Universidad Complutense de Madrid
E-Prints Complutense

Assessing Quantum Dimensionality from Observable Dynamics



Downloads per month over past year

Wolf, Michael M. and Pérez García, David (2009) Assessing Quantum Dimensionality from Observable Dynamics. Physical Review Letters, 102 . pp. 190504-1. ISSN 0031-9007


Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.102.190504



Using tools from classical signal processing, we show how to determine the dimensionality of a quantum system as well as the effective size of the environment's memory from observable dynamics in a model-independent way. We discuss the dependence on the number of conserved quantities, the relation to ergodicity and prove a converse showing that a Hilbert space of dimension D+2 is sufficient to describe every bounded sequence of measurements originating from any D-dimensional linear equations of motion. This is in sharp contrast to classical stochastic processes which are subject to more severe restrictions: a simple spectral analysis shows that the gap between the required dimensionality of a quantum and a classical description of an observed evolution can be arbitrary large.

Item Type:Article
Subjects:Sciences > Physics > Mathematical physics
ID Code:17748
Deposited On:17 Jan 2013 09:51
Last Modified:09 Dec 2014 08:41

Origin of downloads

Repository Staff Only: item control page