The geometry of absolute separability and other convex matrix properties from spectrum

arXiv:2608.03390 · quant-ph, math-ph, math.MP · Submitted 2026-08-04 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-08-04

Updated: 2026-09-18

Terminology

• Entanglement — 12× in this paper · explained in 3 episodes
• Axioms — 2× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Fundamental limitations on entanglement extraction from purity
• Extreme points of absolutely PPT states with exactly three distinct eigenvalues
• On the maximum purity of absolutely separable bipartite states

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