Sharper Bounds for the Complex Grothendieck Constant

arXiv:2609.25462 · math.FA, cs.DS, quant-ph · Submitted 2026-09-21 · Read on arXiv

math.FA, cs.DS, quant-ph

Submitted: 2026-09-21

Updated: 2026-09-21

Comments: 21 pages

Code: https://github.com/sheilman77/grothendieck_cx

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Hilbert Space — 4× in this paper · explained in 2 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Verifier — 2× in this paper · explained in 2 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Entanglement — 1× in this paper · explained in 3 episodes
• Multipartite Entanglement — 1× in this paper · explained in 2 episodes

Sources

• A Lower Bound for Grothendieck's Constant
• An Upper Bound on Grothendieck's Constant
• The Grothendieck Constant is Strictly Larger than Davie-Reeds' Bound
• The Grothendieck Constant is Less Than $\frac{\pi}{2 \log (1+ \sqrt{2})} - 10^{-5}$
• New Lower and Upper Bounds for the Grothendieck Constant

Related papers

• Ballistic Speed and Potential-Theoretic Recurrence for Homogeneous Open Quantum Random Walks
• The Grothendieck Constant is Strictly Larger than Davie-Reeds' Bound