Signal_Amplification_System_by_Parametric_Down-Conversion

Abstract

This version develops a preregisterable and falsifiable experimental framework for investi-gating parametric optical amplification of weak biomedical signals.The framework explicitly distinguishes spontaneous parametric down-conversion fromseeded parametric amplification and treats the latter as the primary amplification mechanism.The signal path is modeled asweak optical input → parametric amplifier → loss/filtering → detector → statistical inference.The theoretical model is based on a two-mode Bogoliubov transformation,aˆs,out = uaˆs,in + vaˆ†i,in,with|u|2 − |v|2 = 1for the ideal lossless case.The framework separately models amplifier gain, quantum noise, optical loss, detectorinefficiency, electronic noise, pump noise, phase noise, mode mismatch, gain saturation, andpump depletion.Two operating modes are considered:1. phase-insensitive amplification, in which both quadratures are amplified and unavoidablequantum noise is introduced;2. phase-sensitive amplification, in which one selected quadrature can be amplified withlower added noise under appropriate phase matching.The primary endpoint is a prespecified detector-level signal-to-noise metric comparing theparametric amplifier with a gain-matched reference architecture.Secondary endpoints include the measured noise figure, effective gain, detection threshold,and downstream classification performance.The v3.1 framework introduces preregistered performance thresholds, a locked test set,independent calibration, blocked randomization, blinded analysis where feasible, hierarchical. statistical models, uncertainty propagation, multiplicity control, negative-control experiments,saturation diagnostics, and explicit falsification criteria.The proposal does not claim a universal amplification advantage, quantum supremacy, orclinical diagnostic capability.