Impacto
Downloads
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
![]() Preview |
PDF
382kB |
Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.102.190504
Abstract
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