dorsal/arxiv
View SchemaInterconversion of Nonlocal Correlations
| Authors | Nick S. Jones, Lluis Masanes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506182 |
| URL | https://arxiv.org/abs/quant-ph/0506182 |
| DOI | 10.1103/PhysRevA.72.052312 |
| Journal | Phys. Rev. A 72, 052312 (2005) |
Abstract
In this paper we study the correlations that arise when two separated parties perform measurements on systems they hold locally. We restrict ourselves to those correlations with which arbitrarily fast transmission of information is impossible. These correlations are called nonsignaling. We allow the measurements to be chosen from sets of an arbitrary size, but promise that each measurement has only two possible outcomes. We find the structure of this convex set of nonsignaling correlations by characterizing its extreme points. Taking an information-theoretic view, we prove that all of these extreme correlations are interconvertible. This suggests that the simplest extremal nonlocal distribution (called a PR box) might be the basic unit of nonlocality. We also show that this unit of nonlocality is sufficient to simulate all quantum states when measured with two outcome measurements.
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"abstract": "In this paper we study the correlations that arise when two separated parties\nperform measurements on systems they hold locally. We restrict ourselves to\nthose correlations with which arbitrarily fast transmission of information is\nimpossible. These correlations are called nonsignaling. We allow the\nmeasurements to be chosen from sets of an arbitrary size, but promise that each\nmeasurement has only two possible outcomes. We find the structure of this\nconvex set of nonsignaling correlations by characterizing its extreme points.\nTaking an information-theoretic view, we prove that all of these extreme\ncorrelations are interconvertible. This suggests that the simplest extremal\nnonlocal distribution (called a PR box) might be the basic unit of nonlocality.\nWe also show that this unit of nonlocality is sufficient to simulate all\nquantum states when measured with two outcome measurements.",
"arxiv_id": "quant-ph/0506182",
"authors": [
"Nick S. Jones",
"Lluis Masanes"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.052312",
"journal_ref": "Phys. Rev. A 72, 052312 (2005)",
"title": "Interconversion of Nonlocal Correlations",
"url": "https://arxiv.org/abs/quant-ph/0506182"
},
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