Hidden Non n-locality In Linear Networks
- URL: http://arxiv.org/abs/2303.08699v2
- Date: Thu, 21 Sep 2023 15:45:02 GMT
- Title: Hidden Non n-locality In Linear Networks
- Authors: Kaushiki Mukherjee, Soma Mandal, Tapaswini Patro and Nirman Ganguly
- Abstract summary: We study hidden nonlocality in a linear network with independent sources.
Nonbilocality is observed even when one of the sources distributes a mixed two-qubit separable state.
We find that local filtering enhances the robustness to noise.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study hidden nonlocality in a linear network with independent sources. In
the usual paradigm of Bell nonlocality, there are certain states which exhibit
nonlocality only after the application of suitable local filtering operations,
which, in turn, are some special stochastic local operations assisted with
classical communication (SLOCC). In the present work, we introduce the notion
of hidden non n-locality. The notion is detailed using a bilocal network. We
provide instances of hidden nonbilocality and nontrilocality, where we notice
quite intriguingly that nonbilocality is observed even when one of the sources
distributes a mixed two-qubit separable state. Furthermore, a characterization
of hidden nonbilocality is also provided in terms of the Bloch-Fano
decomposition, wherein we conjecture that, to witness hidden nonbilocality, one
of the two states (used by the sources) must have nonnull local Bloch vectors.
Noise is inevitable in practical scenarios, which makes it imperative to study
any possible method to enhance the possibility of detecting nonclassicality in
the presence of noise in the network. We find that local filtering enhances the
robustness to noise, which we demonstrate using bit-flip and amplitude-damping
channels.
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