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Open Quantum Systems Decoherence

Quantum Parrondo's game with random strategies

arXiv

Authors: J. Kosik, J. A. Miszczak, V. Buzek

Year

2007

Paper ID

50511

Status

Preprint

Abstract Read

~2 min

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Abstract

We present a quantum implementation of Parrondo's game with randomly switched strategies using 1) a quantum walk as a source of "randomness" and 2) a completely positive (CP) map as a randomized evolution. The game exhibits the same paradox as in the classical setting where a combination of two losing strategies might result in a winning strategy. We show that the CP-map scheme leads to significantly lower net gain than the quantum walk scheme.

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We present a quantum implementation of Parrondo's game with randomly switched strategies using 1) a quantum walk as a source of "randomness" and 2) a completely positive (CP)...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0704.2937 [2] arXiv https://arxiv.org/abs/0704.2937 [3] Publisher https://arxiv.org/abs/0704.2937

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