dorsal/arxiv
View SchemaOn how to Produce Entangled States Violating Bell's Inequalities in Quantum Theory
| Authors | Apoorva Patel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9810071 |
| URL | https://arxiv.org/abs/quant-ph/9810071 |
Abstract
Feynman's path integrals provide a hidden variable description of quantum mechanics (and quantum field theories). The time evolution kernel is unitary in Minkowski time, but generically it becomes real and non-negative in Euclidean time. It follows that the entangled state correlations, that violate Bell's inequalities in Minkowski time, obey the inequalities in Euclidean time. This observation emphasises the link between violation of Bell's inequalities in quantum mechanics and unitarity of the theory. Search for an evolution kernel that cannot be conveniently made non-negative leads to effective interactions that violate time reversal invariance. Interactions giving rise to geometric phases in the effective description of the theory, such as the anomalous Wess-Zumino interactions, have this feature. I infer that they must be present in any set-up that produces entangled states violating Bell's inequalities. Such interactions would be a crucial ingredient in a quantum computer.
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"abstract": "Feynman\u0027s path integrals provide a hidden variable description of quantum\nmechanics (and quantum field theories). The time evolution kernel is unitary in\nMinkowski time, but generically it becomes real and non-negative in Euclidean\ntime. It follows that the entangled state correlations, that violate Bell\u0027s\ninequalities in Minkowski time, obey the inequalities in Euclidean time. This\nobservation emphasises the link between violation of Bell\u0027s inequalities in\nquantum mechanics and unitarity of the theory. Search for an evolution kernel\nthat cannot be conveniently made non-negative leads to effective interactions\nthat violate time reversal invariance. Interactions giving rise to geometric\nphases in the effective description of the theory, such as the anomalous\nWess-Zumino interactions, have this feature. I infer that they must be present\nin any set-up that produces entangled states violating Bell\u0027s inequalities.\nSuch interactions would be a crucial ingredient in a quantum computer.",
"arxiv_id": "quant-ph/9810071",
"authors": [
"Apoorva Patel"
],
"categories": [
"quant-ph",
"hep-th"
],
"title": "On how to Produce Entangled States Violating Bell\u0027s Inequalities in Quantum Theory",
"url": "https://arxiv.org/abs/quant-ph/9810071"
},
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