RT Journal Article
T1 Assessing dimensions from evolution
A1 Wolf, Michael
A1 Pérez García, David
AB 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.
PB The American Physical Society
SN 1079-7114
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/49544
UL https://hdl.handle.net/20.500.14352/49544
LA eng
NO Unión Europea. FP7
NO QUANTOP
NO Danish Natural Science Research Council (FNU)
DS Docta Complutense
RD 9 may 2024