Conditional Quantum Walk and Iterated Quantum Games

Details Conditional Quantum Walk and Iterated Quantum Games Conditional Quantum Walk and Iterated Quantum Games

2006-07-20

arxiv.org/abs/quant-ph/0607143v3

Physica A, 387, pp 5326-5332, 2008.

Physics

Quantum Physics

Revtex 4, 6 pages, 3 figures. Expanded version with one more figure and updated references. Abstract was rewritten

Scientific paper

10.1016/j.physa.2008.04.036

Iterated bipartite quantum games are implemented in terms of the discrete-time quantum walk on the line. Our proposal allows for conditional strategies, as two rational agents make a choice from a restricted set of two-qubit unitary operations. Several frequently used classical strategies give rise to families of corresponding quantum strategies. A quantum version of the Prisoner's Dilemma in which both players use mixed strategies is presented as a specific example. Since there are now quantum walk physical implementations at a proof-of principle stage, this connection may represent a step towards the experimental realization of quantum games.

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