Quantum Games and Quantum Discord

TL;DR

This paper explores how quantum discord influences quantum game outcomes by quantizing classic dilemmas like prisoners dilemma and chicken game, using Werner-like states and different measurement bases.

Contribution

It introduces a generalized quantization scheme demonstrating the role of quantum discord in resolving dilemmas in quantum games.

Findings

Separable states with non-zero quantum discord resolve dilemmas in entangled basis measurements.

Payoffs become quantum mechanical only when quantum discord is non-zero in product basis measurements.

Quantum discord is crucial for quantum advantage in the studied games.

Abstract

We quantize prisoners dilemma and chicken game by our generalized quantization scheme to explore the role of quantum discord in quantum games. In order to establish this connection we use Werner-like state as an initial state of the game. In this quantization scheme measurement can be performed in entangled as well as in product basis. For the measurement in entangled basis the dilemma in both the games can be resolved by separable states with non-zero quantum discord. Similarly for product basis measurement the payoffs are quantum mechanical only for nonzero values of quantum discord.