Quantum Pair State Transfer on Isomorphic Branches
Quantum Physics
2024-12-10 v3 Combinatorics
Abstract
The evolution of certain pair state in a quantum network with isomorphic branches, governed by the Heisenberg Hamiltonian, depends solely on the local structure, and it remains unaffected even if the global structure is altered. All graphs which enable high-fidelity vertex state transfer can be considered as isomorphic branches of a quantum network to exhibit high-fidelity pair state transfer. The results are used to unveil the existence of pair state transfer in various graphs, including paths, cycles, and others.
Cite
@article{arxiv.2402.07078,
title = {Quantum Pair State Transfer on Isomorphic Branches},
author = {Hiranmoy Pal and Sarojini Mohapatra},
journal= {arXiv preprint arXiv:2402.07078},
year = {2024}
}