Range Theorems for Quantum Probability and Entanglement

I. Pitowsky

Range Theorems for Quantum Probability and Entanglement

Quantum Physics 2007-05-23 v1

Authors: I. Pitowsky

Abstract

We consider the set of all matrices of the form $p_{ij}=tr[W(E_{i}\otimes F_{j})]$ where $E_{i}$ , $F_{j}$ are projections on a Hilbert space $H$ , and $W$ is some state on $H\otimes H$ . We derive the basic properties of this set, compare it with the classical range of probability, and note how its properties may be related to geometric measures of entanglement.

Keywords

random matrix theory

Cite

@article{arxiv.quant-ph/0112068,
  title  = {Range Theorems for Quantum Probability and Entanglement},
  author = {I. Pitowsky},
  journal= {arXiv preprint arXiv:quant-ph/0112068},
  year   = {2007}
}

Comments

8 pages, contribution to proceedings of the conference "Quantum Theory: Reconsideration of Foundations", Vaxjo, July 2001

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