Entropy gain and the Choi-Jamiolkowski correspondence for infinite-dimensional quantum evolutions View Full Text


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Article Info

DATE

2011-01

AUTHORS

A. S. Holevo

ABSTRACT

We consider the entropy gain for infinite-dimensional evolutions and show that unlike in the finitedimensional case, there are many channels with positive minimal entropy gain. We obtain a new lower bound and compute the minimal entropy gain for a broad class of bosonic Gaussian channels. We mathematically formulate the Choi-Jamiolkowski (CJ) correspondence between channels and states in the infinite-dimensional case in a form close to the form used in quantum information theory. In particular, we obtain an explicit expression for the CJ operator defining a general nondegenerate bosonic Gaussian channel and compute its norm. More... »

PAGES

123-138

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s11232-011-0010-5

DOI

http://dx.doi.org/10.1007/s11232-011-0010-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1012435993


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