Continuous Functions as Quantum Operations: a probabilistic approximation
Quantum Physics
2016-02-26 v1
Abstract
In this note we propose a version of the classical Stone-Weierstrass theorem in the context of quantum operations, by introducing a particular class of quantum operations, dubbed polynomial quantum operations. This result permits to interpret from a probabilistic point of view, and up to a certain approximation, any continuous function from the real cube [0; 1]^n to the real interval [0; 1] as a quantum operation.
Keywords
Cite
@article{arxiv.1602.07845,
title = {Continuous Functions as Quantum Operations: a probabilistic approximation},
author = {Hector Freytes and Antonio Ledda and Giuseppe Sergioli},
journal= {arXiv preprint arXiv:1602.07845},
year = {2016}
}
Comments
Pages 13, figures 3