Quantum Pair State Transfer on Isomorphic Branches

• URL: http://arxiv.org/abs/2402.07078v3
• Date: Sun, 08 Dec 2024 08:01:13 GMT
• Title: Quantum Pair State Transfer on Isomorphic Branches
• Authors: Hiranmoy Pal, Sarojini Mohapatra,
• Abstract summary: The evolution of certain pair state in a quantum network with isomorphic branches, governed by the Heisenberg $XY$ Hamiltonian, depends solely on the local structure. The results are used to unveil the existence of pair state transfer in various graphs, including paths, cycles, and others.
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• Abstract: The evolution of certain pair state in a quantum network with isomorphic branches, governed by the Heisenberg $XY$ 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.

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