dorsal/arxiv
View SchemaCommuting multiparty quantum observables and local compatibility
| Authors | Claudio Altafini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505223 |
| URL | https://arxiv.org/abs/quant-ph/0505223 |
| DOI | 10.1103/PhysRevA.72.012112 |
| Journal | Physical Review A, 72:012112, 2005 |
Abstract
A formula for the commutator of tensor product matrices is used to shows that, for qubits, compatibility of quantum multiparty observables almost never implies local compatibility at each site and to predict when this happens/does not happen in a concise manner. In particular, it is shown that two ``fully nontrivial'' $n$-qubit observables are compatible locally and globally if and only if they are equal up to sign. In addition, the formula gives insight into the construction of new paradoxes of the type of the Kochen-Specker Theorem, which can then be easily rephrased into proposals for new no hidden variable experiments of the type of the ``Bell Theorem without inequalities''.
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"abstract": "A formula for the commutator of tensor product matrices is used to shows\nthat, for qubits, compatibility of quantum multiparty observables almost never\nimplies local compatibility at each site and to predict when this happens/does\nnot happen in a concise manner. In particular, it is shown that two ``fully\nnontrivial\u0027\u0027 $n$-qubit observables are compatible locally and globally if and\nonly if they are equal up to sign. In addition, the formula gives insight into\nthe construction of new paradoxes of the type of the Kochen-Specker Theorem,\nwhich can then be easily rephrased into proposals for new no hidden variable\nexperiments of the type of the ``Bell Theorem without inequalities\u0027\u0027.",
"arxiv_id": "quant-ph/0505223",
"authors": [
"Claudio Altafini"
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"categories": [
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"doi": "10.1103/PhysRevA.72.012112",
"journal_ref": "Physical Review A, 72:012112, 2005",
"title": "Commuting multiparty quantum observables and local compatibility",
"url": "https://arxiv.org/abs/quant-ph/0505223"
},
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