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Quantum Parrondo's Games

Adrian P. Flitney·Joseph Ng·Derek Abbott
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Abstract

Parrondo's Paradox arises when two losing games are combined to produce a winning one. A history dependent quantum Parrondo game is studied where the rotation operators that represent the toss of a classical biased coin are replaced by general SU(2) operators to transform the game into the quantum domain. In the initial state, a superposition of qubits can be used to couple the games and produce interference leading to quite different payoffs to those in the classical case.

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Adrian P. Flitney, Joseph Ng, Derek Abbott. 2002-02-22. Quantum Parrondo's Games. https://doi.org/10.1016/s0378-4371(02)01084-1

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