Work

Influence Bounds for Arbitrary Product Measures

Year: 2026

Type: preprint

Abstract: We prove a variance-dependent influence bound for bounded functions on arbitrary finite product spaces. Its constants are independent of all atom probabilities. We derive deterministic approximations of quantum acceptance probabilities. The article includes full analytic derivations, four diagrams, footnotes, examples and appendices. The finite-product theorem has variance exponent five halves. The general sharp exponent-two question remains open here. Original results and their authors retain explicit attribution. Independent peer review and novelty assessment are pending.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.24051766

Author: Bhattacharjee, Deep

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7225572887

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