
qp/97;
Unruh PRA(99)qp/97,
comment Stapp qp/98,
PRA(99)qp/98;
Hegerfeldt LNP(98)qp,
AdP(98)qp-in;
Pati qp/98-conf;
Sidharth qp/98;
Choy & Ziegeler qp/99/AJP;
Stapp qp/00/AJP;
Dieks PRA(02)qp [inequalities];
Unruh IJQI(06);
Dukaric & Wolf a0808 [non-locality distillation];
Hong a1002;
Ruža PS(10) [non-locality is inconsistent];
Corelli et al PRL(11) [transitivity property];
Cattani a1103 [pedagogical];
He et al PRA(11)-a1103 [detection criteria];
de la Peña et al a1110;
Griffiths FP(01)-a1201 [re Stapp's counterfactual argument];
Palazuelos PRL(12) [non-local state from a combination of local states];
Moldoveanu a1211
[quantum mechanics is non-local and non-realistic];
Mohrhoff FS(16)-a1411 [explanation];
Christensen et al PRX(15)-a1506 [with entangled photons];
Leffler a1509 [and path integrals];
Sengupta et al a2012 [as a form of entanglement];
Grangier a2012 [contextual inferences].
@ Relational framework: Abramsky SL-a1007;
Martin-Dussaud et al FP(19)-a1806,
comment Pienaar a1807 [no mysterious space-like influence].
@ Measures of non-locality:
Montina & Wolf NJP(16)-a1312 [minimal communication cost];
Beck a1807 [realism-based].
@ Other versions and approaches: Pryde et al PRL(05)qp/04 [without entanglement];
Ghirardi & Marinatto JOB(05)qp-in [without inequalities];
Wiseman et al PRL(07) [types];
Scarani PRA(08)-a0712 [Elitzur-Popescu-Rohrlich approach];
Pachón & Pachón a1307 [dynamical non-locality, origin];
Ryff a1308 [alternative approach];
Dowker et al NJP(14)-a1311 [histories perspective];
De Martini & Santamato IJTP(14) [and Conformal Quantum Geometrodynamics];
Gogioso & Zeng EPTCS(15)-a1506 [Mermin non-locality, in abstract process theories];
Beil a1511 [spacetime geometry];
Srikanth a1811 [operational].
@ Specific types of systems: Ne'eman FP(86)-in(88) [gauge theory];
Dumin AHEP(14)-a1401 [cosmology];
Lepori et al JSM(17)-a1607 [long-range quantum systems];
Tura et al a1607 [many-body spin systems];
de Lima Bernardo et al SRep(17)-a1608 [1+2 particles];
Carvacho et al nComm(17)-a1610 [quantum network, experiment];
Franklin AJP(19)aug [magnetic field in Aharonov-Bohm effect].
@ Non-locality, other phenomenology: Stapp AJP(97)apr,
comment Finkelstein qp/98,
Mashkevich qp/98,
Shimony & Stein AJP(01)aug,
Stapp AJP(01)aug-qp/00 [acausal propagation];
Saunders et al NJP(12)-a1103 [the simplest demonstrations];
Pütz et al PRL(14)-a1407 [Bell tests, measurement-dependent locality and free choice];
Liang et al PRL(14) [anonymous quantum nonlocality];
Kunkri et al PRA(17)-a1604 [in macroscopic measurements];
Garziano et al a1910
[distant resonators jointly absorbing a single photon];
> s.a. Hardy's Experiment;
quantum systems [non-local].
Other References
> s.a. particle statistics; quantum technology;
realism; time in quantum theory;
wave-function collapse.
@ I, II: Nadeau & Kafatos 00;
Jacobs & Wiseman AJP(05)oct [short story];
Gisin Sci(09)dec-a0912.
@ Tests: Tittel et al EPL(97)qp [experiment with photons];
Zhu et al EPL(11)-a1009 [dynamic vs kinematic non-locality];
Christensen et al PRL(13) [detection-loophole free];
Raeisi et al PRL(15)-a1502 [entropic tests of multipartite non-locality];
Belinsky & Zhukovsky a1509 [proposed experiment].
@ Proof: Hardy PRL(93) [two particles];
Boschi et al PRL(97);
Hardy in(97) [spin-1/2];
Cabello PRA(98) [ladder, spin-1];
Suarez a1204-in [loophole-free];
Nisticò IJTP(14) [according to ordinary mathematical logic];
Bricmont et al a1906
[using position and momentum variables],
a2005 [EPR-Schrödinger paradoxes].
@ And correlations:
Clifton et al BJPS(90);
Tittel et al PRA(98)qp/97 [> 10 km];
Mermin FP(99)qp/98;
Unnikrishnan qp/00;
Barrett & Pironio PRL(05)qp [as non-locality units];
Buchholz & Summers PLA(05);
Suarez a0902 [why not maximally non-local?];
Christian a1106-ch [photons];
> s.a. EPR correlations.
@ And entanglement:
Bennett et al PRA(99)qp/98;
Unnikrishnan O&S(01)qp/00-conf;
Brunner et al NJP(05)qp/04;
Malley & Fine PLA(05)qp;
> s.a. XY Chain.
@ And information processing:
Forster et al PRL(09)
[distilling non-locality in generalized non-signaling theories].
@ And causality:
Ruijsenaars AP(81),
Bruß et al PRA(00)qp [superluminal propagation];
Mashkevich qp/98;
Busch JPA(99)-a1303 [unsharp localization];
Buscemi & Compagno JPB(06)qp;
Suarez a1009 [Bell non-locality and non-locality at detection];
Henson a1102 [without ontic definiteness];
Wagner et al PRA(11) [Schrödinger, Klein-Gordon and Dirac equations];
Brunner et al RMP(14)-a1303 [Bell non-locality];
Kupczynski JPCS(14)-a1312 [causality and local determinism];
Hofer-Szabó & Vecsernyés JMP(15)-a1407 [Bell's local causality];
Shafiee & Ghahramani QSMF(15)-a1509;
Scarani 19 [Bell non-locality];
> s.a. causality in quantum theory [including no signaling];
Hall a2010 [perfect correlation and determinism].
@ And Bell's inequality: Jarrett Noûs(84);
Stapp qp/99;
Pitowsky & Svozil PRA(01);
Socolovsky PLA(03)qp;
Rizzi qp/03;
Hemmick in(11)qp/04 [hidden variables];
Cavalcanti FP(12)-a0911;
Hirsch et al PRL(13)-a1307 [hidden non-locality];
Brown & Timpson a1501;
Murta PhD-a1704 [maximal violation].
@ And many-worlds interpretation:
Sakaguchi qp/96;
Tipler qp/00;
Rubin FP(02)qp;
Tipler a1008 [as evidence for a multiverse cosmology];
Gisin a1011-conf
[non-locality and free will are incompatible with the many-worlds view].
@ And hidden-variable interpretations:
Teufel et al PRA(97);
> s.a. pilot-wave theory.
@ Recovery of locality in the classical limit:
Pagonis et al PLA(91);
Gisin et al qp/96-proc;
't Hooft ht/00-in.
@ Related topics: Aharonov & Vaidman PRA(00)qp/99 [fermions vs bosons];
Sant'Anna qp/00 [and quasi-set theory];
Kafatos et al qp/02 [and sheaf cohomology];
van Dam et al IEEE(05)qp/03 [strength of proofs];
Slavnov a0903,
TMP(14) [and irreversibility];
> s.a. Free Will.
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