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The Quantum Pyramids Conjecture

Englert and Rehacek conjectured which measurement is globally information-optimal for an ensemble of equiangular equiprobable pure states. Their conjecture holds, via the remaining entropy inequalities of Holevo and Utkin.

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jun 12, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.

Canonical aliases: The Quantum Pyramids Conjecture · Quantum pyramids

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Alvan Arulandu
human · human collaborator

ChatGPT Pro 5.4
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Alvan Arulandu

This event attributed to ChatGPT Pro 5.4

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