Carlo Pilia
Continuous functions as quantum operations: A probabilistic approximation
FREYTES, HECTOR CARLOS;LEDDA, ANTONIO;SERGIOLI, GIUSEPPE
2010-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.