Network nonlocality sharing via weak measurements in the extended bilocal scenario

Hou, Wenlin; Liu, Xiaowei; Ren, Changliang

doi:10.48550/arxiv.2112.04917

Cited by 2 publications

(3 citation statements)

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“…After completion of our work, we notice that when both the observers share (noisy) maximally entangled states and want to employ network nonlocality by performing unsharp measurements in star and chain networks, a maximum of two rounds of detection for network nonlocal correlations is reported [43] (cf. also [42]).…”

Section: Discussionmentioning

confidence: 87%

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Limits of network nonlocality probed by time-like separated observers

Halder¹,

Banerjee²,

Mal³

et al. 2022

Preprint

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In an entanglement swapping scenario, if two sources sharing entangled states between three parties are independent, local correlations lead to a different kind of inequalities than the standard Bell inequalities, known as network local models. A highly demanding task is to find out a way to involve many players nontrivially in a quantum network since measurements, in general, disturb the system. To this end, we consider here a novel way of sharing network nonlocality when two observers initially share close to a maximally entangled state. We report that by employing unsharp measurements performed by one of the observers, six pairs can sequentially demonstrate the violation of bilocal correlations while a maximum of two pairs of observers can exhibit bi-nonlocality when both the observers perform unsharp measurements. We also find the critical noise involved in unsharp measurements in each round to illustrate the bi-nonlocality for a fixed shared entangled state as a resource. We also establish a connection between entanglement content of the shared state, quantified via von-Neumann entropy of the local density matrix for pure states and entanglement of formation for Werner states, and the maximum number of rounds showing violation of bilocal correlations. By reducing entanglement content in the elements of the joint measurement by the third party, we observe that the maximum number reduces to two sequential sharing of bi-nonlocality even for the maximally entangled state when the settings at each side are taken to be three and fixed.

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Section: Discussionmentioning

confidence: 87%

“…In the present work, we go beyond this picture (cf. [42,43]). In particular, we consider two independent sources which produce two noisy nonmaximally entangled states.…”

Section: Introductionmentioning

confidence: 99%