dorsal/arxiv
View SchemaEntangled states that cannot reproduce original classical games in their quantum version
| Authors | Junichi Shimamura, Şahin Kaya Özdemir, Fumiaki Morikoshi, Nobuyuki Imoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404151 |
| URL | https://arxiv.org/abs/quant-ph/0404151 |
| DOI | 10.1016/j.physleta.2004.06.006 |
| Journal | Physics Letters A, 328, 20-25 (2004) |
Abstract
A model of a quantum version of classical games should reproduce the original classical games in order to be able to make a comparative analysis of quantum and classical effects. We analyze a class of symmetric multipartite entangled states and their effect on the reproducibility of the classical games. We present the necessary and sufficient condition for the reproducibility of the original classical games. Satisfying this condition means that complete orthogonal bases can be constructed from a given multipartite entangled state provided that each party is restricted to two local unitary operators. We prove that most of the states belonging to the class of symmetric states with respect to permutations, including the N-qubit W state, do not satisfy this condition.
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"abstract": "A model of a quantum version of classical games should reproduce the original\nclassical games in order to be able to make a comparative analysis of quantum\nand classical effects. We analyze a class of symmetric multipartite entangled\nstates and their effect on the reproducibility of the classical games. We\npresent the necessary and sufficient condition for the reproducibility of the\noriginal classical games. Satisfying this condition means that complete\northogonal bases can be constructed from a given multipartite entangled state\nprovided that each party is restricted to two local unitary operators. We prove\nthat most of the states belonging to the class of symmetric states with respect\nto permutations, including the N-qubit W state, do not satisfy this condition.",
"arxiv_id": "quant-ph/0404151",
"authors": [
"Junichi Shimamura",
"\u015eahin Kaya \u00d6zdemir",
"Fumiaki Morikoshi",
"Nobuyuki Imoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2004.06.006",
"journal_ref": "Physics Letters A, 328, 20-25 (2004)",
"title": "Entangled states that cannot reproduce original classical games in their quantum version",
"url": "https://arxiv.org/abs/quant-ph/0404151"
},
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