On bipartite unitary matrices generating subalgebra-preserving quantum operations

  title={On bipartite unitary matrices generating subalgebra-preserving quantum operations},
  author={T. Benoist and I. Nechita},
  journal={Linear Algebra and its Applications},
  • 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. 
    9 Citations

    Figures from this paper

    A 2-Categorical Approach to Composing Quantum Structures
    • PDF
    Biunitary constructions in quantum information
    • 18
    • PDF
    Orthogonality for Quantum Latin Isometry Squares
    • 2
    • Highly Influenced
    • PDF
    SudoQ -- a quantum variant of the popular game
    • PDF
    A review of matrix scaling and Sinkhorn's normal form for matrices and positive maps
    • 54
    • PDF


    On some classes of bipartite unitary operators
    • 5
    • PDF
    Flat matrix models for quantum permutation groups
    • 20
    • PDF
    Universal models for quantum permutation groups
    • 2
    Quantum Latin squares and unitary error bases
    • 30
    • PDF
    Quantum computation and quantum information
    • T. Paul
    • Mathematics, Computer Science
    • Math. Struct. Comput. Sci.
    • 2007
    • 15,019
    Quantum extensions of dynamical systems and of Markov semigroups
    • 1
    • PDF
    Classical complexity and quantum entanglement
    • L. Gurvits
    • Mathematics, Computer Science
    • J. Comput. Syst. Sci.
    • 2004
    • 180
    • PDF
    Convergence of repeated quantum nondemolition measurements and wave-function collapse
    • 42
    • PDF