Discrete Time Quantum Walk Approach to State Transfer
arXiv:1103.4185 · doi:10.1103/PhysRevA.83.062315
Abstract
We show that a quantum state transfer, previously studied as a continuous time process in networks of interacting spins, can be achieved within the model of discrete time quantum walks with position dependent coin. We argue that due to additional degrees of freedom, discrete time quantum walks allow to observe effects which cannot be observed in the corresponding continuous time case. First, we study a discrete time version of the engineered coupling protocol due to Christandl et. al. [Phys. Rev. Lett. 92, 187902 (2004)] and then discuss the general idea of conversion between continuous time quantum walks and discrete time quantum walks.
9 pages, 6 figures, comments welcome
References in corpus (5)
Cited by in corpus (35)
- Quantum walks: a comprehensive review
- Perfect state transfer and efficient quantum routing: a discrete-time quantum walk approach
- Perfect state transfer by means of discrete-time quantum walk search algorithms on highly symmetric graphs
- Perfect state transfer by means of discrete-time quantum walk on complete bipartite graphs
- Qubit state transfer via discrete-time quantum walks
- Persistence of Topological Phases in Non-Hermitian Quantum Walks
- Quantum and random walks as universal generators of probability distributions
- Generating highly entangled states via discrete-time quantum walks with Parrondo sequences
- Almost perfect transport of an entangled two-qubit state through a spin chain
- Almost perfect transmission of multipartite entanglement through disordered and noisy spin chains
- Highly noise resistant multipartite quantum correlations
- Discrete time quantum walk with nitrogen-vacancy centers in diamond coupled to a superconducting flux qubit
- Single-point position and transition defects in continuous time quantum walks
- One-Dimensional Quantum Walks with a Position-Dependent Coin
- Percolation assisted excitation transport in discrete-time quantum walks
- Quantum walk based state transfer algorithms on the complete M-partite graph
- Robust and efficient transport of two-qubit entanglement via disordered spin chains
- Noise-enhanced quantum transport on a closed loop using quantum walks
- Quantum state transfer on the complete bipartite graph
- Quantum Corralling
- An Infinite Family of Circulant Graphs with Perfect State Transfer in Discrete Quantum Walks
- Quantum walk state transfer on a hypercube
- Entanglement entropy distinguishes PT-symmetry and topological phases in a class of non-unitary quantum walks
- High-fidelity state transfer via quantum walks from delocalized states
- Non-markovianity and bound states in quantum walks with a phase impurity
- Nonlinear three-state quantum walks
- Universal dynamical scaling laws in three-state quantum walks
- Quantum walk-based protocol for secure communication between any two directly connected nodes on a network
- Quantum Simulation of Neutrino Oscillation and Dirac Particle Dynamics in Curved Space-time
- Search and state transfer between hubs by quantum walks
- Perfect state transfer using Markovian quantum walk
- Topological quantum walks in cavity-based quantum networks
- Persistence of unvisited sites in quantum walks on a line
- Response to glassy disorder in coin on spread of quantum walker
- Quantum state transfer and periodicity in discrete-time quantum walks under non--Markovian dephasing noise