4 papers · 1 filter
Universality of Weyl Unitaries
Douglas Farenick, Oluwatobi Ruth Ojo, Sarah Plosker
Weyl's unitary matrices, which were introduced in Weyl's 1927 paper on group theory and quantum mechanics, are unitary matrices given by the diagonal matrix whose entri…
Complete Order Equivalence of Spin Unitaries
Douglas Farenick, Farrah Huntinghawk, Adili Masanika +1
This paper is a study of linear spaces of matrices and linear maps on matrix algebras that arise from \emph{spin systems}, or \emph{spin unitaries}, which are finite sets $\mathcal…
Quantum Majorization on Semifinite von Neumann Algebras
Priyanga Ganesan, Li Gao, Satish K. Pandey +1
We extend Gour et al's characterization of quantum majorization via conditional min-entropy to the context of semifinite von Neumann algebras. Our method relies on a connection bet…
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…