TY - JOUR

T1 - Entangled states that cannot reproduce original classical games in their quantum version

AU - Shimamura, Junichi

AU - Özdemir, Şahin Kaya

AU - Morikoshi, Fumiaki

AU - Imoto, Nobuyuki

N1 - Funding Information:
The authors thank M. Koashi for helpful discussions and critical reading of the manuscript, and T. Yamamoto and J. Soderholm for their warm support during this research. This work is partially supported by a Grant-in-Aid for Scientific Research (C) (15300079) by the Japan Society for the Promotion of Science (JSPS) and by the Telecommunications Advancement Organization of Japan (TAO).

PY - 2004/7/19

Y1 - 2004/7/19

N2 - 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.

AB - 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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U2 - 10.1016/j.physleta.2004.06.006

DO - 10.1016/j.physleta.2004.06.006

M3 - Article

AN - SCOPUS:3042833840

VL - 328

SP - 20

EP - 25

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 1

ER -