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Physica Scripta

Recovering nonlocal advantage of quantum coherence by weak measurement reversal

Guanghao Xue, Liang Qiu

Published Sep 9, 2019• 10 citations
Publisher

Abstract

Abstract We consider the scheme to recover nonlocal advantage of quantum coherence (NAQC) for two-qutrit system which suffer from the amplitude damping noises by using weak measurement reversal. The scope of the decay rate of the noise to achieve NAQC can be obviously extended after the application of weak measurement reversal, i.e. NAQC can be recovered in the region that there is no NAQC. The physical reason for the recovery may be attributed to the probabilistic nature of the scheme as well as the shrinking of the range for the state parameter to achieve NAQC.

DOI
10.1088/1402-4896/ab4294

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Abstract We consider the scheme to recover nonlocal advantage of quantum coherence (NAQC) for two-qutrit system which suffer from the amplitude damping noises by using weak measurement reversal. The scope of the decay rate of the noise to achieve NAQC can be obviously extended after the application of weak measurement reversal, i.e. NAQC can be recovered in the region that there is no NAQC. The physical reason for the recovery may be attributed to the probabilistic nature of the scheme as well as the shrinking of the range for the state parameter to achieve NAQC.
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In the field of quantum information science, quantum steering (QS) and nonlocal advantage of quantum coherence (NAQC) are the core quantum resources, while their practical applications are often limited by the decoherence effect caused by environmental noise in open quantum systems. In this study, we explore the dynamic characteristics of QS and NAQC in non-Markovian environment. It is shown that both QS and NAQC exhibit oscillatory revival, and the amplitude is positively correlated with the purity of the initial state. It is worth mentioning that QS shows greater robustness during recovery, while NAQC decays more significantly under the same conditions. Furthermore, we propose a quantum control strategy based on weak measurement operation and demonstrate that this operation effectively suppresses the decoherence of QS and NAQC in non-Markovian environment.
The important applications of quantum dot system are to implement logic operations and achieve universal quantum computing based on different quantum nonlocalities. Here, we characterize the quantum steering, Bell nonlocality, and nonlocal advantage of quantum coherence (NAQC) of quantum dot system suffering nonunital and unital channels. The results reveal that quantum steering, Bell nonlocality, and NAQC can display the traits of dissipation, enhancement, and freezing. One can achieve the detections of quantum steering, Bell nonlocality, and NAQC of quantum dot system in different situations. Among these quantum nonlocalities, NAQC is the most fragile, and it is most easily influenced by different system parameters. Furthermore, considering quantum dot system coupling with amplitude damping channel and phase damping channel, these quantum nonlocalities degenerate with the enlargement of the channel parameters t and Γ. Remarkably, measurement reversal can effectively control and enhance quantum steering, Bell nonlocality, and NAQC of quantum dot system suffering from decoherence, especially in the scenarios of the amplitude damping channel and strong operation strength.
We investigate the entanglement protection of a hybrid qubit–qutrit system under amplitude damping decoherence by employing weak measurement and reversal. We examine two typical families of initially entangled qubit–qutrit states (i.e. one-parameter and two-parameter qubit–qutrit states). We find that the qubit–qutrit entanglement decays monotonically as the decoherence strength increases, and may go through a sudden death for some initial states. However, we can completely defeat amplitude damping decoherence and recover the initial entanglement perfectly for any initial states by means of the combination of prior weak measurement and subsequent optimal weak measurement reversal. The only price that we have to pay is the very low success probability.
Entanglement of a system changes due to interactions with the environment. A typical type of interaction is amplitude damping. If we add a detector to monitor the environment and only select the no-damping outcome, this amplitude damping is modified into a weak measurement. Here we show that the entanglement change of a two-qubit state due to amplitude damping or weak measurement can be probabilistically reversed. For the amplitude-damping case, the entanglement partially recovers under most conditions. For the weak-measurement case, the recovery of the initial entangled state is exact. The reversal procedure involves another weak measurement, preceded and followed by bit flips applied to both qubits. We propose a linear optics scheme for the experimental demonstration of these procedures.
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.