The Connes embedding problem

IF 0.7 4区物理与天体物理 Q3 COMPUTER SCIENCE, THEORY & METHODS

Quantum Information & Computation Pub Date : 2020-01-01 DOI:10.1017/9781108782081.013

Travis B. Russell

引用次数: 2

Abstract

We show that Connes’ embedding problem is equivalent to the weak Tsirelson problem in the setting of two-outcome synchronous correlation sets. We further show that the extreme points of two-outcome synchronous correlation sets can be realized using a certain class of universal C*-algebras. We examine these algebras in the three-experiment case and verify that the strong and weak Tsirelson problems have affirmative answers in that setting.

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cones嵌入问题

我们证明了在双结果同步相关集的情况下，Connes的嵌入问题等价于弱Tsirelson问题。进一步证明了双结果同步相关集的极值点可以用一类泛C*-代数来实现。我们在三个实验的情况下检验这些代数，并验证强和弱Tsirelson问题在这种情况下有肯定的答案。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quantum Information & Computation 物理-计算机：理论方法

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

3.3 months

期刊介绍： Quantum Information & Computation provides a forum for distribution of information in all areas of quantum information processing. Original articles, survey articles, reviews, tutorials, perspectives, and correspondences are all welcome. Computer science, physics and mathematics are covered. Both theory and experiments are included. Illustrative subjects include quantum algorithms, quantum information theory, quantum complexity theory, quantum cryptology, quantum communication and measurements, proposals and experiments on the implementation of quantum computation, communications, and entanglement in all areas of science including ion traps, cavity QED, photons, nuclear magnetic resonance, and solid-state proposals.