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Quantum Information Processing

Parrondo’s game of quantum search based on quantum walk

  • 01-07-2024
Published in:
Authors
Taisuke Hosaka
Norio Konno
Published in
Quantum Information Processing | Issue 7/2024

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Abstract

The article delves into the intriguing intersection of Parrondo's paradox and quantum search algorithms based on quantum walks. It begins by introducing the concept of quantum walks and their distinct properties compared to classical random walks. The focus then shifts to the application of Parrondo's paradox in quantum search, defining winning and losing strategies within this context. The authors present numerical simulations demonstrating the existence of both positive and negative paradoxes on one- and two-dimensional tori. Additionally, they provide rigorous proofs showing the symmetry of the paradox range on even-vertex graphs, a finding that could significantly impact the efficiency of quantum search algorithms. The article concludes with suggestions for future research directions, highlighting the potential of this approach to enhance quantum search strategies.
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previous article Entanglement and work statistics in the driven open system
next article Multipartite standard nonlocality sharing by m-sided independent sequential observers
Title
Parrondo’s game of quantum search based on quantum walk
Authors
Taisuke Hosaka
Norio Konno
Publication date
01-07-2024
Publisher
Springer US
Published in
Quantum Information Processing / Issue 7/2024
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-024-04459-x
This content is only visible if you are logged in and have the appropriate permissions.

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