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Non-Locality distillation in tripartite NLBs

2018/01/13 by Talha Lateef, Lateef, Talha
Chemistry · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Molecular Spectroscopy and Structure #Optical properties and cooling technologies in crystalline materials #Organic and Molecular Conductors Research #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.1801.04413

openalex publication_date 2018/01/13 · arxiv created 2018/01/19 · arxiv updated 2018/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In quantum mechanics some spatially separated sub-systems behave as if they are part of a single system, the superposition of states of this single system cannot be written as products of states of individual sub-systems,we say that the state of such system is entangled, such systems give rise to non-local correlations between outcomes of measurements. The non-local correlations are conditional probability distributions of some measurement outcomes given some measurement settings and cannot be explained by shared information.These correlations can be studied using a non-local box(NLB) which can be viewed as a quantum systema. A NLB is an abstract object which has number of inputs(measurement settings) and number of outputs(outcomes), such NLBs can be both quantum and super-quantum. The correlations are of use in quantum information theory, the stronger the correlations the more useful they are, hence we study protocols that have multiple weaker non-local systems, application of these protocols to weaker systems may result in stronger non-local correlations, we call such protocols non-locality distillation protocols. In our work here we present non-locality distillation protocols for tripartite NLBs specifically GHZ box and class 44,45 and 46 of no-signalling polytope.

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