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Quantum Information Processing

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01-08-2020

Significance of entangling operators in the purview of modified EWL scheme

Authors: V. Vijayakrishnan, S. Balakrishnan

Published in: Quantum Information Processing | Issue 9/2020

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Abstract

Recently, a modified approach to Eisert, Wilkens and Lewenstein quantization scheme has been proposed in Vijayakrishnan and Balakrishnan (Quantum Inf Process 18:112, 2019), with an aim to explore the two-qubit entangling operators in the domain of game theory. In the present work, we show the implications of such a modification by considering the possibility of conversion of symmetric to potential game, when one of the players uses a quantum strategy while the other resorts to classical strategy. Secondly, we show that entangling operators which produce same average payoffs do not produce same average entanglement. Furthermore, the converse is also found to hold good. Following which, we show that conversion of symmetric to potential games can be done through operators which are perfect entanglers.

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From here on, whenever we comment on entangling operator, we shall represent it as follows \(J(c_1,c_2,c_3)\). Moreover, in all the discussions pertaining to operators in this paper we shall consider \(c_3=0\).

With a strong condition on the geometrical points that \(c_1^{\prime }\ge c_2^{\prime }\), as pointed in [21].

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Title: Significance of entangling operators in the purview of modified EWL scheme
Authors: V. Vijayakrishnan
S. Balakrishnan
Publication date: 01-08-2020
Publisher: Springer US
Published in: Quantum Information Processing / Issue 9/2020
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI: https://doi.org/10.1007/s11128-020-02827-x

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