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
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Cited by in corpus (10)
- Multipartite information of free fermions on Hamming graphs
- Fractional revival between twin vertices
- Quantum Walks on Graphs of the Ordered Hamming Scheme and Spin Networks
- Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials
- Approximate quantum fractional revival in paths and cycles
- A -version of the relation between the hypercube, the Krawtchouk chain and Dicke states
- Fractional Revival and Association Schemes
- Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials
- Quantum carpets from Gaussian sum theory
- Entanglement of free-fermion systems, signal processing and algebraic combinatorics