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Quantum Pair State Transfer on Isomorphic Branchesby@isomorphism

Quantum Pair State Transfer on Isomorphic Branches

by IsomorphismJune 19th, 2024
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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. All graphs with high-fidelity vertex state transfer may be considered as isomorphic branches of the graph underlying a large quantum network.
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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.




FIG. 1. The path P5 and its perturbation.


ACKNOWLEDGMENTS

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

References

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