Annex to KSCCN Volume II: Simulation Figures -Quantum Information Geometric Symmetries

Syed Muntasir Mamun

Published Jan 1, 2026• 0 citations

Abstract

of the Annex The three figures presented above constitute direct visual and numerical evidence that the group-invariance and maximal-invariant reduction framework developed for classical statistical models in Nielsen & Okamura (2026) and reviewed in KSCCN Volume I lifts without essential change to the quantum setting. The Bloch-sphere geometry makes the invariants geometrically obvious; the error histogram confirms invariance to machine precision; and the collapse plots demonstrate that the quantum relative entropy is completely determined by the three scalar invariants — the quantum analogue of the classical SVD + block-norm coordinates. Together they provide both theoretical confirmation and a practical computational tool for any problem in quantum information geometry that respects unitary (or local-unitary) symmetry. C SC S KK Dr. Syed Muntasir Mamun, PhD, PGD (Oxon) | ORCID: 0000-0001-6845-2853 KSCCN Page 3 Also available on Academia.edu: https://www.academia.edu/attachments/133246861/download_file?s=portfolio

DOI: 10.5281/zenodo.22991123

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