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Journal of Physics A Mathematical and Theoretical

Enhanced entanglement transfer by phase-shift control in two parallel Heisenberg spin chains

Zhao-Ming Wang, Shao Bin, Chang Ping, Zou Jian

Published Jul 12, 2007• 11 citations
Publisher

Abstract

We investigate the effect of phase shift on the entanglement transfer in two parallel 1D spin chains. We calculate the concurrence, measures for two-qubit entanglement, as a function of time. We find the maximum achievable entanglement in the cases with and without phase shift. Although the entanglement transfer becomes slow in most cases with phase shift, the significant enhancement of the maximum achievable entanglement is obtained which suggests its potential usefulness in quantum information processing.

DOI
10.1088/1751-8113/40/30/026

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We investigate the effect of phase shift on the entanglement transfer in two parallel 1D spin chains. We calculate the concurrence, measures for two-qubit entanglement, as a function of time. We find the maximum achievable entanglement in the cases with and without phase shift. Although the entanglement transfer becomes slow in most cases with phase shift, the significant enhancement of the maximum achievable entanglement is obtained which suggests its potential usefulness in quantum information processing.
We study the effect of a phase shift on the amount of transferable two-spin entanglement in a spin chain. We consider a ferromagnetic Heisenberg or XYXYXY spin chain, both numerically and analytically, and two mechanisms to generate a phase shift, the Aharonov-Casher effect, and the Dzyaloshinskii-Moriya interaction. In both cases, the maximum attainable entanglement is shown to be significantly enhanced, suggesting its potential usefulness in quantum information processing.
The effect of weak measurement (WM) and quantum measurement reversal (QMR) on the entanglement transfer in two parallel Heisenberg spin chains is investigated. We find that the entanglement transfer can be enhanced by the WM and QMR control for different N ( N is the length of each spin chain) and m ( m denotes the m th spin pair). More interestingly, we also find that, in the thermodynamic limit where the so-called phase-shift control is invalid, the WM and QMR control is instead very effective. So this investigation indicates that the WM and QMR approach has potential applications in quantum information processing based on the spin chain.
Transmitting quantum states and entanglement through quantum channels is one of the key requirements for the development of quantum computation. Quantum discord has received much attention in quantum computation. We transfer quantum discord through two parallel XXZ spin chains with phase shift. The maximum discord can be enhanced by the phase shift. It will take more time to obtain an enhanced maximum discord in some cases, but for other cases, both the maximum and speed are enhanced by the phase shift. In the thermodynamic limit, the effect of the phase shift disappears and the maximum discord exponentially decays with increasing of the receiving position. Our results on spin chains are generalized to a family of linear Hamiltonians.
Abstract The effect of the parity–time ( PT ) symmetry operation on the entanglement transfer in two parallel Heisenberg spin chains is investigated. We give two schemes, i.e. pre- and post- PT symmetric operations, to demonstrate the performance of the PT symmetric operation on the entanglement dynamics of two qubits. In our investigation, we find that the effect of pre- PT symmetric operation schemes on the protection of entanglement of two qubits in the case of double spin chains is superior to that of the single spin chain case. Conversely, the effect of the post- PT symmetric operation scheme on the protection of entanglement of two qubits in the single spin chain case is better than that in the double spin chain case.