34 citations · 180 across the 35 of their papers we have counts for
6 papers · 1 filter
Operator Algebra Generalization of a Theorem of Watrous and Mixed Unitary Quantum Channels
David W Kribs, Jeremy Levick, Rajesh Pereira +1
We establish an operator algebra generalization of Watrous' theorem \cite{watrous2009} on mixing unital quantum channels (completely positive trace-preserving maps) with the comple…
Entanglement Breaking Rank via Complementary Channels and Multiplicative Domains
David W. Kribs, Jeremy Levick, Rajesh Pereira +1
Quantum entanglement can be studied through the theory of completely positive maps in a number of ways, including by making use of the Choi-Jamilkowski isomorphism, which identifie…
Orthogonal Unitary Bases and a Subfactor Conjecture
Jason Crann, David W. Kribs, Rajesh Pereira
We show that any finite dimensional von Neumann algebra admits an orthonormal unitary basis with respect to its standard trace. We also show that a finite dimensional von Neumann s…
Self-Dual Maps and Symmetric Bistochastic Matrices
Corey O'Meara, Rajesh Pereira
The H-unistochastic matrices are a special class of symmetric bistochastic matrices obtained by taking the square of the absolute value of each entry of a Hermitian unitary matrix.…
Private Quantum Channels, Conditional Expectations, and Trace Vectors
Amber Church, David W. Kribs, Rajesh Pereira +1
Private quantum channels are the quantum analogue of the classical one-time pad. Conditional expectations and trace vectors are notions that have been part of operator algebra theo…
Minimal and Maximal Operator Spaces and Operator Systems in Entanglement Theory
Nathaniel Johnston, David W. Kribs, Vern I. Paulsen +1
We examine k-minimal and k-maximal operator spaces and operator systems, and investigate their relationships with the separability problem in quantum information theory. We show th…