Samuel J. Harris

works on

c*-algebras 1 exactness 1 lifting property 1 nuclearity 1 operator systems 1 smith-ward problem 1

From the 1 of 4 linked papers with an AI index.

collaborators

4 papers

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 $4$ -dimensional operator systems contained in the Calkin algebra $Q (H)$ 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 $I ¨ $ in a Hilbert space $H$ using unitaries (or more generally, contractions). If $\mat…

quant-ph2024

Approximate quantum 3-colorings of graphs and the quantum Max 3-Cut problem

Samuel J. Harris

We prove that, to each synchronous non-local game $G = (I, O, I^»)$ with $∣ I ∣ = n$ and $∣ O ∣ = m \geq 3$ , there is an associated graph $G_{I^} »$ for which approximate winning strategi…