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Laser Physics

Protecting the quantum state from a finite temperature decoherence source by parity-time symmetric operation

Yang Leng, Yang Li

Published Dec 23, 2021• 4 citations
Publisher

Abstract

Abstract We examine the validity of the parity-time ( P T )-symmetric operation in protecting quantum state and entanglement in the non-zero temperature environment. Special attention is paid to the dependence of quantum fidelity and entanglement on the temperature. In particular, by solving the master equation, we get the exact analytical or numerical simulation expressions of the explicit formulas of protection, showing explicitly that P T -symmetric operation does indeed help in protecting quantum state from finite temperature decoherence.

DOI
10.1088/1555-6611/ac42d3

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Abstract We examine the validity of the parity-time ( P T )-symmetric operation in protecting quantum state and entanglement in the non-zero temperature environment. Special attention is paid to the dependence of quantum fidelity and entanglement on the temperature. In particular, by solving the master equation, we get the exact analytical or numerical simulation expressions of the explicit formulas of protection, showing explicitly that P T -symmetric operation does indeed help in protecting quantum state from finite temperature decoherence.
Abstract This paper explores enhancing quantum dense coding capacity in finite-temperature decoherence environments via parity-time ( PT ) symmetric operations. We derive the master equation for a two-qubit system in a thermal bath, analyzing dense coding dynamics with and without PT symmetry operations. Without PT operations, the quantum dense coding capacity is highly sensitive to temperature parameter and decoherence rate, losing its advantage at high temperatures. Introducing a local PT symmetric operation on one qubit restores and surpasses the noiseless capacity. Additionally, numerical analysis demonstrates that by adjusting the non-Hermiticity, the optimal protection rate can always exceed 1. Our findings demonstrate PT symmetric operations as a novel tool to protect quantum correlations and enhance information transmission in realistic thermal settings, offering insights for robust quantum communication protocols.
Abstract In this work, we investigate the effect of a parity-time ( PT ) symmetric operation on the dynamic behavior of quantum dense coding for a two-qubit system in non-Markovian environments. First, we derive the explicit expressions of quantum dense coding for an exactly solving model consisting of two qubits interacting with an independent structured reservoir. Then, we give two cases, i.e. resonant and off-resonant regimes, to demonstrate the performance of the PT symmetric operation on quantum dense coding dynamics. By investigation, we find that the capacity of quantum dense coding can be obviously enhanced with the assistance of the PT symmetric operation in different regimes. In addition, we show that the optimal local PT symmetric operation can completely protect quantum dense coding. The obtained results imply that the PT symmetric operation method may have potential applications in quantum decoherence control.
Abstract In this work, we investigate effect of parity-time ( PT ) symmetric operation on the dynamic behavior of entanglement for two qubits system in Markovian and non-Markovian regimes with the resonant and off-resonant cases. First we derive the explicit expressions of concurrence quantifying entanglement for an exactly solving model consisting of two qubits interacting with independent structured reservoir. Then, we give two schemes, i.e. pre- and post- PT symmetric operations, to show the performance of PT symmetric operation on entanglement dynamics of two qubits. By investigation, we find that the lower the absolute value of the PT operation strength, the better the enhancement of entanglement. In addition, we show that the entanglement can be obviously enhanced by means of the pre- PT symmetric operation in different regimes.
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.
Abstract We investigate the effect of local parity-time ( PT ) symmetric operation on quantum teleportation in non-Markovian environments, focusing on resonant and off-resonant regimes. An exactly solvable two-qubit model with independent structured reservoirs is built to derive the average teleportation fidelity. We show that the PT symmetric operation lead to oscillatory fidelity decay with local revivals instead of monotonic decay, and optimally PT symmetric operation can stably keep the average fidelity above the classical 2/3 limit even in off-resonant non-Markovian regimes, effectively protecting the quantum advantage of teleportation.
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