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math.OA2026
Ubiquity of counterexamples to the Smith-Ward problem
Samuel J. Harris
The Smith-Ward problem about matrix ranges, posed in the 1980s, was recently resolved in the negative by Marcel Scherer (arXiv:2607.04274) by obtaining a three-dimensional operator…
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 $\math…