Battle of the sexes game analysis using Yang-Baxter operator as quantum gate

Juan M. López R.

doi:10.1117/12.918977

8 May 2012 Battle of the sexes game analysis using Yang-Baxter operator as quantum gate

Juan M. López R.

Proceedings Volume 8400, Quantum Information and Computation X; 84000Q (2012) https://doi.org/10.1117/12.918977
Event: SPIE Defense, Security, and Sensing, 2012, Baltimore, Maryland, United States

Abstract

The Battle of the Sexes game is analyzed from quantum game theory using quantum initial states as possible strategies for two players. Quantum circuits are presented as schemes of development proposing also the use of Yang-Baxter operators as quantum gates in the circuits. This formalism is implemented using a Computer Algebra Software (CAS) due to its complex and long mathematical treatment. Payoff matrices of the players are given as the results for each case shown. Biology and finances applications are also proposed.

Citation Download Citation

Juan M. López R. "Battle of the sexes game analysis using Yang-Baxter operator as quantum gate", Proc. SPIE 8400, Quantum Information and Computation X, 84000Q (8 May 2012); https://doi.org/10.1117/12.918977

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