RT Journal Article
T1 Assessing Quantum Dimensionality from Observable Dynamics
A1 Wolf, Michael M.
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 American Physical Society
SN 0031-9007
YR 2009
FD 2009-05-15
LK https://hdl.handle.net/20.500.14352/42494
UL https://hdl.handle.net/20.500.14352/42494
LA eng
NO QUANTOP
NO Ole Roemer grant of the Danish Natural Science Research Council (FNU)
DS Docta Complutense
RD 6 abr 2025