dorsal/arxiv
View SchemaInequalities that test locality in quantum mechanics
| Authors | Dennis Dieks |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206172 |
| URL | https://arxiv.org/abs/quant-ph/0206172 |
| DOI | 10.1103/PhysRevA.66.062104 |
Abstract
Quantum theory violates Bell's inequality, but not to the maximum extent that is logically possible. We derive inequalities (generalizations of Cirel'son's inequality) that quantify the upper bound of the violation, both for the standard formalism and the formalism of generalized observables (POVMs). These inequalities are quantum analogues of Bell inequalities, and they can be used to test the quantum version of locality. We discuss the nature of this kind of locality. We also go into the relation of our results to an argument by Popescu and Rohrlich (Found. Phys. 24, 379 (1994)) that there is no general connection between the existence of Cirel'son's bound and locality.
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"abstract": "Quantum theory violates Bell\u0027s inequality, but not to the maximum extent that\nis logically possible. We derive inequalities (generalizations of Cirel\u0027son\u0027s\ninequality) that quantify the upper bound of the violation, both for the\nstandard formalism and the formalism of generalized observables (POVMs). These\ninequalities are quantum analogues of Bell inequalities, and they can be used\nto test the quantum version of locality. We discuss the nature of this kind of\nlocality. We also go into the relation of our results to an argument by Popescu\nand Rohrlich (Found. Phys. 24, 379 (1994)) that there is no general connection\nbetween the existence of Cirel\u0027son\u0027s bound and locality.",
"arxiv_id": "quant-ph/0206172",
"authors": [
"Dennis Dieks"
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"doi": "10.1103/PhysRevA.66.062104",
"title": "Inequalities that test locality in quantum mechanics",
"url": "https://arxiv.org/abs/quant-ph/0206172"
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