Quantifying Bell nonlocality with the trace distance.
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2018
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Abstract
Measurements performed on distant parts of an entangled quantum state can generate correlations incompatible
with classical theories respecting the assumption of local causality. This is the phenomenon known as quantum
nonlocality that, apart from its fundamental role, can also be put to practical use in applications such as
cryptography and distributed computing. Clearly, developing ways of quantifying nonlocality is an important
primitive in this scenario. Here, we propose to quantify the nonlocality of a given probability distribution via
its trace distance to the set of classical correlations. We show that this measure is a monotone under the free
operations of a resource theory and, furthermore, that it can be computed efficiently with a linear program. We
put our framework to use in a variety of relevant Bell scenarios also comparing the trace distance to other standard
measures in the literature.
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BRITO, S. G. de A.; AMARAL, B. L.; ARAÚJO, R. C. S. Quantifying Bell nonlocality with the trace distance. Physical Review A, v. 97, p. 022111, fev. 2018. Disponível em: <https://journals.aps.org/pra/abstract/10.1103/PhysRevA.97.022111>. Acesso em: 16 jun. 2018.