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Study of decoherence and memory in modified Eisert–Wilkens–Lewenstein scheme

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Abstract

Eisert–Wilkens–Lewenstein scheme is the well-known quantization scheme that exploits only controlled unitary operators due to the requirement of having a classical game as a subset of the quantum version. By revoking this requirement, the modified Eisert–Wilkens–Lewenstein scheme is proposed to admit the other two-qubit entangling operators. In the present work, we introduce the notions of decoherence and memory in the modified Eisert–Wilkens–Lewenstein scheme. While decoherence is known to decrease the payoffs of the players, memory increases it. Further, the present work reveals the availability of suitable entangling operators, which can increase (decrease) the effect of memory (decoherence) on the average payoff of the players under the given game setting.

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Acknowledgements

Authors gratefully acknowledge the reviewers for their valuable comments and suggestions which improved the paper to the present form.

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Authors and Affiliations

  1. Department of Physics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu, 632014, India

    A. V. S. Kameshwari & S. Balakrishnan

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  1. A. V. S. Kameshwari
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  2. S. Balakrishnan
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Correspondence to S. Balakrishnan.

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Kameshwari, A.V.S., Balakrishnan, S. Study of decoherence and memory in modified Eisert–Wilkens–Lewenstein scheme. Quantum Inf Process 20, 282 (2021). https://doi.org/10.1007/s11128-021-03216-8

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