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- W2922939057 abstract "In a recent work [A. Aloy et al. arXiv:1807:06027 (2018)] we have considered the characterization of entanglement depth, from a device-independent perspective, in a quantum many-body system. We have shown that the inequalities introduced in [J. Tura et al. Science 344 1256 (2014)] can be used to obtain device-independent witnesses of entanglement depth and that they enjoy two key properties that allow to compute their $k$-producibility bounds more efficiently for larger system sizes, as well as yielding experimentally-friendlier device-independent witnesses of entanglement depth: they involve at most two-body correlators and they are permutationally invariant. While the main aim of our previous work was to illustrate the main ideas and applicability of the method, here we outline the details and complement its findings with detailed analysis and further case studies. Specifically, we consider the problem of finding the $k$-producible bounds of such DIWEDs under different assumptions. Not surprisingly, with the weakest assumptions, we can compute $k$-producible bounds only for relatively small number of parties; however we can still learn interesting features from these solutions that motivate the search on larger systems under the assumption that these features persist. This allows us to tackle the case where the system size eventually reaches the thermodynamic limit." @default.
- W2922939057 created "2019-04-01" @default.
- W2922939057 creator A5006366861 @default.
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- W2922939057 creator A5051113581 @default.
- W2922939057 creator A5078663797 @default.
- W2922939057 creator A5080025836 @default.
- W2922939057 date "2019-09-05" @default.
- W2922939057 modified "2023-10-08" @default.
- W2922939057 title "Optimization of device-independent witnesses of entanglement depth from two-body correlators" @default.
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- W2922939057 doi "https://doi.org/10.1103/physreva.100.032307" @default.
- W2922939057 hasPublicationYear "2019" @default.
- W2922939057 type Work @default.
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