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Physica Scripta

The two-turn quantum games with continuous-variable strategies

Nengfa Wang, Zhe Yang

Published Apr 13, 2023• 6 citations
Publisher

Abstract

Abstract This paper investigates the two-turn quantum games with continuous-variable strategies by adopting the Li-Du-Massar method and Frackiewicz quantum scheme. We find that the entanglement level of Li-Du-Massar quantum scheme has a negative effect on the quantum equilibrium payoffs, and the entanglement level of Frackiewicz quantum scheme has a positive effect on the quantum equilibrium payoffs. Our analysis allows us to add a new look at the quantum games.

DOI
10.1088/1402-4896/acccb8

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Abstract This paper investigates the two-turn quantum games with continuous-variable strategies by adopting the Li-Du-Massar method and Frackiewicz quantum scheme. We find that the entanglement level of Li-Du-Massar quantum scheme has a negative effect on the quantum equilibrium payoffs, and the entanglement level of Frackiewicz quantum scheme has a positive effect on the quantum equilibrium payoffs. Our analysis allows us to add a new look at the quantum games.
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Abstract In this paper, we propose quantum games with continuous-variable strategies and separated entanglements, and analyze the outcomes of quantum games with respect to entanglement levels. We find that the entanglement level of own environment has a positive role in own quantum equilibrium supply quantities, and the properties of quantum equilibrium utilities are determined by the entanglement levels of two environments. Finally, we provide some numerical evidences to explain quantum games with separated entanglements.
Quantum games has becoming a new arisen branch of the quantum information. Du etc. utilize a two mode electromagnetic fileds in discussing the continuous-variable quantum games. From the model, they realized the entanglement in the game which might lead superior consults than the coresponding classical games. A multiplayer quantum game that the players can access to a continuous set of strategies is studied. By utilizing a kind of multi-mode electromagnetic fileds and let every two mode of the fields entangled pairwise. We discovered, base on this scheme, the conclusion above could be extended to arbitrary number of participators. With the increasing of entangle parameter, The sum of the profits will also increase monotonously. When each two-mode electromagnetic fileds entangle to maximum, i.e. EPR state, they will also attain highest profits.