dorsal/arxiv
View SchemaGeneralized Kochen-Specker Theorem
| Authors | Asher Peres |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9510018 |
| URL | https://arxiv.org/abs/quant-ph/9510018 |
| DOI | 10.1007/BF02058634 |
| Journal | Found.Phys. 26 (1996) 807-812 |
Abstract
A generalized Kochen-Specker theorem is proved. It is shown that there exist sets of $n$ projection operators, representing $n$ yes-no questions about a quantum system, such that none of the $2^n$ possible answers is compatible with sum rules imposed by quantum mechanics. Namely, if a subset of commuting projection operators sums up to a matrix having only even or only odd eigenvalues, the number of ``yes'' answers ought to be even or odd, respectively. This requirement may lead to contradictions. An example is provided, involving nine projection operators in a 4-dimensional space.
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"abstract": "A generalized Kochen-Specker theorem is proved. It is shown that there exist\nsets of $n$ projection operators, representing $n$ yes-no questions about a\nquantum system, such that none of the $2^n$ possible answers is compatible with\nsum rules imposed by quantum mechanics. Namely, if a subset of commuting\nprojection operators sums up to a matrix having only even or only odd\neigenvalues, the number of ``yes\u0027\u0027 answers ought to be even or odd,\nrespectively. This requirement may lead to contradictions. An example is\nprovided, involving nine projection operators in a 4-dimensional space.",
"arxiv_id": "quant-ph/9510018",
"authors": [
"Asher Peres"
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"quant-ph"
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"doi": "10.1007/BF02058634",
"journal_ref": "Found.Phys. 26 (1996) 807-812",
"title": "Generalized Kochen-Specker Theorem",
"url": "https://arxiv.org/abs/quant-ph/9510018"
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