Entanglement, weak values, and the precise inference of joint measurement outcomes for non-commuting observable pairs
Quantum Physics
2007-10-16 v3
Abstract
The problem of inferring the outcome of a simultaneous measurement of two non-commuting observables is addressed. We show that for certain pairs with dense spectra, precise inferences of the measurement outcomes are possible in pre-and post-selected ensembles, and if the selections involve entangled states with some other system. We show that the problem is related to the problem of assigning weak values to a continuous family of operators, and give explicit examples where this problem is solvable. Some foundational implications are briefly discussed.
Keywords
Cite
@article{arxiv.0709.2910,
title = {Entanglement, weak values, and the precise inference of joint measurement outcomes for non-commuting observable pairs},
author = {Alonso Botero},
journal= {arXiv preprint arXiv:0709.2910},
year = {2007}
}
Comments
5 pages, no figures. Revised version: corrected typos, particularly in Eq. 8, and expanded references