Ruprecht-Karls-Universität Heidelberg
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Andreas Mielke
Institut für Theoretische Physik
Ruprecht-Karls Universität
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D-69120 Heidelberg
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Andreas Mielke: Quantum Parrondo Games in Low-Dimensional Hilbert Spaces
, (2023) .

Archiv: 2306.16845


We consider quantum variants of Parrondo games on low-dimensional Hilbert spaces. The two games which form the Parrondo game are implemented as quantum walks on a small cycle of length M. The dimension of the Hilbert space is 2M. We investigate a random sequence of these two games which is realized by a quantum coin, so that the total Hilbert space dimension is 4M. We show that in the quantum Parrondo game constructed in this way a systematic win or loss occurs in the long time limit. Due to entaglement and self-interference on the cycle, the game yields a rather complex structure for the win or loss depending on the parameters.


author="Andreas Mielke",
title="Quantum Parrondo Games in Low-Dimensional Hilbert Spaces",

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Letzte Änderung: 21.8.2023.