Andreas Mielke
Institut for Theoretical Physics
Ruprecht-Karls University
Philosophenweg 19
D-69120 Heidelberg
Germany
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e-mail:
mielke@tphys.uni-heidelberg.de
Andreas Mielke: Quantum Parrondo Games in Low-Dimensional Hilbert Spaces
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(2023)
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Archiv: 2306.16845
Abstract
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.BibTeX-entry
@article{Mielke2023,
author="Andreas Mielke",
title="Quantum Parrondo Games in Low-Dimensional Hilbert Spaces",
year="2023"
}
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Last changes: 25.3.2024.
mielke@tphys.uni-heidelberg.de
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