dorsal/arxiv
View SchemaNo-hidden-variables proof for two spin-1/2 particles preselected and postselected in unentangled states
| Authors | Adan Cabello |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9706016 |
| URL | https://arxiv.org/abs/quant-ph/9706016 |
| DOI | 10.1103/PhysRevA.55.4109 |
| Journal | Phys.Rev. A55 (1997) 4109-4111 |
Abstract
It is a well-known fact that all the statistical predictions of quantum mechanics on the state of any physical system represented by a two-dimensional Hilbert space can always be duplicated by a noncontextual hidden-variables model. In this paper, I show that, in some cases, when we consider an additional independent (unentangled) two-dimensional system, the quantum description of the resulting composite system cannot be reproduced using noncontextual hidden variables. In particular, a no-hidden-variables proof is presented for two individual spin-1/2 particles preselected in an uncorrelated state AB and postselected in another uncorrelated state aB, B being the same state for the second particle in both preselection and postselection.
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"abstract": "It is a well-known fact that all the statistical predictions of quantum\nmechanics on the state of any physical system represented by a two-dimensional\nHilbert space can always be duplicated by a noncontextual hidden-variables\nmodel. In this paper, I show that, in some cases, when we consider an\nadditional independent (unentangled) two-dimensional system, the quantum\ndescription of the resulting composite system cannot be reproduced using\nnoncontextual hidden variables. In particular, a no-hidden-variables proof is\npresented for two individual spin-1/2 particles preselected in an uncorrelated\nstate AB and postselected in another uncorrelated state aB, B being the same\nstate for the second particle in both preselection and postselection.",
"arxiv_id": "quant-ph/9706016",
"authors": [
"Adan Cabello"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.55.4109",
"journal_ref": "Phys.Rev. A55 (1997) 4109-4111",
"title": "No-hidden-variables proof for two spin-1/2 particles preselected and postselected in unentangled states",
"url": "https://arxiv.org/abs/quant-ph/9706016"
},
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