DocumentCode
2009269
Title
Invariance of stationary and ergodic properties of a quantum source under memoryless transformations
Author
Kaltchenko, Alexei ; Yang, En-Hui
Author_Institution
Dept. of Electr. & Comput. Eng., Waterloo Univ., Ont., Canada
fYear
2003
fDate
29 June-4 July 2003
Firstpage
458
Abstract
The stationarity and ergodicity of a quantum source are preserved by any trace-preserving completely positive linear map of the tensor product form ε⊖ε···⊖ε, where a copy of ε acts locally on each spin lattice site. We also establish ergodicity criteria for so called classically-correlated quantum sources.
Keywords
Hilbert spaces; lattice theory; memoryless systems; quantum statistical mechanics; classically-correlated quantum sources; ergodicity criteria; spin lattice site; stationarity; tensor product; trace-preserving completely positive linear map; Algebra; Hilbert space; Lattices; Probability distribution; Quantum mechanics; Stationary state; Tensile stress;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory, 2003. Proceedings. IEEE International Symposium on
Print_ISBN
0-7803-7728-1
Type
conf
DOI
10.1109/ISIT.2003.1228475
Filename
1228475
Link To Document