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math.OA2022
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…
quant-ph2022
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…