We analyze the performance of two quantum-state-transfer Hamiltonians in the presence of diagonal and off-diagonal disorders, and in terms of different measures. The first Hamiltonian pertains to a fully engineered chain, and the second to a chain with modified boundary couplings. The task is to find which Hamiltonian is the most robust to given levels of disorder and irrespective of the input state. In this respect, it is shown that the performances of the two protocols are approximately equivalent.
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Strictly speaking, for the spin-analogue Hamiltonian one does not need the assumption for the chain to be initially prepared in the ground (vacuum) state. State transfer is expected to take place irrespective of the initial state of the chain, provided that the input spin (site) is initially decorrelated from the rest of the chain (e.g., see chapter 2 in ). The main reason is that the evolution operator at the transfer time reduces to a permutation (up perhaps to an unimportant global phase).
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Pavlis, A.K., Nikolopoulos, G.M. & Lambropoulos, P. Evaluation of the performance of two state-transfer Hamiltonians in the presence of static disorder. Quantum Inf Process 15, 2553–2568 (2016). https://doi.org/10.1007/s11128-016-1287-y
- State transfer
- Quantum communication
- Spin chains