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Quantum Computing Error Mitigation via the Scalar Temporal Field Ontology: Temporal Dressing, Coherence Stabilization, and τ-Noise Control

Howe, Cale Scott

Published Nov 11, 2025• 0 citations
Publisher

Abstract

This paper extends the Scalar Temporal Field Ontology (STFO) to quantum information processing, showing that fluctuations of the temporal scalar field τ(xμ) can passively mitigate qubit error rates by altering phase accumulation and suppressing environmental noise. Qubits couple to τ via L_int = −γτ Jμ ∂μ τ, producing:(1) spectral filtering of dephasing channels through τ-exchange,(2) exponential suppression of effective phase noise Γ_eff = Γ_0 exp[−γτ² Var(Δτ)/2], and(3) direction-dependent coherence enhancement aligned with ∇τ. Integrating out τ-fluctuations yields an effective noise kernel Kτ(ω) = γτ² ω² / (ω² + q² + mτ²), suppressing high-frequency noise while stabilizing low-frequency drift through gradient alignment. This leads to longer effective T₂ times without requiring active error correction. We derive the associated kernel, coherence scaling laws, qubit-gradient angle dependence, and propose diagnostic sequences including CPMG, Ramsey drift scans, and noise spectroscopy around ω ~ mτ. Applications to superconducting qubits, trapped ions, and neutral-atom platforms are discussed. This work suggests STFO provides a universal, passive error-mitigation layer for quantum hardware.

