Spatial entanglement using a quantum walk on a many-body system

Abstract

The evolution of a many-particle system on a one-dimensional lattice, subjected to a quantum walk can cause spatial entanglement in the lattice position, which can be exploited for quantum information/communication purposes. We demonstrate the evolution of spatial entanglement and its dependence on the quantum coin operation parameters, the number of particles present in the lattice and the number of steps of quantum walk on the system. Thus, spatial entanglement can be controlled and optimized using a many-particle discrete-time quantum walk.

13 pages, 10 figures. Published version

References in corpus (18)

• Quantum entanglement
• Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
• Quantum Walk in Position Space with Single Optically Trapped Atoms
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Realization of quantum walks with negligible decoherence in waveguide lattices
• Connecting the discrete and continuous-time quantum walks
• Multipartite Entanglement Signature of Quantum Phase Transitions
• Mixed state sensitivity of several quantum information benchmarks
• Optimizing the discrete time quantum walk using a SU(2) coin
• Entanglement generation between distant atoms by Lyapunov control
• Implementing the one-dimensional quantum (Hadamard) walk using a Bose-Einstein Condensate
• Quantum phase transition using quantum walks in an optical lattice
• Ultracold molecules: vehicles to scalable quantum information processing
• An Experimentally accessible geometric measure for entanglement in $N$-qubit pure states
• Spatial Entanglement From Off-Diagonal Long Range Order in a BEC
• Quantum random walks using quantum accelerator modes
• Transport and Entanglement Generation in the Bose-Hubbard Model
• Generic quantum walk using a coin-embedded shift operator

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• Dynamically Disordered Quantum Walk as a Maximal Entanglement Generator
• Multi-walker discrete time quantum walks on arbitrary graphs, their properties, and their photonic implementation
• Alternate two-dimensional quantum walk with a single-qubit coin
• Entangling Power of Disordered Quantum Walks
• Survival probability in a one-dimensional quantum walk on a trapped lattice
• Quantum correlations in continuos-time quantum walks of two indistinguishable particles
• Nonlocality, quantum correlations, and violations of classical realism in the dynamics of two noninteracting quantum walkers
• Asymptotic entanglement in 1D quantum walks with a time-dependent coined
• Entanglement dynamics and quasi-periodicity in discrete quantum walks
• Asymptotic properties of the Dirac quantum cellular automaton
• Maximal entanglement from quantum random walks
• Quantum walk on distinguishable non-interacting many-particles and indistinguishable two-particle
• Quantum walk on a cylinder
• Decoherence on a two-dimensional quantum walk using four- and two-state particle
• Entanglement generation in spatially separated systems using quantum walk
• Noise-enhanced quantum transport on a closed loop using quantum walks
• Entanglement transfer via Chiral Quantum Walk on a Triangular Chain
• Transport and Localization in Quantum Walks on a Random Hierarchy of Barriers
• Optimization for the propagation of a multiparticle quantum walk in a one-dimensional lattice