5 citations · 10 across the 8 of their papers we have counts for
8 papers
Approximate factorization properties for operator systems
Roy Araiza, Larissa Kroell, Travis Russell +1
We show that many of the standard nuclearity properties considered in the literature for the hierarchy of operator system tensor products can be expressed as approximate factorizat…
Resource-Dependent Complexity of Quantum Channels
Roy Araiza, Yidong Chen, Marius Junge +1
We introduce a new framework for quantifying the complexity of quantum channels, grounded in a suitably chosen resource set. This class of convex functions is designed to analyze t…
Operator Systems Generated by Projections
Roy Araiza, Travis Russell
We construct a family of operator systems and -AOU spaces generated by a finite number of projections satisfying a set of linear relations. This family is universal in the sense…
An Index for Inclusions of Operator Systems
Roy Araiza, Colton Griffin, Thomas Sinclair
Inspired by a well-known characterization of the index of an inclusion of II factors due to Pimsner and Popa, we define an index-type invariant for inclusions of operator syste…
Approximating projections by quantum operations
Roy Araiza, Colton Griffin, Aneesh Khilnani +1
Using techniques from semidefinite programming, we study the problem of finding a closest quantum channel to the projection onto a matricial subsystem. We derive two invariants of…
Matricial Archimedean order unit spaces and quantum correlations
Roy Araiza, Travis Russell, Mark Tomforde
We introduce a matricial analogue of an Archimedean order unit space, which we call a -AOU space. We develop the category of -AOU spaces and -positive maps and exhibit fun…
A Universal Representation for Quantum Commuting Correlations
Roy Araiza, Travis Russell, Mark Tomforde
We explicitly construct an Archimedean order unit space whose state space is affinely isomorphic to the set of quantum commuting correlations. Our construction only requires fundam…
An abstract characterization for projections in operator systems
Roy Araiza, Travis Russell
We show that the set of projections in an operator system can be detected using only the abstract data of the operator system. Specifically, we show that if is a positive contr…