Parrondo's paradox in quantum walks with inhomogeneous coins

• URL: http://arxiv.org/abs/2407.16558v1
• Date: Tue, 23 Jul 2024 15:14:12 GMT
• Title: Parrondo's paradox in quantum walks with inhomogeneous coins
• Authors: Vikash Mittal, Yi-Ping Huang,
• Abstract summary: Parrondo's paradox is a counterintuitive phenomenon where two losing strategies combine to produce a winning outcome. In this study, we investigate the manifestation of Parrondo's paradox in discrete-time quantum walks.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Parrondo's paradox, a counterintuitive phenomenon where two losing strategies combine to produce a winning outcome, has been a subject of interest across various scientific fields, including quantum mechanics. In this study, we investigate the manifestation of Parrondo's paradox in discrete-time quantum walks. We demonstrate the existence of Parrondo's paradox using space and time-dependent coins without the need for a higher-dimensional coin or adding decoherence to the system. Our results enhance the feasibility of practical implementations and provide deeper insights into the underlying quantum dynamics, specifically the propagation constrained by the interference pattern of quantum walks. The implications of our results suggest the potential for more accessible and efficient designs in quantum transport, broadening the scope and application of Parrondo's paradox beyond conventional frameworks.

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