Quantum Pair State Transfer on Graphs

Abstract

Quantum state transfer plays an important role in quantum information processing. A quantum network can be modeled by a graph G where the vertices correspond to the qubits and the edges represent the interactions between them. In a quantum network, we find the dynamics of some pair states with Heisenberg XY Hamiltonian remains unaffected with the change of the total structure. Graphs with perfect state transfer can be taken as analogous components of graph associated to a broad quantum network to obtain perfect pair state transfer.