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DC Field | Value | Language |
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dc.contributor.author | Das, Siddhartha | - |
dc.contributor.author | Aravinda, S. | - |
dc.contributor.author | Srikanth, R. | - |
dc.contributor.author | Home, D. | - |
dc.date.accessioned | 2014-05-13T12:18:45Z | - |
dc.date.available | 2014-05-13T12:18:45Z | - |
dc.date.issued | 2013-12 | - |
dc.identifier.citation | Europhysics Letters, 2013, Vol. 104, p.60006 | en |
dc.identifier.issn | 0295-5075 | - |
dc.identifier.issn | 1286-4854 (Online). | - |
dc.identifier.uri | http://hdl.handle.net/2289/5879 | - |
dc.description | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) | en |
dc.description.abstract | The Bell-type (spatial), Kochen-Specker (contextuality) or Leggett-Garg (temporal) inequalities are based on classically plausible but otherwise quite distinct assumptions. For any of these inequalities, satisfaction is equivalent to a joint probability distribution for all observables in the experiment. This implies a joint distribution for all pairs of observables, and is indifferent to whether or not they commute in the theory. This indifference underpins a unification of the above inequalities into a general framework of correlation inequalities. When the physical scenario is such that the correlated pairs are all compatible, the resulting correlation is nonsignaling, which may be local or multi-particle, corresponding to contextuality or Bell-type inequalities. If the pairs are incompatible, the resulting correlation corresponds to Leggett-Garg (LG) inequalities. That quantum mechanics (QM) violates all these inequalities suggests a close connection between the local, spatial and temporal properties of the theory. As a concrete manifestation of the unification, we extend the method due to Roy and Singh (J. Phys. A, 11 (1978) L167) to derive and study a new class of hybrid spatio-temporal inequalities, where the correlated pairs in the experiment are both compatible or incompatible. The implications for cryptography and monogamy inequalities of the unification are briefly touched upon. | en |
dc.language.iso | en | en |
dc.publisher | IOP Publishing Ltd. | en |
dc.relation.uri | http://arxiv.org/abs/1308.0270 | en |
dc.relation.uri | http://dx.doi.org/10.1209/0295-5075/104/60006 | en |
dc.rights | 2013 EPLA | en |
dc.title | Unification of Bell, Leggett-Garg and kochen-specker inequalities: Hybrid spatio-temporal inequalities. | en |
dc.type | Article | en |
Appears in Collections: | Research Papers (LAMP) |
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2013_EPL_104_6006.pdf Restricted Access | Restricted Access | 194.04 kB | Adobe PDF | View/Open Request a copy |
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