Phenomenological Constraints on Quantum Coherence Reconstructibility
Minimal phenomenological extension in continuity with OFID-G
This page presents a minimal phenomenological framework for translating possible limits to the reconstructibility of quantum coherence into measurable experimental bounds, in continuity with the OFID-G formulation and the experimental framework.
In simple terms, this work defines how potential limits to quantum coherence reconstructibility can be translated into measurable experimental constraints.
The problem addressed in this work is how to interpret experimental outcomes in tests of quantum coherence reconstructibility. This framework does not assume the existence of residual effects, but defines how any such contribution would be identified, bounded, or excluded within a given experimental regime.
Overview
This framework does not introduce a new dynamical model. Instead, it decomposes observed decoherence into environmental and residual contributions, defining δres as the irreducible component not accounted for by known mechanisms.
Its role is to provide a minimal interface between the conceptual structure of OFID-G and standard methodologies of parameter estimation and sensitivity analysis in contemporary quantum experiments.
The central goal is therefore not to derive a specific microscopic mechanism, but to make explicit how possible residual effects can be expressed in a minimal form that is directly testable and constrainable.
Operational residual
The framework introduces δres as an operational residual contribution: the part of the observed loss of reconstructibility that remains after modeled environmental contributions have been subtracted.
In this sense, the residual is not a new observable added to experimental practice, but a unifying representation of deviations already accessed through interferometric or state-reconstruction protocols.
This formulation is broad enough to encompass observables such as the deviation between measured and predicted covariance matrices used in mesoscopic reconstruction-based tests.
Phenomenological parametrizations
Two generic classes of phenomenological behavior are considered.
The first is a continuous residual floor, in which δres increases smoothly with the explored parameter space and may approach a finite asymptotic value.
The second is a threshold-like behavior, in which no residual effect is present below a critical value Ξc, while a finite contribution emerges above it.
These parametrizations are not presented as derived predictions of the underlying framework, but as minimal experimentally testable ansätze allowing null results to be translated into upper bounds on residual amplitudes or lower bounds on possible transition thresholds.
Experimental interpretation
The effective parameter Ξ is constructed from experimentally controllable quantities such as mass, spatial delocalization, interrogation time, and gravitational configuration.
Existing platforms already probe complementary regions of this effective parameter space through matter-wave interferometry, atomic interferometry, and optomechanical or levitated nanoparticle systems.
Within this framework, null experimental results can be interpreted quantitatively either as upper bounds on continuous residual contributions or as lower bounds on possible transition regimes that remain beyond current experimental reach.
In this way, the framework provides a scalable bridge between conceptual hypotheses and the progressive improvement of experimental sensitivity.
This framework complements the experimental protocol by specifying how positive detections, ambiguous signatures, and null results should be translated into phenomenological constraints.
Preprint
📄 DOI: 10.5281/zenodo.19387852
Zenodo: View on Zenodo