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Protecting multipartite entanglement against weak-measurement-induced amplitude damping by local unitary operations

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Abstract

Protecting entanglement from decoherence has attracted more and more attention recently. Amplitude damping is a typical decoherence mechanism. If we detect the environment to guarantee no excitation escapes from the system, the amplitude damping is modified into a weak measurement of the system state. In this paper, based on local pulse series, we propose a scheme for protecting tripartite entanglement against decaying caused by weak-measurement-induced damping. Unlike previous bipartite state protection schemes, we consider three different situations: A series of unitary operations are applied on all of the three qubits, on two of the three qubits, and on only one qubit. The results show that this protocol can protect remote tripartite entanglement with a wide range of unitary operations. For the case of GHZ state, when the uniform pulses are applied on all qubits or on two qubits, the tripartite entanglement can be fixed around the entanglement of the initial state. Moreover, in the W state case, if a train of uniform pulses is applied on two qubits, we can see that the bipartite entanglement can be enhanced to the maximum with the third qubit being traced out. We also generalize our scheme to the cases of the superposition and mixture of GHZ and W states, and the numerical simulation shows that our protection scheme still works fine. The most distinct advantage of this entanglement protection scheme is that there is no need for the users to synchronize their operations. The fluctuations of the time interval between two adjacent local unitary operations, the operation parameters, and the pulse duration are all taken into consideration. All these advantages suggest that our scheme is much simpler and feasible, which may warrant its experimental realization.

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Acknowledgments

This work is supported by the National Natural Science Foundation of China (NSFC) under Grants Nos. 11274010, 11204002, 11374085 and 11204061; the Specialized Research Fund for the Doctoral Program of Higher Education (Grants Nos. 20113401110002 and 20123401120003); the Key Program of the Education Department of Anhui Province under Grants Nos. KJ2012A020, KJ2012A244, and KJ2012A206; the “211” Project of Anhui University; the Talent Foundation of Anhui University under Grant No. 33190019; the personnel department of Anhui Province.

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Authors and Affiliations

  1. Key Laboratory of Opto-electronic Information Acquisition and Manipulation, Ministry of Education, School of Physics and Material Science, Anhui University, Hefei, 230601, People’s Republic of China

    Xiao-Lan Zong, Chao-Qun Du, Ming Yang, Qing Yang & Zhuo-Liang Cao

  2. School of Electronic and Information Engineering, Hefei Normal University, Hefei, 230061, People’s Republic of China

    Wei Song & Zhuo-Liang Cao

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  1. Xiao-Lan Zong
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  2. Chao-Qun Du
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  3. Ming Yang
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  4. Wei Song
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  5. Qing Yang
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  6. Zhuo-Liang Cao
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Correspondence to Ming Yang.

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Zong, XL., Du, CQ., Yang, M. et al. Protecting multipartite entanglement against weak-measurement-induced amplitude damping by local unitary operations. Quantum Inf Process 14, 3423–3440 (2015). https://doi.org/10.1007/s11128-015-1041-x

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  • DOI: https://doi.org/10.1007/s11128-015-1041-x

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