High-Probability Quantum State Transfer between nodes of an Open Chain of 1/2 Spins with ${XXZ}$ HamiltonianHigh-Probability Quantum State Transfer between nodes of an Open Chain of 1/2 Spins with ${XXZ}$ Hamiltonian

Edward B. Fel’dman, Alexander Ivanovich Zenchuk

This paper concerns the problem of the high probability state transfer (HPST) among different nodes of the chains of 1/2-spins with the ${XXZ}$ Hamiltonian. This effect is possible due to the suitably distributed weak bonds in the chain. We show that the arbitrary initial state may be transfered with the high probability to any node of the four-node chain with strong end bonds. Varying bonds in the six-node chain one can provide the HPSTs among two end nodes and two symmetrically placed inner nodes. We also construct the eight-node chain with the HPSTs among all of them.This paper concerns the problem of the high probability state transfer (HPST) among different nodes of the chains of 1/2-spins with the ${XXZ}$ Hamiltonian. This effect is possible due to the suitably distributed weak bonds in the chain. We show that the arbitrary initial state may be transfered with the high probability to any node of the four-node chain with strong end bonds. Varying bonds in the six-node chain one can provide the HPSTs among two end nodes and two symmetrically placed inner nodes. We also construct the eight-node chain with the HPSTs among all of them.

Sep 11, 20080 citations

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

Edward B. Fel’dman, Alexander Ivanovich Zenchuk

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.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.

arXiv:2301.09464Physica ScriptaJul 26, 20223 citations

Controlled quantum state transfer in XX spin chains at the Quantum Speed Limit

Diego S Acosta Coden, Sergio S. Gómez, Alejandro Ferrón +1 more

arXiv:2005.07819Physics Letters ANov 16, 202018 citations

Quantum state transfer via a two-qubit Heisenberg XXZ spin model

Jia Liu, Guo‐Feng Zhang, Ziyu Chen

Physics Letters AJan 16, 20088 citations

High-Probability Quantum State Transfer between nodes of an Open Chain of 1/2 Spins with

{XXZ}

Hamiltonian

This paper concerns the problem of the high probability state transfer (HPST) among different nodes of the chains of 1/2-spins with the

{XXZ}

Hamiltonian. This effect is possible due to the suitably distributed weak bonds in the chain. We show that the arbitrary initial state may be transfered with the high probability to any node of the four-node chain with strong end bonds. Varying bonds in the six-node chain one can provide the HPSTs among two end nodes and two symmetrically placed inner nodes. We also construct the eight-node chain with the HPSTs among all of them.