Weak value expansion of quantum operators and its application in stochastic matrices
Quantum Physics
2013-06-21 v1 Mathematical Physics
math.MP
Abstract
It is shown that any Hermitian operator can be expanded in terms of a set of operators formed from biorthogonal basis, and the expansion coefficients are given as products of weight functions and weak values, shedding a new light on the physical interpretation of the weak value. The utility of our approach is showcased with examples of spin one-half and spin one systems, where irreversible subset of stochastic matrices describing projective measurement on a mixed state is identified.
Cite
@article{arxiv.1306.4767,
title = {Weak value expansion of quantum operators and its application in stochastic matrices},
author = {Taksu Cheon and Sergey Poghosyan},
journal= {arXiv preprint arXiv:1306.4767},
year = {2013}
}
Comments
8 pages ReVTeX with 4 eps figures