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Laser Physics Letters

Enhancing the nonlocal advantage of quantum coherence by local parity-time ( PT )-symmetric operation

Long-Fei Wang, Ming‐Ming Du, Wen‐Yang Sun, Dong Wang, Liu Ye

Published Apr 12, 2019• 23 citations
Publisher

Abstract

Abstract In this letter, we explore the dynamics and protection of nonlocal advantage of quantum coherence (NAQC) for an entangled two-qubit system subjected to a noisy environment by performing parity-time ( PT ) symmetric operations on one of the two particles. For comparison, we investigate the protection of Bell nonlocality, quantum coherence, and entanglement by local PT- symmetric operations. Here, we show that the NAQC, Bell nonlocality, quantum coherence, and entanglement of a bipartite entangled state can be improved effectively by the local PT -symmetric operation and verify that the protection effect is better with the increase of PT- symmetric operation strength.

DOI
10.1088/1612-202x/aafd1e

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Abstract In this letter, we explore the dynamics and protection of nonlocal advantage of quantum coherence (NAQC) for an entangled two-qubit system subjected to a noisy environment by performing parity-time ( PT ) symmetric operations on one of the two particles. For comparison, we investigate the protection of Bell nonlocality, quantum coherence, and entanglement by local PT- symmetric operations. Here, we show that the NAQC, Bell nonlocality, quantum coherence, and entanglement of a bipartite entangled state can be improved effectively by the local PT -symmetric operation and verify that the protection effect is better with the increase of PT- symmetric operation strength.
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Abstract The dynamic behavior of the relative entropy of coherence for a two-level system is systematically investigated within non-Markovian environment. We derive the exact expressions of relative entropy quantifying coherence for an exactly solving model consisting of single qubit interacting with independent structured reservoir. By employing local non-Hermitian operation, i.e. parity-time ( PT ) symmetric operation, we show that the vanished quantum coherence can be effectively restored under the non-Markovian regimes. Furthermore, the freezing phenomenon of the coherence can be detected by using the optimal PT symmetric operation strength within the non-Markovian environments.
Abstract The non-local advantage of quantum coherence (NAQC) is regarded as a quantum correlation, which can be reflected by the violation of a set of inequalities based on various coherence measures. In this work, we explore the NAQC and Bell nonlocality (BN) in a two-qubit Heisenberg XYZ model. The results show that one can capture the BN in the case of both anti-ferromagnetism and ferromagnetism. By contrast, the NAQC cannot be achieved in the ferromagnetism case if the magnetic field is strong. Increases of inhomogeneity and temperature give rise to reductions of the NAQC and BN, and the achievement of the NAQC at high inhomogeneity or temperatures becomes very difficult. Also, the NAQC and BN strengthen with an increase of the mean coupling coefficient. A strong mean coupling coefficient leads to the freezing of the NAQC and BN when the inhomogeneity is low. The enhancement of the magnetic field can result in the fact that the NAQC and BN experience four processes, including reduction, sudden death, revival, and reduction. Additionally, the BN is easier to capture than the NAQC. Furthermore, we focus our attention on controlling the NAQC and BN via a local filtering operation. The results demonstrate that the operation can effectively strengthen the NAQC and BN, and can also help us to control the NAQC and BN in the Heisenberg XYZ chain.
Quantum coherence and nonlocality capture the nature of quantumness from different aspects. For the two-qubit states with a diagonal correlation matrix, we prove strictly a hierarchy between the nonlocal advantage of quantum coherence (NAQC) and Bell nonlocality by showing geometrically that the NAQC created on one qubit by local measurement on another qubit captures quantum correlation which is stronger than Bell nonlocality. For general states, our numerical results present strong evidence that this hierarchy may still hold. So the NAQC states form a subset of the states that can exhibit Bell nonlocality. We further propose a measure of NAQC that can be used for a quantitative study of it in bipartite states.
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.