Related Experiment Video
Updated: Sep 4, 2025

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Parrondo's paradox in quantum walks with three coins
Zbigniew Walczak1, Jarosław H Bauer1
1Department of Theoretical Physics, Faculty of Physics and Applied Informatics, University of Lodz, Pomorska 149/153, 90-236 Lodz, Poland.
Parrondo's paradox, a reversal in biased random walks, is demonstrated in quantum walks using two or three quantum coins. This phenomenon also impacts quantum entanglement
Area of Science:
- Quantum Physics
- Quantum Information Science
- Statistical Mechanics
Background:
- Parrondo's paradox describes a counterintuitive phenomenon where combining biased random walks can reverse the overall bias.
- Quantum walks are quantum analogues of classical random walks, offering potential advantages in computation and simulation.
Purpose of the Study:
- To investigate the occurrence of Parrondo's paradox in one-dimensional discrete-time quantum walks.
- To explore the influence of different quantum coin sequences on Parrondo's paradox.
- To analyze the effect of Parrondo's paradox on the time evolution of quantum entanglement.
Main Methods:
- Utilizing one-dimensional discrete-time quantum walks.
- Employing deterministic sequences of two and three quantum coins.
- Analyzing the behavior of quantum walks and the evolution of quantum entanglement.
Main Results:
- Parrondo's paradox was successfully demonstrated in one-dimensional discrete-time quantum walks with both two and three quantum coins.
- The study confirmed the occurrence of Parrondo's paradox under specific deterministic quantum coin sequences.
- The research revealed that Parrondo's paradox influences the dynamics of quantum entanglement in these systems.
Conclusions:
- Parrondo's paradox is a valid phenomenon in quantum walks, extending beyond classical random walks.
- The number of quantum coins and their deterministic sequence play a crucial role in exhibiting Parrondo's paradox.
- The interplay between Parrondo's paradox and quantum entanglement opens new avenues for research in quantum information processing.
Related Concept Videos
The Pauli Exclusion Principle
The Uncertainty Principle
The de Broglie Wavelength
First Law: Particles in One-dimensional Equilibrium
First Law: Particles in Two-dimensional Equilibrium
Newton's first law tells us about...
The Quantum-Mechanical Model of an Atom

