Samuel J. Harris

activity

20162026

most citedBigalois extensions and the graph isomorphism game

45 citations · 128 across the 17 of their papers we have counts for

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Showing 2026Show all

3 papers · 1 filter

math.CO2026

A short proof that $R (3, k) = Θ (k^{2} / lo g k)$

Samuel Harris, Zion Hefty, Paul Horn +2

We give a nibble-free construction proving $R (3, k) \geq (1/200 + o (1)) k^{2} / lo g k$ . We also include Shearer's proof bounding the independence number of a triangle-free graph, which impli…

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 $ψ$ in a Hilbert space $H$ using unitaries (or more generally, contractions). If $\math…

A short proof that R(3,k)=Θ(k2/logk)

Ubiquity of counterexamples to the Smith-Ward problem

Self-testing of exact entanglement embezzlement

A short proof that $R (3, k) = Θ (k^{2} / lo g k)$