No Primary Source Found on Page Value Saturation in Random Hybrid Circuits — E8 Intelligence Research
FINDING: Search returned only secondary/lecture-level sources (YouTube talks, seminar reviews) on entanglement entropy; no primary paper on "Page value saturation in random hybrid quantum circuits" was retrieved, so no new mathematical result can be extracted from these items alone. | MATH: The relevant canonical results the domain implies (not derived from these links): Page curve S_A = min(|A|,|B|)·ln d − (d^{2|A|−2|B|})/(2 ln d) for random states; volume-law saturation S ∝ ln d · min(|A|,|B|); hybrid-circuit transition at critical measurement rate p_c with S ~ L (volume) for pp_c. | CONNECTION: No geometric-harmony ratio (0.382, 0.618, 0.786, 1.618, 2.618), base-60, or crystallographic/root-system structure is supported by the retrieved evidence. | DEPTH: 2 Notes on precision: - The five URLs are: (1) a general explainer video, (2) a Qiskit how-to, (3) a QIP2023 talk on topological entanglement entropy lower bounds (Ranard et al.), (4) a lecture s Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-04
- DOI
- https://doi.org/10.5281/zenodo.23939031
- Primary Topic
- Quantum many-body systems
- Type
- preprint