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arXiv · 1106.2169

New Quantum Bounds for Inequalities involving Marginal Expectations

Elie Wolfe·S. F. Yelin
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Abstract

We review, correct, and develop an algorithm which determines arbitrary Quantum Bounds, based on the seminal work of Tsirelson [Lett. Math. Phys. 4, 93 (1980)]. The potential of this algorithm is demonstrated by deriving both new number-valued Quantum Bounds, as well as identifying a new class of function-valued Quantum Bounds. Those results facilitate an 8-dimensional Volume Analysis of Quantum Mechanics which extends the work of Cabello [PRA 72 (2005)]. We contrast the Quantum Volume defined be these new bounds to that of Macroscopic Locality, defined by the inequalities corresponding to the first level of the hierarchy of Navascues et al [NJP 10 (2008)], proving our function-valued Quantum Bounds to be more complete.

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Elie Wolfe, S. F. Yelin. 2011-06-10. New Quantum Bounds for Inequalities involving Marginal Expectations. https://doi.org/10.1103/physreva.86.012123

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