43 citations · 100 across the 21 of their papers we have counts for
18 papers · 1 filter
Representations of noncommutative cubes and prisms
Douglas Farenick, Roghayeh Maleki, Sofia Medina Varela +1
Representations of the operator system determined by the canonical generators of the free product of two cyclic groups of order and , or cyclic groups of order , are…
Geometry of essential matrix ranges and the Smith-Ward problem for operator systems
Douglas Farenick, Chi-Kwong Li, Sushil Singla
A -tuple of bounded linear selfadjoint operators acting on an infinite-dimensional separable Hilbert space is said to have the Smith-Ward property if the identity map of the ima…
Categorical relations and bipartite entanglement in tensor cones for Toeplitz and Fejér-Riesz operator systems
Douglas Farenick
The present paper aims to understand separability and entanglement in tensor cones, in the sense of Namioka and Phelps, that arise from the base cones of operator system tensor pro…
Toeplitz separability, entanglement, and complete positivity using operator system duality
Douglas Farenick, Michelle McBurney
A new proof is presented of a theorem of L.~Gurvits, which states that the cone of positive block-Toeplitz matrices with matrix entries has no entangled elements. The proof of the…
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…
Purity of the Embeddings of Operator Systems into their C- and Injective Envelopes
Douglas Farenick, Ryan Tessier
We study the issue of issue of purity (as a completely positive linear map) for identity maps on operators systems and for their completely isometric embeddings into their C-en…