Enhancing entanglement of assistance using weak measurement and quantum measurement reversal in correlated amplitude dam
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Enhancing entanglement of assistance using weak measurement and quantum measurement reversal in correlated amplitude damping channel Zhi He1,2 · Hao-Sheng Zeng1 Received: 28 September 2019 / Accepted: 28 July 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract Entanglement of assistance from multipartite to fewer partites (e.g., bipartite) entangled state via measurements is an important way for generating entanglement. Here, we study the dynamics of entanglement of assistance from a tripartite W -like state to a bipartite Bell-like state under correlated amplitude damping channel using weak measurement and quantum measurement reversal. Our results show that the correlation between environmental noises plays a positive role in enhancing the entanglement of assistance, and in particular, it also works very well for very large decoherence strength of channel. More importantly, we find that an almost maximal two-qubit entangled state in the total region of decoherence strength can be obtained from the originally W -like state with a better success probability. The proposed scheme provides an active way in combating the amplitude damping noises, which may have potential applications in quantum communication and distributed quantum computation. Keywords Entanglement of assistance · Correlated amplitude damping channel · Weak measurement and quantum measurement reversal
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Zhi He [email protected] Hao-Sheng Zeng [email protected]
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Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China
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College of Mathematics and Physics Science, Hunan University of Arts and Science, Changde 415000, China 0123456789().: V,-vol
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Z. He, H.-S. Zeng
1 Introduction Quantum system inevitably interacting with its environments will lead to decoherence. For a compound quantum system, the environments of each subsystem may be independent or correlated. For the independent environments, the dynamical map of the total system can be constructed simply through the tensor product of the Kraus operators of each subsystem [1]. However, in most realistic circumstances, the environments may be correlated [2]. For the fully correlated amplitude damping (CAD) channel, the corresponding Kraus operators have been explicitly constructed [3], while a partial CAD channel can be expressed as the combination of an uncorrelated amplitude damping (UAD) channel and a fully CAD channel via a correlated factor [4]. Recently, the applications of quantum correlated channels in various quantum tasks have been studied including two-qubit CAD channel [3–9] and two-qubit correlated dephasing channel [10–14]. Taming decoherence is essential in quantum computation and quantum communication. The weak measurement (WM) and quantum measurement reversal (QMR) is an effective method to combat the decoherence. Famously, the initial state can
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