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Nonlocal operation enhanced entanglement detection and classification

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  • Li, Yan
  • Ren, Zhihong

Abstract

Based on the nature that nonlocal operation will change the fixed quantum statistical speed limited by the local operation, we study the performance of Ising-type nonlocal operation in multipartite entanglement detection and classification. We first present the formula of quantum statistical speed for general quantum state under the two-body nonlocal operation, and then investigate several important and experimentally relevant states, including N-qubit W state, Twin-Fock state, Q state and N-qubit GHZ state. The results show that the optimal nonlocal operation can be used to address some intractable problems encountered under the local operation, such as the classification of N-qubit W state and entanglement detection of Q state at the edges. Meanwhile, some defects are presented and discussed. Interestingly, the N-qubit GHZ state is found to be stable when it is probed by weaker nonlocal operation (γ≤N−1) and it maybe helpful to the experimental research. Our work provides an alternative route to investigate entanglement detection and classification, especially for the novel and complex quantum system.

Suggested Citation

  • Li, Yan & Ren, Zhihong, 2022. "Nonlocal operation enhanced entanglement detection and classification," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 596(C).
  • Handle: RePEc:eee:phsmap:v:596:y:2022:i:c:s0378437122001546
    DOI: 10.1016/j.physa.2022.127137
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    Cited by:

    1. Li, Yan & Ren, Zhihong, 2023. "Quantum Fisher information of an N-qubit maximal sliced state in decoherence channels and Ising-type interacting model," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).

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