A graph with fractional revival
arXiv:1710.02705 · doi:10.1016/j.physleta.2017.12.001
Abstract
An example of a graph that admits balanced fractional revival between antipodes is presented. It is obtained by establishing the correspondence between the quantum walk on a hypercube where the opposite vertices across the diagonals of each face are connected and, the coherent transport of single excitations in the extension of the Krawtchouk spin chain with next-to-nearest neighbour interactions.
16 pages
References in corpus (6)
- Perfect Transfer of Arbitrary States in Quantum Spin Networks
- Quantum Communication through Spin Chain Dynamics: an Introductory Overview
- Mirror Inversion of Quantum States in Linear Registers
- Coherent Quantum Transport in Photonic Lattices
- Recurrence properties of unbiased coined quantum walks on infinite -dimensional lattices
- Perfect wave-packet splitting and reconstruction in a one-dimensional lattice