Asymptotic entanglement in 1D quantum walks with a time-dependent coined
arXiv:1012.4566 · doi:10.1142/S0217979212501123
Abstract
Discrete-time quantum walk evolve by a unitary operator which involves two operators a conditional shift in position space and a coin operator. This operator entangles the coin and position degrees of freedom of the walker. In this paper, we investigate the asymptotic behavior of the coin position entanglement (CPE) for an inhomogeneous quantum walk which determined by two orthogonal matrices in one-dimensional lattice. Free parameters of coin operator together provide many conditions under which a measurement perform on the coin state yield the value of entanglement on the resulting position quantum state. We study the problem analytically for all values that two free parameters of coin operator can take and the conditions under which entanglement becomes maximal are sought.
23 pages, 4 figures, accepted for publication in IJMPB. arXiv admin note: text overlap with arXiv:1001.5326 by other authors
References in corpus (10)
- Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
- Spatial search by quantum walk
- DMRG and periodic boundary conditions: a quantum information perspective
- Quantum Simulations of Classical Annealing Processes
- Decoherence vs entanglement in coined quantum walks
- Ground state approximation for strongly interacting systems in arbitrary dimension
- Implementing the one-dimensional quantum (Hadamard) walk using a Bose-Einstein Condensate
- Quantum phase transition using quantum walks in an optical lattice
- Optimal computation with non-unitary quantum walks
- Localization and Fractality in Inhomogeneous Quantum Walks with Self-Duality
Cited by in corpus (14)
- Dynamically Disordered Quantum Walk as a Maximal Entanglement Generator
- Quantum walk as a generalized measuring device
- Entangling Power of Disordered Quantum Walks
- Nonlocality, quantum correlations, and violations of classical realism in the dynamics of two noninteracting quantum walkers
- Asymptotic entanglement in quantum walks from delocalized initial states
- Universal and optimal coin sequences for high entanglement generation in 1D discrete time quantum walks
- Weak disorder enhancing the production of entanglement in quantum walks
- Thermodynamics of N-dimensional quantum walks
- Enhancing entanglement with the generalized elephant quantum walk from localized and delocalized states
- Maximal coin-position entanglement generation in a quantum walk for the third step and beyond regardless of the initial state
- Maximal coin-walker entanglement in a ballistic quantum walk
- Negative correlations can play a positive role in disordered quantum walks
- Quantum walks in two dimensions: controlling directional spreading with entangling coins and tunable disordered step operator
- Spectral analysis of discrete-time quantum walks in the quarter plane