English

Statistical Inference, Distinguishability of Quantum States, And Quantum Entanglement

Quantum Physics 2009-10-30 v2

Abstract

We argue from the point of view of statistical inference that the quantum relative entropy is a good measure for distinguishing between two quantum states (or two classes of quantum states) described by density matrices. We extend this notion to describe the amount of entanglement between two quantum systems from a statistical point of view. Our measure is independent of the number of entangled systems and their dimensionality.

Keywords

Cite

@article{arxiv.quant-ph/9703025,
  title  = {Statistical Inference, Distinguishability of Quantum States, And Quantum Entanglement},
  author = {V. Vedral and M. B. Plenio and K. Jacobs and P. L. Knight},
  journal= {arXiv preprint arXiv:quant-ph/9703025},
  year   = {2009}
}

Comments

11 pages no figures, to appear in Phys. Rev. A

R2 v1 2026-07-22T20:02:06.777Z