Parrondo’s Paradox for Discrete-Time Quantum Walks in Momentum Space

نویسندگان

چکیده

We investigate the possibility of implementing a sequence quantum walks whose probability distributions give an overall positive winning probability, while it is negative for single (Parrondo’s paradox). In particular, we have in mind experimental realization with Bose–Einstein condensate which walker’s space momentum space. Experimental problems precise implementation coin operations our discrete-time are analyzed detail. study time-dependent phase fluctuations coins as well perturbations arising from finite width condensate. confirm visibility Parrondo’s paradox experimentally available time scales up to few hundred steps walk.

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ژورنال

عنوان ژورنال: Fluctuation and Noise Letters

سال: 2022

ISSN: ['0219-4775', '1793-6780']

DOI: https://doi.org/10.1142/s0219477522500535