Playing a true Parrondo's game with a three state coin on a quantum walk
arXiv:1710.04033 · doi:10.1209/0295-5075/122/40004
Abstract
Playing a Parrondo's game with a qutrit is the subject of this paper. We show that a true quantum Parrondo's game can be played with a 3 state coin(qutrit) in a 1D quantum walk in contrast to the fact that playing a true Parrondo's game with a 2 state coin(qubit) in 1D quantum walk fails in the asymptotic limits.
arXiv comment7 pages, 9 figures, accepted for publication in EPL (Euro Physics Letters)
References in corpus (14)
- A Quantum Random Walk Search Algorithm
- Universal computation by quantum walk
- Quantum walks: a comprehensive review
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- One-Dimensional Three-State Quantum Walk
- Manipulating biphotonic qutrits
- Brownian motion and gambling: from ratchets to paradoxical games
- Weak Limit of the 3-State Quantum Walk on the Line
- Limit distributions of three-state quantum walks: the role of coin eigenstates
- Implementing Parrondo's paradox with two coin quantum walks
- Topological bound states of a quantum walk with cold atoms
- Fermion confinement via Quantum Walks in 2D+1 and 3D+1 spacetime
- Localization and limit laws of a three-state alternate quantum walk on a two-dimensional lattice
- Parrondo's paradox and superactivation of classical and quantum capacity of communication channels with memory
Cited by in corpus (11)
- Genuine Parrondo's paradox in quantum walks with time-dependent coin operators
- Photonic quantum walks with four-dimensional coins
- Generating highly entangled states via discrete-time quantum walks with Parrondo sequences
- Order from chaos in quantum walks on cyclic graphs
- Parrondo's effect in continuous-time quantum walks
- Parrondo's paradox in quantum walks with inhomogeneous coins
- Parrondo's effects with aperiodic protocols
- Localization of space-inhomogeneous three-state quantum walks
- Spectral Magnetization Ratchets with Discrete Time Quantum Walks
- Enhanced spreading in continuous-time quantum walks using aperiodic temporal modulation of defects
- Spectral analysis of three-state quantum walks with general coin matrices