Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator
arXiv:2209.06252 · doi:10.1088/1751-8121/acbd25
Abstract
We study a 2-D disordered time-discrete quantum walk based on 1-D `generalized elephant quantum walk' where an entangling coin operator is assumed and which paves the way to a new set of properties. We show that considering a given disorder in one direction, it is possible to control the degree of spreading and entanglement in the other direction. This observation helps assert that the random quantum walks of this ilk serve as a controllable decoherence channel with the degree of randomness being the tunable parameter and highlight the role of dimensionality in quantum systems regarding information and transport.
arXiv comment16 pages, 19 figures
References in corpus (49)
- Quantum entanglement
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Quantum Simulation
- Quantifying Coherence
- Quantum random walks - an introductory overview
- Decoherence and disorder in quantum walks: From ballistic spread to localization
- Quantum walks in higher dimensions
- Duality of Quantum Coherence and Path Distinguishability
- The quantum to classical transition for random walks
- Entanglement in coined quantum walks on regular graphs
- Asymptotic evolution of quantum walks with random coin
- Quantum walk on the line: entanglement and non-local initial conditions
- Dynamically Disordered Quantum Walk as a Maximal Entanglement Generator
- Quantum walks with random phase shifts
- Quantum Walks with Entangled Coins
- Entangling Power of Disordered Quantum Walks
- Asymptotic behavior of quantum walks with spatio-temporal coin fluctuations
- Asymptotic entanglement in a two-dimensional quantum walk
- Dynamic-Disorder-Induced Enhancement of Entanglement in Photonic Quantum Walks
- One-dimensional quantum random walks with two entangled coins
- Random Time-Dependent Quantum Walks
- Quantum walks with memory - goldfish, elephants and wise old men
- Two-dimensional quantum walk under artificial magnetic field
- Quantum walks with sequential aperiodic jumps
- The Elephant Quantum Walk
- Generation of hybrid maximally entangled states in a one-dimensional quantum walk
- Aperiodic space-inhomogeneous quantum walks: localization properties, energy spectra and enhancement of entanglement
- Genuine Parrondo's paradox in quantum walks with time-dependent coin operators
- Asymptotic entanglement in 1D quantum walks with a time-dependent coined
- Extraordinary behaviors in two-dimensional decoherent alternative quantum walk
- Universal and optimal coin sequences for high entanglement generation in 1D discrete time quantum walks
- Generating highly entangled states via discrete-time quantum walks with Parrondo sequences
- Disorder induced localization and enhancement of entanglement in one- and two-dimensional quantum walks
- Weak disorder enhancing the production of entanglement in quantum walks
- Multiple transitions between normal and hyperballistic diffusion in quantum walks with time-dependent jumps
- Classical-like behavior in quantum walks with inhomogeneous, time-dependent coin operators
- Quantum Walk with Jumps
- Accelerated quantum walk, two-particle entanglement generation and localization
- Maximal coin-position entanglement generation in a quantum walk for the third step and beyond regardless of the initial state
- Scaling and crossover behaviour in a truncated long range quantum walk
- Enhancing entanglement with the generalized elephant quantum walk from localized and delocalized states
- Maximal coin-walker entanglement in a ballistic quantum walk
- Negative correlations can play a positive role in disordered quantum walks
- Inhibition of spreading in quantum random walks due to quenched Poisson-distributed disorder
- Unusual scaling in a discrete quantum walk with random long range steps
- Persistent quantum walks: dynamic phases and diverging timescales
- One-dimensional quantum walks driven by two-entangled-qubit coins
- A quantum walk simulation of extra dimensions with warped geometry