dorsal/arxiv
View SchemaInformation-theoretical meaning of quantum dynamical entropy
| Authors | Robert Alicki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0201012 |
| URL | https://arxiv.org/abs/quant-ph/0201012 |
| DOI | 10.1103/PhysRevA.66.052302 |
Abstract
The theory of noncommutative dynamical entropy and quantum symbolic dynamics for quantum dynamical systems is analised from the point of view of quantum information theory. Using a general quantum dynamical 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 entanglement-assisted classical capacity, which is the largest one, is bounded from above by the quantum dynamical entropy defined in terms of operational partitions of unity. Stronger results are proved for the particular class of quantum dynamical systems -- quantum Bernoulli shifts. Different classical capacities are exactly computed and the entanglement-assisted one is equal to the dynamical entropy in this case.
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"abstract": "The theory of noncommutative dynamical entropy and quantum symbolic dynamics\nfor quantum dynamical systems is analised from the point of view of quantum\ninformation theory. Using a general quantum dynamical system as a communication\nchannel one can define different classical capacities depending on the\ncharacter of resources applied for encoding and decoding procedures and on the\ntype of information sources. It is shown that for Bernoulli sources the\nentanglement-assisted classical capacity, which is the largest one, is bounded\nfrom above by the quantum dynamical entropy defined in terms of operational\npartitions of unity. Stronger results are proved for the particular class of\nquantum dynamical systems -- quantum Bernoulli shifts. Different classical\ncapacities are exactly computed and the entanglement-assisted one is equal to\nthe dynamical entropy in this case.",
"arxiv_id": "quant-ph/0201012",
"authors": [
"Robert Alicki"
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"doi": "10.1103/PhysRevA.66.052302",
"title": "Information-theoretical meaning of quantum dynamical entropy",
"url": "https://arxiv.org/abs/quant-ph/0201012"
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