Contextuality| Contextuality |
In General
> s.a. foundations of quantum mechanics / Entropic
Dynamics; Hardy's Thought Experiment.
* Idea: The
impossibility of a hidden-variable model of quantum theory wherein the
representation of measurements does not depend on the context of the
measurement (see the Bell-Kochen-Specker theorem); The simplest proof
is considered to be Hardy's.
@ General references: Clifton AJP(93)may;
Svozil qp/99 [model],
AIP(05)qp/04 [and counterfactuals];
Appleby PRA(02) [existential];
Steane JPA(07)qp/06 [and unitarity and time reversal];
Bishop & Atmanspacher FP(06);
Kupczynski AIP(07)-a0710;
Karakostas JGPS(07)-a0811 [and non-separability];
Kurzyński et al PLA-a1111 [emergence of non-contextuality in macroscopic systems];
Hermens SHPMP(11);
Liang et al PRP(11) [Specker's parable of the overprotective seer];
Griffiths SHPMP(13)-a1201 [Hilbert-space quantum mechanics is non-contextual];
Fields IJGS(13)-a1201 [in classical physics];
Acín et al CMP(15)-a1212 [general combinatorial formalism];
Durham in(15)-a1307-FQXi [as Wheeler's universal regulating principle];
Asadian et al PRL(15)-a1502 [in phase space];
Dzhafarov & Kujala in(16)-a1508 [dialog];
Griffiths PTRS(19)-a1902 [Bell vs global contextuality, measurement];
Garola a1905 [non-contextual interpretation];
Jones a1906 [causal and probabilistic approaches];
Kupczynski a2005-ln [and quantum paradoxes];
Abramsky & Soares Barbosa a2011-proc [logic];
Budroni et al a2103 [rev, and Kochen-Specker theorem];
Shahandeh PRXQ(21) [and characteristics of a physical theory];
> s.a. logic.
@ Resource theory: Kocia & Love NJP(18)-a1711 [and orders of \(\hbar\), in the Wigner-Weyl-Moyal formalism];
Amaral a1904.
@ Mathematical formulation:
Abramsky et al a1502 [cohomology];
Carù EPTCS(17)-a1701;
Döring & Frembs a1910 [in the language of presheaves].
@ Proofs: Ghirardi & Wienand FP(09)-a0904;
Vidick & Wehner PRL(11)
[example of large violation of non-contextuality in quantum mechanics];
Cabello et al PRL(13)-a1310 [simple Hardy-like proof];
de Ronde a1606 [physical and philosophical meaning].
@ Quantification: Grudka et al PRL(14)-a1209 [contextuality measures];
Durham Info(14)-a1409 [order-theoretic];
Amaral et al PRA(15)-a1507 [and absolute maximal contextuality];
Simmons a1712
[quantum mechanics is not as contextual as other possible theories];
Kujala & Dzhafarov a1903.
@ And non-locality:
Kurzyński et al PRL(14);
Abramsky EATCS-a1406;
Zhan et al PRL(16)
+ news PhysOrg(16)mar [non-locality and contextuality never appear together];
Liu et al PRL(16)-a1603 [non-locality from local contextuality];
Cabello a1801 [physical origin].
@ State-independent contextuality:
Cabello a1201;
Cabello & Terra Cunha PRA(13)-a1212 [with identical particles].
@ Non-contextual inequalities: Bub & Stairs a1006 [use of the Klyachko inequality];
Cabello et al a1010 [as an axiom, and other theories];
Amselem et al PRL(12)-a1111 [and test].
@ Theoretical models: Chen et al PRA(13) [for a relativistic spin-1/2 particle, an electron in a Coulomb potential];
Laversanne-Finot et al JPA(17)-a1512 [Hilbert spaces of arbitrary dimensions];
Acacio de Barros et al a1707,
Gangopadhyay & Srikanth PS(19)-a1907 [and indistinguishability];
Svozil a2103 [types];
Schmid et al PRXQ(21) [and generalized probabilistic theories];
> s.a. approaches to quantum gravity.
@ Related topics: Raussendorf PRA(13)-a0907 [and quantum computation];
Dressel et al PRL(10)-a0911,
Dressel & Jordan PRA(12)-a1110 [contextual values of observables];
Dzhafarov et al LNCS(16)-a1504 [contextuality by default];
Acacio de Barros et al a1511 [and negative probabilities];
Kunjwal a1612 [and Kochen-Specker theorem];
Lostaglio PRL(18)-a1705 [and quantum fluctuation theorems];
Shrapnel & Costa Quantum(18)-a1708 [and causal structure].
Experiments > s.a. quantum foundations.
@ References: Svozil PRA(09)qp/04;
Cabello et al PRL(08)-a0804 [with neutrons];
Nambu a0805 [non-entangled photons];
Cabello PRL(08)-a0808;
Bartosik et al PRL(09)-a0904 [in neutron interferometry];
Pan & Home PLA(09)-a0912 [and subensemble mean values];
Cabello PRA(10)-a1002 [inequality];
Kurzyński et al PRL(12)-a1201 [simplest contextual inequality];
Zu et al PRL(12)
+ Paris & Paternostro Phy(12)
[state-independent experimental test on a single photonic qutrit];
Soeda et al PLA(13) [in macroscopic magnetization measurements];
Winter JPA(14)-a1408;
Cabello PRA(16)-a1603.
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