Qubit flip game on a Heisenberg spin chain

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.

13 pages, 3 figures, 3 tables

References in corpus (5)

• Unitary designs and codes
• Parrondo's game using a discrete-time quantum walk
• Noise Effects in Quantum Magic Squares Game
• Noise effects in the quantum search algorithm from the computational complexity point of view
• Conditional Quantum Walk and Iterated Quantum Games

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• Decoherence effects in the quantum qubit flip game using Markovian approximation
• General model for a entanglement-enhanced composed quantum game on a two-dimensional lattice
• Quantum games on evolving random networks
• Enhancing pseudo-telepathy in the Magic Square game
• Quantum control with spectral constraints
• Three-players conflicting interest games and nonlocality