DOI
10.5281/zenodo.17576870

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arXiv:2206.10669•Physical Review Applied•Oct 11, 2022•16 citations
This paper extends the Scalar Temporal Field Ontology (STFO) to quantum information processing, showing that fluctuations of the temporal scalar field τ(xμ) can passively mitigate qubit error rates by altering phase accumulation and suppressing environmental noise. Qubits couple to τ via L_int = −γτ Jμ ∂μ τ, producing:(1) spectral filtering of dephasing channels through τ-exchange,(2) exponential suppression of effective phase noise Γ_eff = Γ_0 exp[−γτ² Var(Δτ)/2], and(3) direction-dependent coherence enhancement aligned with ∇τ. Integrating out τ-fluctuations yields an effective noise kernel Kτ(ω) = γτ² ω² / (ω² + q² + mτ²), suppressing high-frequency noise while stabilizing low-frequency drift through gradient alignment. This leads to longer effective T₂ times without requiring active error correction. We derive the associated kernel, coherence scaling laws, qubit-gradient angle dependence, and propose diagnostic sequences including CPMG, Ramsey drift scans, and noise spectroscopy around ω ~ mτ. Applications to superconducting qubits, trapped ions, and neutral-atom platforms are discussed. This work suggests STFO provides a universal, passive error-mitigation layer for quantum hardware.
Part VII of the Temporal Information Dynamics (TID) series develops the full quantum-information layer of the Scalar Temporal Field Ontology (STFO), where time is a physical scalar field τ(x) and information evolves along its integral curves. This work extends Parts I–VI by deriving the complete quantum dynamics implied by τ-geometry: the τ-modified Schrödinger equation governing intrinsic temporal evolution, the temporal decoherence kernel generated by fluctuations δτ, a covariant τ-Lindblad master equation for open quantum systems, directional entanglement flow induced by ∇μτ, τ-dependent deformations of the quantum Fisher metric, modified quantum-channel capacities, coherence lengths, and error exponents, τ-corrected propagators, Green’s functions, and canonical commutators, and a fully geometric τ-weighted path-integral formulation. Across all levels—Hamiltonian, thermodynamic, geometric, and quantum—information flow becomes a direct probe of τ-gradients and temporal curvature. The resulting framework is testable in atom interferometry, optical and microwave clock networks, spin-echo experiments, and quantum computing hardware. This paper completes the quantum-information pillar of STFO and unifies classical information flow, thermodynamic irreversibility, geometric curvature, and quantum coherence into one continuous, falsifiable theory of temporal dynamics.
This work derives a conservative, operational consequence of the Scalar Temporal Field Ontology (STFO), in which time is modeled as a physical scalar field τ(xμ)\tau(x^\mu)τ(xμ) whose timelike gradient defines a preferred notion of evolution. We show that any two-path interference experiment (optical or matter-wave) yields a quantitative bound on unresolved temporal path-difference fluctuations. Interferometric visibility is identified with the characteristic function of the temporal fluctuation δΔτ\delta\Delta\tauδΔτ, leading to a model-independent constraint on the root-mean-square temporal noise in terms of the measured visibility and the experiment’s phase-generating energy scale. The analysis is intentionally operational and conservative. It does not modify standard quantum probabilities and is compatible with conventional environmental decoherence, appearing as an additional multiplicative coherence factor. Null results therefore impose direct experimental bounds on temporal-field fluctuations within the STFO framework. This paper interfaces quantum foundations, interferometry, and the problem of time, and provides a falsifiable, experiment-facing bridge between the Scalar Temporal Field Ontology and precision laboratory tests.
Abstract: The scalability of Noisy Intermediate-Scale Quantum (NISQ) devices remains fundamentally limited by stochastic decoherence, which traditional passive shielding and resource-heavy quantum error correction (QEC) struggle to overcome. Here, we propose a paradigm shift from passive noise mitigation to active internal phase stabilization. By integrating the Lie-algebraic renormalization (LA-ODR) framework with a dynamic model of temporal susceptibility (χ_τ), we derive a nonlinear control law for quantum coherence. We demonstrate that decoherence can be treated as a deterministic dynamical process governed by the feedback equation dχ_τ / dt = −α · Γ_τ · χ_τ + λ · (1 − χ_τ). Our numerical simulations confirm the formation of metastable coherence plateaus, where the effective qubit lifetime is extended significantly beyond the standard Lindbladian limit (e.g., from 100 µs to 1.5 ms in transmon-based models). We further specify a hardware-ready Temporal Phase-Locked Loop (TPLL) architecture, proving that with control latencies below 500 ns, active synchronization of the temporal metric becomes feasible on modern FPGA-based controllers. This framework provides a path toward fault-tolerant quantum computing by enabling fidelity-by-design at the physical layer, potentially providing a substantial reduction in QEC overhead by maintaining high physical fidelity prior to logical encoding. Keywords nonlinear phase stabilization; temporal susceptibility χτ; Lie-observable-dependent renormalization (LA-ODR); fixed-point Lindbladian; quantum decoherence; active feedback control; temporal phase-locked loop (TPLL); NISQ devices; superconducting qubits; cold atom arrays
The Scalar Temporal Field Ontology (STFO) treats time as a physical scalar field whose spacetime gradients define causal ordering and temporal directionality. While prior work established the classical dynamics and effective field theory structure of STFO, a consistent formulation of quantum mechanics requires that quantum evolution be defined without reference to an external time parameter. In this work quantum mechanics is derived as unitary evolution along the temporal scalar field itself. Using a covariant path integral formulation, Schrödinger evolution is shown to arise as a gauge-fixed description of dynamics along the normalized temporal congruence. Measurement and the emergence of classical behavior follow from controlled temporal decoherence induced by EFT-suppressed matter couplings. The framework preserves standard quantum mechanics in weak-field regimes while predicting small, environment-dependent deviations accessible to precision experiments.Note:Earlier unified formulations of the Scalar Temporal Field Ontology admit an intrinsic ultraviolet regularization through nonlinear temporal feedback that dynamically saturates stress–energy. In the present phenomenological and quantum analyses, we work explicitly in the controlled low-energy effective limit of this theory, where predictions can be extracted and compared to observations without invoking the full ultraviolet dynamics.
This work constitutes Part VIII of Temporal Information Dynamics (TID) within the Scalar Temporal Field Ontology (STFO). Building on the geometric, thermodynamic, and quantum-informational foundations established in Parts I–VII, this installment develops the τ-adjoint formalism that governs non-Hermitian, dissipative, and information-nonconserving quantum evolution in the presence of temporal curvature and τ-noise. Where Part VII introduced τ-modified Schrödinger dynamics, decoherence kernels, τ-Lindblad evolution, and entanglement flow, Part VIII extends the framework by constructing: • the τ-adjoint operator associated with the effective disformal metric• a formally complete non-Hermitian τ-Hamiltonian governing open-system evolution• τ-dependent quantum continuity relations, including probability flux deformation• a temporal adjoint propagator and τ-corrected Green’s functions• the τ-antiunitary map connecting reversed temporal flow to geometric curvature• a unified treatment of τ-dissipation, decay channels, and information leakage• experimental predictions in interferometry, quantum optics, quantum hardware, and metrology This completes the quantum-dynamical layer of Temporal Information Dynamics. The τ-adjoint construction reveals how temporal geometry—through gradients, curvature, and fluctuations—induces non-Hermitian corrections, anisotropic decay rates, direction-dependent decoherence, and modified causal structure. As in Parts I–VII, all results are derived directly from the scalar temporal field τ(x), without phenomenological assumptions. Together with the previous installments, Part VIII advances TID into a complete, falsifiable, and fully geometric framework linking quantum evolution, information theory, decoherence, entanglement, channel capacities, Fisher information, and non-Hermitian dynamics, all unified by the scalar temporal field τ. Author: Cale Scott HoweProgram: Scalar Temporal Field Ontology (STFO)Contact: calescotthowe@gmail.com
Superconducting circuits are a leading platform for quantum computing. However, their coherence times are still limited and exhibit temporal fluctuations. Those phenomena are often attributed to the coupling between qubits and material defects that can be well described as an ensemble of two-level systems (TLSs). Among them, charge fluctuators inside amorphous oxide layers contribute to both low-frequency 1/f1/f1/f charge noise and high-frequency dielectric loss, causing fast qubit dephasing and relaxation. Moreover, spectral diffusion from mutual TLS interactions varies the noise amplitude over time, fluctuating the qubit lifetime. Here, we propose to mitigate those harmful effects by engineering the relevant TLS noise spectral densities. Specifically, our protocols smooth the high-frequency noise spectrum and suppress the low-frequency noise amplitude via depolarizing and dephasing the TLSs, respectively. As a result, we predict a drastic stabilization in qubit lifetime and an increase in qubit pure dephasing time. Our detailed analysis of feasible experimental implementations shows that the improvement is not compromised by spurious coupling from the applied noise to the qubit.