Implementation of a spatial two-dimensional quantum random walk with tunable decoherence
arXiv:1207.4087 · doi:10.1103/PhysRevA.86.052327
Abstract
We put forward a new, versatile and highly-scalable experimental setup for the realization of discrete two-dimensional quantum random walks with a single-qubit coin and tunable degree of decoherence. The proposed scheme makes use of a small number of simple optical components arranged in a multi-path Mach-Zehnder-like configuration, where a weak coherent state with average photon number of 1 is injected. Environmental effects (decoherence) are generated by a spatial light modulator, which introduces pure dephasing in the transverse spatial plane, perpendicular to the direction of propagation of the light beam. By controlling the characteristics of this dephasing, one can explore a great variety of scenarios of quantum random walks: pure quantum evolution (ballistic spread), fast fluctuating environment leading to a diffusive classical random walk, and static disorder resulting in the observation of Anderson localization.
References in corpus (22)
- Quantum random walks - an introductory overview
- Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
- A Quantum Random Walk Search Algorithm
- Quantum walks of correlated particles
- Dephasing assisted transport: Quantum networks and biomolecules
- Environment-Assisted Quantum Transport
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Two-particle bosonic-fermionic quantum walk via 3D integrated photonics
- Realization of quantum walks with negligible decoherence in waveguide lattices
- Realization of a quantum walk with one and two trapped ions
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Discrete single-photon quantum walks with tunable decoherence
- Decoherence and disorder in quantum walks: From ballistic spread to localization
- Experimental Implementation of the Quantum Random-Walk Algorithm
- Localization of Two-Dimensional Quantum Walks
- Topological phases and delocalization of quantum walks in random environments
- Limit distributions of two-dimensional quantum walks
- Mimicking the probability distribution of a two-dimensional Grover walk with a single-qubit coin
- One dimensional quantum walk with unitary noise
- Quantum walks with random phase shifts
- Alternate two-dimensional quantum walk with a single-qubit coin
- Quantum Walk with a four-dimensional coin
Cited by in corpus (19)
- Quantum transport simulations in a programmable nanophotonic processor
- Entangled Photon-Pair Sources based on three-wave mixing in bulk crystals
- Experimental realisation of a delayed-choice quantum walk
- Edge-state enhanced transport in a 2-dimensional quantum walk
- Noise-assisted energy transport in electrical oscillator networks with off-diagonal dynamical disorder
- Localisation, delocalisation, and topological transitions in disordered 2D quantum walks
- Multiphoton Discrete Fractional Fourier Dynamics in Waveguide Beam Splitters
- Photonic Mpemba effect
- Extraordinary behaviors in two-dimensional decoherent alternative quantum walk
- Localization in Quantum Walks on a Honeycomb Network
- Discrete time quantum walks on percolation graphs
- Percolation induced effects in 2D coined quantum walks: analytic asymptotic solutions
- Entropy rate of message sources driven by quantum walks
- Characterization of a spatial light modulator as a polarization quantum channel
- Strongly trapped two-dimensional quantum walks
- Edge states in a two-dimensional quantum walk with disorder
- Localization-like effect in two-dimensional alternate quantum walks with periodic coin operations
- Measurement-based tailoring of Anderson localization of partially coherent light
- Response to glassy disorder in coin on spread of quantum walker