An algorithm to factorize quantum walks into shift and coin operations
arXiv:2102.12951 · doi:10.1007/s11005-022-01578-3
Abstract
We provide an algorithm that factorizes one-dimensional quantum walks into a protocol of two basic operations: A fixed conditional shift that transports particles between cells and suitable coin operators that act locally in each cell. This allows to tailor quantum walk protocols to any experimental setup by rephrasing it on the cell structure determined by the experimental limitations. We give the example of a walk defined on a qutrit chain compiled to run an a qubit chain.
4 pages
References in corpus (7)
- Quantum walks of correlated particles
- Exploring Topological Phases With Quantum Walks
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- Symmetries, Topological Phases and Bound States in the One-Dimensional Quantum Walk
- Nearest-Neighbor Detection of Atoms in a 1D Optical Lattice by Fluorescence Imaging
- A composite parameterization of unitary groups, density matrices and subspaces
- Localization and Fractality in Inhomogeneous Quantum Walks with Self-Duality