Informationtheoretical meaning of quantumdynamical entropy
Abstract
The theories of noncommutative dynamical entropy and quantum symbolic dynamics for quantumdynamical systems are analyzed from the point of view of quantum information theory. Using a general quantumdynamical system as a communication channel, one can define different classical capacities depending on the character of resources applied for encoding and decoding procedures and on the type of information sources. It is shown that for Bernoulli sources, the entanglementassisted classical capacity, which is the largest one, is bounded from above by the quantumdynamical entropy defined in terms of operational partitions of unity. Stronger results are proved for the particular class of quantumdynamical systemsquantum Bernoulli shifts. Different classical capacities are exactly computed and the entanglementassisted one is equal to the dynamical entropy in this case.
 Publication:

Physical Review A
 Pub Date:
 November 2002
 DOI:
 10.1103/PhysRevA.66.052302
 arXiv:
 arXiv:quantph/0201012
 Bibcode:
 2002PhRvA..66e2302A
 Keywords:

 03.67.a;
 03.65.Fd;
 89.70.+c;
 Quantum information;
 Algebraic methods;
 Information theory and communication theory;
 Quantum Physics
 EPrint:
 6 pages