Protecting Qutrit-Qutrit Entanglement Under Decoherence via Weak Measurement and Measurement Reversal
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Protecting Qutrit-Qutrit Entanglement Under Decoherence via Weak Measurement and Measurement Reversal MeiJiao Wang1 · YunJie Xia2,3 · YingDe Li1 · Yang Yang1 · LianZhen Cao1 · QinWei Zhang1 · JiaQiang Zhao1 Received: 22 April 2020 / Accepted: 21 September 2020 / © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract We investigate the entanglement protection of a qutrit-qutrit system under local amplitude damping channels by weak measurement and measurement reversal. We examine the type of initially entangled qutrit-qutrit states. We find that the entanglement decays with the decoherence strength increasing for the qutrit-qutrit state. Therefore, we focus on how to protect the quantum entanglement from decoherence by weak measurement and measurement reversal. Our results show that we can prevent amplitude damping decoherence by the combination of prior weak measurement and post optimal measurement reversal comparing with the dynamics without protection. Regardless of the value of decoherence, the protection scheme has better effect on the kind of V-configuration. And with the increase of decoherent strength, the difference is more obvious. Another interesting result is that the enhancement of the entanglement is very weak when decoherent strength is zero. Keywords Quantum entanglement · Weak measurement and measurement reversal · Decoherence · Negativity
1 Introduction Quantum entanglement [1–3] plays a central role in quantum information processing (QIP) [4] and has attracted considerable attention. However, real quantum systems are never completely isolated from the environment. The unavoidable coupling of the quantum system with the surrounding environment will lead to quantum decoherence and, in certain cases,
JiaQiang Zhao
[email protected] 1
Department of Physics and Optoelectronic Engineering, Weifang University, Weifang 261061, China
2
College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
3
Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Qufu Normal University, Qufu 273165, China
International Journal of Theoretical Physics
entanglement sudden death (ESD) [5–8], which is a major obstacle to the realization of QIP. So, protecting quantum entanglement is crucially important in effective QIP. Decoherent suppression may be accomplished in a number of ways, including quantum error correction [9, 10], decoherence-free subspace [11, 12] and dynamic decoupling [13, 14]. In addition to the above methods, another new protection scheme that the weak measurement theory is proposed by Aharonov, Albert and Vaidman [15, 16]. The application of the weak measurement and measurement reversal (WMR) has been suggested as a practically implementable method to suppress amplitude damping (AD) decoherence for a single qubit [17–19]. For the cases of two-qubit [20–25], Kim et al. experimentally demonstrate the protection of entanglement from AD decoherence using WMR. Moreover, quantum information tasks require high dimentional
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