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math.OA2026
Ubiquity of counterexamples to the Smith-Ward problem
Samuel J. Harris
The paper constructs many three‑dimensional operator systems that lack the lifting property, extending a known counterexample to the Smith‑Ward problem to any finitely generated C*…
math.OA2026
Four-dimensional operator systems without the lifting property
Samuel J. Harris
The purpose of this note is to provide a family of explicit examples of -dimensional operator systems contained in the Calkin algebra on a separable i…
math.OA2026
Self-testing of exact entanglement embezzlement
Samuel J. Harris
We consider bipartite exact entanglement embezzlement with a catalyst state vector in a Hilbert space using unitaries (or more generally, contractions). If $\mat…