Parrondo's paradox in quantum walks with deterministic aperiodic sequence of coins.

Walczak, Zbigniew; Bauer, Jarosław H · Phys Rev E · 2021

basic_science · Level V

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Abstract

Parrondo's effect is a well-known apparent paradox where a combination of biased random walks displays a counterintuitive reversal of the bias direction. We show that Parrondo's effect can occur not only in the case of one-dimensional discrete quantum walks with random or deterministic periodic sequence of two- or multistate quantum coins but also in the case of one-dimensional discrete quantum walks with deterministic aperiodic sequence of two-state quantum coins. Moreover, we show how Parrondo's effect affects the time evolution of the walker-coin quantum entanglement.