Qubit flip game on a Heisenberg spin chain

Authors:
J. A. Miszczak;P. Gawron;Z. Puchała
Affiliations:
Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Gliwice, Poland 44-100;Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Gliwice, Poland 44-100;Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Gliwice, Poland 44-100
Venue:
Quantum Information Processing
Year:
2012

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Abstract

We study a quantum version of a penny flip game played using control parameters of the Hamiltonian in the Heisenberg model. Moreover, we extend this game by introducing auxiliary spins which can be used to alter the behaviour of the system. We show that a player aware of the complex structure of the system used to implement the game can use this knowledge to gain higher mean payoff.