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Laser Physics

Environment-assisted high-dimensional quantum entanglement restoration via weak measurement reversal

Qiong Wang, Lan Xu, Wenjuan Li, Zhi He

Published May 4, 2020• 1 citation
Publisher

Abstract

Abstract Based on the quantum technique of environment-assisted measurement and reversal (EMR), we propose a scheme to restore the qutrit–qutrit entanglement from amplitude-phase damping decoherence. By solving the master equation, we get the exact analytical or numerical simulation expressions of the optimal final restoration, showing explicitly that the EMR does indeed restore the qutrit-qutrit entanglement to the original value. This sheds new light on the protection of high-dimensional quantum entanglement in a complex quantum environment.

DOI
10.1088/1555-6611/ab8124

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Abstract Based on the quantum technique of environment-assisted measurement and reversal (EMR), we propose a scheme to restore the qutrit–qutrit entanglement from amplitude-phase damping decoherence. By solving the master equation, we get the exact analytical or numerical simulation expressions of the optimal final restoration, showing explicitly that the EMR does indeed restore the qutrit-qutrit entanglement to the original value. This sheds new light on the protection of high-dimensional quantum entanglement in a complex quantum environment.
Abstract Based on the quantum technique of environment-assisted measurement and reversal (EMR), we propose a scheme to restore the entanglement from amplitude damping decoherence. In particular, we examine two typical families of initially entangled qubit–qutrit states and derive the exact analytical expressions of the optimal final restoration, showing explicitly that the EMR does indeed can recovery qubit–qutrit entanglement. This sheds new light on the protection of high-dimensional quantum entanglement in complex quantum environment.
Abstract Decoherence suppression from disturbance of the environment is an essential task in quantum information processing. We investigate the restoration of a qutrit system interacting with a zero-temperature reservoir from amplitude-phase decoherence sources by employing the environment-assisted measurement and reversal (EMR) operation. In particular, by solving the master equation, we get the exact analytical or numerical simulations expressions of the optimal final restoration, showing explicitly that the EMR does indeed can recovery qutrit states.
Abstract Entangled states with high-dimensional systems have been investigated widely because of its various advantages. This paper investigates the effect of the weak measurement and reversal (WMR) on the protection of the entanglement for an arbitrarily entangled qutrit–qutrit state from the amplitude-phase decoherence sources. By solving the master equation of the qutrit–qutrit system, we numerically get the maximal amount of entanglement. The numerical results show explicitly that the WMR operation indeed helps for protecting entanglement from amplitude-phase decoherence. In particular, WMR can protect entanglement more efficiently in the case of strong decay rates than those with small decay rates. These results shed new light on the protection of high-dimensional quantum entanglement in a complex quantum environment.
Abstract Based on the quantum technique of environment-assisted measurement and quantum measurement reversal, we systematically investigate the restoration of quantum entanglement for distributing a two-qubit pure state via three typical kinds of noisy quantum channels-amplitude damping, phase damping and depolarizing quantum channels. Special attention is paid to the unsymmetrical two-qubit arbitrarily entangled states transmission. The analytical or numerical simulations results show that for arbitrarily one-qubit entangled state or two-qubit states transmission, the output distant entanglement could be drastically restored to the initial value in all these three cases.
Abstract We examine the validity of the environment-assisted measurement (EAM) and quantum measurement reversal (QMR) operation in the restoration of distributed entanglement for an arbitrarily entangled bipartite pure state under three kinds of typical noisy quantum channels. We derive the exact expressions of the optimal final quantum entanglement, show explicitly that the EAM and QMR operation indeed helps for recovering the distributed entanglement from amplitude damping, phase damping and depolarizing. Comparing with the results obtained by the method of weak measurement and QMR, our results show notable superiorities on adaptation scope and success probability.
Abstract We examine the validity of the environment-assisted measurement (EAM) and quantum measurement reversal (QMR) operations in the restoration of distributed entanglement for two-qubit transmission under three typical kinds of noisy quantum channels, i.e. an amplitude damping channel, a phase damping channel and a depolarizing quantum channel. Given the parameters of the Bell-like initial qubits’ state and , we derive exact expressions for the optimal final quantum entanglement, showing explicitly that combining the EAM and QMR operations does indeed help in recovering the distributed entanglement from the various decoherence sources. Comparing with the results obtained using the weak measurement and QMR method, our results show notable superiorities in adaptation scope and success probability.