On the largest Bell violation attainable by a quantum state
Carlos Palazuelos
备注：
23 pages, no figures. Comments are welcome. v2: Modified abstract. Refs added. Same results. v3: A constant has been added in Thm 0.1. Minor corrections. Same main results
We study the projective tensor norm as a measure of the largest Bell violation of a quantum state. In order to do this, we consider a truncated version of a well-known SDP relaxation for the quantum value of a two-prover one-round game, one which has extra restrictions on the dimension of the SDP solutions. Our main result provides a quite accurate upper bound for the distance between the classical value of a Bell inequality and the corresponding value of the relaxation. Along the way, we give a simple proof that the best complementation constant of $\ell_2^n$ in $\ell_1(\ell_\infty)$ is of order $\sqrt{\ln n}$. As a direct consequence, we show that we cannot remove a logarithmic factor when we are computing the largest Bell violation attainable by the maximally entangled state.
New concise upper bounds on quantum violation of general multipartite Bell inequalities
近年来，文献中通过不同的数学工具对一般贝尔不等式的最大量子破坏的界进行了深入的讨论。在LqHV（local quasi hidden variable）模型框架下，我们分析了一般贝尔不等式的量子破坏，正确地再现了每个量子关联场景的概率描述. LqHV数学框架允许我们对所有d和N导出所有一般贝尔不等式的N-qudit态的最大违反的新的上界（2d-1）^{N-1}，也允许我们导出每个站点S设置的一般贝尔不等式的N-qudit态的最大违反的新的上界。这些新的上界从本质上改进了一般多部贝尔不等式量子违反的所有已知精确上界。对于某些S，d和N，新的上界是可达到的。
Quantum nonlocal correlations of anomalous weak values
Faculty of Engineering and Institute of Nanotechnology and Advanced Materials, Bar-Ilan University（巴伊兰大学工程学院与纳米技术和先进材料研究所）；Institute for Quantum Studies, Chapman University（查普曼大学量子研究所）；Iyar, The Israeli Institute for Advanced Research（以色列高级研究院）
Measuring the largest coefficients of a quantum state
Instituto de Ciencias de la Computación (ICC), CONICET-Universidad de Buenos Aires（计算科学研究所，阿根廷国家科学研究委员会-布宜诺斯艾利斯大学）；Departamento de Computación, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires（计算机系，理学院，布宜诺斯艾利斯大学）
Fermionic non-Gaussianity via Bell sampling: monotones and efficient quantum algorithms
Technical University of Munich（慕尼黑工业大学）；TUM School of Natural Sciences, Physics Department（自然科学与工程学院物理系）；Munich Center for Quantum Science and Technology (MCQST)（慕尼黑量子科学与技术中心）
