On bipartite unitary matrices generating subalgebra-preserving quantum operations

@article{Benoist2016OnBU,
  title={On bipartite unitary matrices generating subalgebra-preserving quantum operations},
  author={T. Benoist and I. Nechita},
  journal={Linear Algebra and its Applications},
  year={2016},
  volume={521},
  pages={70-103}
}
  • T. Benoist, I. Nechita
  • Published 2016
  • Mathematics, Physics
  • Linear Algebra and its Applications
  • 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, block-diagonal, and tensor product algebras. Some unexpected connections with the theory of quantum Latin squares are explored, and we introduce and study a Sinkhorn-like algorithm used to randomly generate quantum Latin squares. 
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