55 citations · 143 across the 24 of their papers we have counts for
4 papers · 1 filter
Remarks on the Grothendieck norm
Thomas Sinclair, Naveen Vivek
The goal of this short note is to point out three observations around the Grothendieck norm and semidefinite programming. The first is that the Grothendieck norm captures the diffi…
Model Theory of Operator Systems and C-Algebras
Thomas Sinclair
We survey the model theory of operator systems and C-algebras.
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…