同构分支上的量子对态传输
Quantum Pair State Transfer on Isomorphic Branches
AI总结：
研究同构分支量子网络中对态传输特性，发现其演化仅依赖局部结构，且高保真顶点态传输图可作为同构分支实现高保真对态传输，还揭示了多种图中对态传输的存在性。
摘要：
在具有同构分支的量子网络中，由海森堡XY哈密顿量控制的特定对态演化仅取决于局部结构，即使全局结构改变也不受影响。所有能实现高保真顶点态传输的图，都可作为量子网络的同构分支以展现高保真对态传输。该结果用于揭示路径、环等多种图中对态传输的存在性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
