5 citations · 5 across the 4 of their papers we have counts for
6 papers · 1 filter
Entanglement Breaking Channels, Stochastic Matrices, and Primitivity
Jennifer Ahiable, David W. Kribs, Jeremy Levick +2
We consider the important class of quantum operations (completely positive trace-preserving maps) called entanglement breaking channels. We show how every such channel induces stoc…
An extension of Bravyi-Smolin's construction for UMEBs
Jeremy Levick, Mizanur Rahaman
We extend Bravyi and Smolin's construction for obtaining unextendible maximally entangled bases (UMEBs) from equiangular lines. We show that equiangular real projections of rank mo…
Nullspaces of Entanglement Breaking Channels and Applications
D. W. Kribs, J. Levick, K. Olfert +2
We investigate the nullspace structures of entanglement breaking channels, and related applications. We show that every operator space of trace zero matrices is the nullspace of an…
Approximate Quasiorthogonality of Operator Algebras and Relative Quantum Privacy
David W. Kribs, Jeremy Levick, Mike Nelson +2
We show that the approximate quasiorthogonality of two operator algebras is equivalent to the algebras being approximately private relative to their conditional expectation quantum…
Factorizations of Quantum Channels
Jeremy Levick
We find a connection between the existence of a factorization of a quantum channel and the existence of low-rank solutions to certain linear matrix equations. Using this, we show t…
Matrix N-dilations of quantum channels
Jeremy Levick, Robert T. W. Martin
We study unital quantum channels which are obtained via partial trace of a -automorphism of a finite unital matrix -algebra. We prove that any such channel, , on a unital…