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by IsomorphismJune 19th, 2024

**Author:**

(1) Hiranmoy Pal, National Institute of Technology Rourkela, Odisha-769008, India.

Introduction, Acknowledgments and References

Quantum state transfer plays an important role in quantum information processing. The evolution of certain pair states in a quantum network with Heisenberg XY Hamiltonian depends only on the local structure of the network, and it remains unchanged even if the global structure is altered. All graphs with high-fidelity vertex state transfer may be considered as isomorphic branches of the graph underlying a large quantum network to exhibit high-fidelity pair state transfer. Among other graphs, one may construct infinite family of trees admitting perfect pair state transfer.

The research is funded by Science and Engineering Research Board (Project: SRG/2021/000522).

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This paper is available on arxiv under CC BY 4.0 DEED license.

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