Abstract
Given a set of correlations originating from measurements on a quantum state of unknown Hilbert space dimension, what is the minimal dimension necessary to describe such correlations? We introduce the concept of dimension witness to put lower bounds on . This work represents a first step in a broader research program aiming to characterize Hilbert space dimension in various contexts related to fundamental questions and quantum information applications.
- Received 6 February 2008
DOI:https://doi.org/10.1103/PhysRevLett.100.210503
©2008 American Physical Society