Multiscale Schmidt-Spectrum Bounds for High-Dimensional Entanglement: Geometric Measures and Schmidt-Number Witnesses

arXiv:2609.21209 · quant-ph · Submitted 2026-09-18 · Read on arXiv

quant-ph

Submitted: 2026-09-18

Updated: 2026-09-18

Code: https://github.com/Liangxiong920/normGM

Terminology

• Fidelity — 83× in this paper · explained in 2 episodes
• Entanglement — 60× in this paper · explained in 4 episodes
• Calibration — 30× in this paper · explained in 7 episodes
• Benchmark — 9× in this paper · explained in 2 episodes
• Trace — 8× in this paper · explained in 2 episodes
• Consistency — 3× in this paper · explained in 3 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Admissibility — 1× in this paper · explained in 2 episodes
• Alignment — 1× in this paper · explained in 1 episode
• Ambient Dimension — 1× in this paper · explained in 1 episode
• Distillation — 1× in this paper · explained in 2 episodes
• Information Gain — 1× in this paper · explained in 2 episodes
• Physical Constraints — 1× in this paper · explained in 7 episodes
• Provenance — 1× in this paper · explained in 4 episodes
• Steering — 1× in this paper · explained in 2 episodes

Sources

• Efficient certification of high-dimensional entanglement
• Approximate transformations and robust manipulation of bipartite pure state entanglement
• Quantifying subspace entanglement with geometric measures
• Linking a distance measure of entanglement to its convex roof
• Convex geometry of quantum resource quantification
• Approximate transformations of bipartite pure-state entanglement from the majorization lattice
• Norms and Cones in the Theory of Quantum Entanglement

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