Dequantization Via Quantum Channels
Abstract
For a unital completely positive map {Φ} ("quantum channel") governing the time propagation of a quantum system, the Stinespring representation gives an enlarged system evolving unitarily. We argue that the Stinespring representations of each power {Φ^m} of the single map together encode the structure of the original quantum channel and provide an interactiondependent model for the bath. The same bath model gives a "classical limit" at infinite time {mto∞} in the form of a noncommutative "manifold" determined by the channel. In this way, a simplified analysis of the system can be performed by making the large m approximation. These constructions are based on a noncommutative generalization of Berezin quantization. The latter is shown to involve very fundamental aspects of quantuminformation theory, which are thereby put in a completely new light.
 Publication:

Letters in Mathematical Physics
 Pub Date:
 October 2016
 DOI:
 10.1007/s1100501608742
 arXiv:
 arXiv:1506.01453
 Bibcode:
 2016LMaPh.106.1397A
 Keywords:

 Mathematical Physics;
 Mathematics  Operator Algebras;
 Mathematics  Quantum Algebra;
 Quantum Physics
 EPrint:
 Lett. Math. Phys. Vol 106, Issue 10, pp. 13971414 (2016)