On the minimum output entropy of random orthogonal quantum channels
Abstract
We consider sequences of random quantum channels defined using the Stinespring formula with Haardistributed random orthogonal matrices. For any fixed sequence of input states, we study the asymptotic eigenvalue distribution of the outputs through tensor powers of random channels. We show that the input states achieving minimum output entropy are tensor products of maximally entangled states (Bell states) when the tensor power is even. This phenomenon is completely different from the one for random quantum channels constructed from Haardistributed random unitary matrices, which leads us to formulate some conjectures about the regularized minimum output entropy.
 Publication:

arXiv eprints
 Pub Date:
 March 2017
 DOI:
 10.48550/arXiv.1703.08979
 arXiv:
 arXiv:1703.08979
 Bibcode:
 2017arXiv170308979F
 Keywords:

 Quantum Physics;
 Mathematical Physics;
 Mathematics  Probability
 EPrint:
 minor modifications