On bipartite unitary matrices generating subalgebrapreserving quantum operations
Abstract
We study the structure of bipartite unitary operators which generate via the Stinespring dilation theorem, quantum operations preserving some given matrix algebra, independently of the ancilla state. We characterize completely the unitary operators preserving diagonal, blockdiagonal, and tensor product algebras. Some unexpected connections with the theory of quantum Latin squares are explored, and we introduce and study a Sinkhornlike algorithm used to randomly generate quantum Latin squares.
 Publication:

arXiv eprints
 Pub Date:
 August 2016
 arXiv:
 arXiv:1608.05811
 Bibcode:
 2016arXiv160805811B
 Keywords:

 Quantum Physics;
 Mathematical Physics
 EPrint:
 a new reference added and minor modifications