Quantum bounds for inequalities involving marginal expectation values

被引：15

作者：

Wolfe, Elie ^{[1
]}

Yelin, S. F. ^{[1
,2
]}

机构：

[1] Univ Connecticut, Dept Phys, Storrs, CT 06269 USA

[2] Harvard Smithsonian Ctr Astrophys, ITAMP, Cambridge, MA 02138 USA

来源：

PHYSICAL REVIEW A | 2012年 / 86卷 / 01期

关键词：

NONLOCALITY;

D O I：

10.1103/PhysRevA.86.012123

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We review and develop an algorithm to determine arbitrary quantum bounds based on the seminal work of Tsirelson [Lett. Math. Phys. 4, 93 (1980)]. The potential of this algorithm is demonstrated by both deriving marginal-involving number-valued quantum bounds and identifying a generalized class of function-valued quantum bounds. Those results facilitate an eight-dimensional volume analysis of quantum mechanics which extends the work of Cabello [Phys. Rev. A 72, 012113 (2005)]. We contrast the quantum volume defined by these bounds to that of macroscopic locality, defined by the inequalities corresponding to the first level of the hierarchy of Navascues et al. [New J. Phys. 10, 073013 (2008)], proving our function-valued quantum bounds to be more complete.

引用

页数：6