Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum Channels

Details Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum Channels Eigenvalue and Entropy Statistics for Products of Conjugate Random Quantum Channels

2010-06-16

arxiv.org/abs/1006.3247v1

Entropy 12 (2010), no. 6, 1612-1631

Physics

Quantum Physics

Scientific paper

10.3390/e12061612

Using the graphical calculus and integration techniques introduced by the authors, we study the statistical properties of outputs of products of random quantum channels for entangled inputs. In particular, we revisit and generalize models of relevance for the recent counterexamples to the minimum output entropy additivity problems. Our main result is a classification of regimes for which the von Neumann entropy is lower on average than the elementary bounds that can be obtained with linear algebra techniques.

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