M-neighbor approximation in one-qubit state transfer along zigzag and alternating spin-1/2 chains

• URL: http://arxiv.org/abs/2301.09464v1
• Date: Mon, 23 Jan 2023 14:52:40 GMT
• Title: M-neighbor approximation in one-qubit state transfer along zigzag and alternating spin-1/2 chains
• Authors: E.B.Fel'dman and A.I.Zenchuk
• Abstract summary: We show that always $M>1$, i.e., the nearest neighbor approximation is not applicable to such interaction. We reveal the region in the parameter space characterizing the chain geometry and orientation which provide the high-probability state-transfer.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the $M$-neighbor approximation in the problem of one-qubit pure state transfer along the $N$-node zigzag and alternating spin chains governed by the $XXZ$-Hamiltonian with the dipole-dipole interaction. We show that always $M>1$, i.e., the nearest neighbor approximation is not applicable to such interaction. Moreover, only all-node interaction ($M=N-1$) properly describes the dynamics in the alternating chain. We reveal the region in the parameter space characterizing the chain geometry and orientation which provide the high-probability state-transfer. The optimal state-transfer probability and appropriate time instant for the zigzag and alternating chains are compared.

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