What question did this study set out to answer?

This study aims to prove and validate the composition of quantum photon counting and entangled states in axion spectroscopy.

March 24, 2026Open Access

Composition Theorem for Quantum-Enhanced Axion Spectroscopy: QPE Dispersive Readout Composes Multiplicatively with Entangled Fock-State Multi-Cavity Protocols

Key Points

This study aims to prove and validate the composition of quantum photon counting and entangled states in axion spectroscopy.
Formal proof of the composition theorem
Numerical validation using computational scripts
Assessment of beam splitter-mediated Fock-state entanglement
Established a unified scan-rate equation R = R_QPE(0) × N² × (m+1)²
Demonstrated independent reproducibility through companion Python scripts

Abstract

Formal proof and numerical validation that QPE dispersive photon counting, beamsplitter-mediated Fock-state entanglement, and bosonic stimulated emission compose without operator conflict, yielding a unified scan-rate equation R = RQPE (0) × N² × (m+1) ². Extends and corrects the Axion Hunter 1. 0 XPRIZE submission (DOI: 10. 5281/zenodo. 18806641). All results independently reproducible via three companion Python scripts.

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