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Laser Physics

Amplification of quantum entanglement by non-Hermitian operation under phase decoherence source

Qiong Wang, Lan Xu, Ji-Bing Yuan, Zhi He

Published Aug 23, 2021• 2 citations
Publisher

Abstract

Abstract Protection of entanglement from disturbance of the environment is an essential task in quantum information processing. We study the dynamic behaviours of quantum entanglement between two uncoupled qubits, which are immersed in a common phase decoherence environment. We examine the validity of the local non-Hermitian operation in the amplification of qubit–qubit entanglement. In particular, using analytical and numerical investigations, we show explicitly that the quantum entanglement of the two qubits can be greatly amplified by means of non-Hermitian operation.

DOI
10.1088/1555-6611/ac1c10

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Abstract Protection of entanglement from disturbance of the environment is an essential task in quantum information processing. We study the dynamic behaviours of quantum entanglement between two uncoupled qubits, which are immersed in a common phase decoherence environment. We examine the validity of the local non-Hermitian operation in the amplification of qubit–qubit entanglement. In particular, using analytical and numerical investigations, we show explicitly that the quantum entanglement of the two qubits can be greatly amplified by means of non-Hermitian operation.
Abstract We study the dynamic behavior of quantum super dense coding between two uncoupled qubits, which are immersed in a common Ohmic environment. We examine the validity of local non-Hermitian operations in the amplification of quantum super dense coding. In particular, using analytical and numerical investigations, we show explicitly that the capacity of quantum super dense coding can be greatly amplified with the assistance of a local non-Hermitian operation, i.e. a parity-time symmetric operation. This sheds new light on the protection of quantum super density.
Abstract We examine the validity and limitation of the local non-Hermitian operation in the enhancement of qubit-qubit entanglement from various decoherence sources. We derive the exact expressions of concurrence quantifying entanglement for an exactly solving model consisting of two qubits interacting with various decoherence sources. we show explicitly that the local non-Hermitian operation indeed helps for enhancing quantum entanglement from amplitude damping, but not for phase damping. Finally, we give a brief discussion of the physical explanation for our scheme.
We study analytically the dynamic behaviours of quantum correlation measured by a quantum discord between two uncoupled qubits, which are immersed in a common Ohmic environment. We show that the quantum discord of the two non-interacting qubits can be greatly amplified or protected for certain initially prepared X -type states in the time evolution. In particular, it is found that stable amplification of the quantum discord exists for the case of two identical qubits, and the quantum discord can be protected for the case of two different qubits with a large detuning. It is also indicated that in general a sudden change of the quantum discord occurs in the time evolution at a critical time point t c , and the discord amplification and protection may occur only in the time interval for certain X -type states. This sheds new light on the creation and protection of quantum correlation.
Abstract The enhancement of qubit–qubit entanglement is systematically investigated by employing local non-Hermitian operations. Special attention is paid to the comparison of prior and post non-Hermitian cases. We derive the exact expressions of concurrence quantifying entanglement to arrive at an exact solution model, consisting of two qubits interacting with an independent structured reservoir. The results show that qubit–qubit entanglement can obviously be enhanced by means of either local prior or post non-Hermitian operations. In particular, we find that the effect of the prior non-Hermitian operator process of the double damping channels is superior to the post non-Hermitian process, while the effect of the single damping channel case shows the opposite trend.
Abstract Entangled states with high-dimensional systems have been investigated widely because of their extended possibilities. We investigate the entanglement protection of a qubit–qutrit system under amplitude damping decoherence by employing non-Hermitian operation. We find that the qubit–qutrit entanglement decays monotonically as the decoherence strength increases, and may go through a sudden death for strong decoherence strength. However, we can completely defeat amplitude damping decoherence and recover or even magnify the initial entanglement perfectly by means of non-Hermitian operation. In particular, the non-Hermitian operation can protect entanglement more efficiently in the case of strong decoherence strength than those with small decoherence strength.
Abstract Decoherence suppression from disturbance of the environment is an essential task in quantum information processing. Using the non-Hermitian operation approach, decoherence suppression of a qubit system interacting with a zero-temperature reservoir with both spontaneous emission and dephasing is investigated. We derive the exact analytical expressions of the quantum fidelity and find that quantum coherence can be significantly enhanced by controlling the non-Hermitian operator parameters. In particular, the non-Hermitian is more effective in the case of strong decay rates and show better inhibition effect on dephasing process than the spontaneous emission process.