Universal and optimal coin sequences for high entanglement generation in 1D discrete time quantum walks
arXiv:2003.07141 · doi:10.1088/1751-8121/abb54d
Abstract
Entanglement is a key resource in many quantum information applications and achieving high values independently of the initial conditions is an important task. Here we address the problem of generating highly entangled states in a discrete time quantum walk irrespective of the initial state using two different approaches. First, we present and analyze a deterministic sequence of coin operators which produces high values of entanglement in a universal manner for a class of localized initial states. In a second approach, we directly optimize the sequence of coin operators using a reinforcement learning algorithm. While the amount of entanglement produced by the deterministic sequence is fully independent of the initial states considered, the optimized sequences achieve in general higher average values of entanglement that do however depend on the initial state parameters. Our proposed sequence and optimization algorithm are especially useful in cases where the initial state is not fully known or entanglement has to be generated in a universal manner for a range of initial states.
arXiv comment9 pages, 6 figures, published in Journal of Physics A: Mathematical and Theoretical
References in corpus (46)
- Quantum entanglement
- Machine learning and the physical sciences
- Quantum random walks - an introductory overview
- Quantum walks: a comprehensive review
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Photonic quantum information processing: a review
- Twisted Photons: New Quantum Perspectives in High Dimensions
- Realization of a quantum walk with one and two trapped ions
- Anderson localization of entangled photons in an integrated quantum walk
- Quantum walk of a trapped ion in phase space
- Strongly Correlated Quantum Walks in Optical Lattices
- Reinforcement Learning in Different Phases of Quantum Control
- Experimental Implementation of Discrete Time Quantum Random Walk on an NMR Quantum Information Processor
- Quantum walks in higher dimensions
- Experimental Implementation of the Quantum Random-Walk Algorithm
- Reinforcement Learning with Neural Networks for Quantum Feedback
- Photonic quantum walk in a single beam with twisted light
- Quantum walks and wavepacket dynamics on a lattice with twisted photons
- Quantum Walks driven by many coins
- Quantum speedup for active learning agents
- Quantum Walk on a Line with Two Entangled Particles
- Entanglement in coined quantum walks on regular graphs
- Aperiodic Quantum Random Walks
- Optimizing the discrete time quantum walk using a SU(2) coin
- Observing Topological Invariants Using Quantum Walk in Superconducting Circuits
- Experimental engineering of arbitrary qudit states with discrete-time quantum walks
- Dynamically Disordered Quantum Walk as a Maximal Entanglement Generator
- Reinforcement learning for autonomous preparation of Floquet-engineered states: Inverting the quantum Kapitza oscillator
- Symmetries and noise in quantum walk
- Hybrid photonic entanglement: Realization, characterization and applications
- Entangling Power of Disordered Quantum Walks
- Quantum state engineering using one-dimensional discrete-time quantum walks
- Dynamic-Disorder-Induced Enhancement of Entanglement in Photonic Quantum Walks
- Topological bound states of a quantum walk with cold atoms
- Experimental realization of quantum teleportation using coined quantum walks
- Generation of hybrid maximally entangled states in a one-dimensional quantum walk
- Dynamics and energy spectra of aperiodic discrete-time quantum walks
- Bounds on the dynamics of periodic quantum walks and emergence of the gapless and gapped Dirac equation
- Asymptotic entanglement in 1D quantum walks with a time-dependent coined
- Photonic Discrete-time Quantum Walks and Applications
- Chirality asymptotic behavior and non-Markovianity in quantum walks on a line
- Hyper- and hybrid nonlocality
- Connecting velocity and entanglement in quantum walks
- An efficient protocol of quantum walk in circuit QED
- Quantum direct communication protocols using discrete-time quantum walk
- Quantum Walks With Neutral Atoms: Quantum Interference Effects of One and Two Particles
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