A complete 23-phase empirical stability framework for superconducting qubits (P01–P23), including coherence drift, shadow-zone transitions, measurement-error regimes, gate-error drift dynamics, frequency-domain behaviour (PSD, Allan deviation), changepoint segmentation, segment-length statistics, drift-intensity mapping and predictive modelling (ARIMA / ARFIMA / HMM).This release includes the fully integrated QE2 Framework, linking coherence-based diagnostics with gate-error stability into one unified empirical interpretation of qubit stability.All methods, figures and analyses are fully reproducible across multiple IBM Quantum devices.
A complete 23-phase empirical stability framework for superconducting qubits (P01–P23), including coherence drift, shadow-zone transitions, measurement-error regimes, gate-error drift dynamics, frequency-domain behaviour (PSD, Allan deviation), changepoint segmentation, segment-length statistics, drift-intensity mapping and predictive modelling (ARIMA / ARFIMA / HMM).This release includes the fully integrated QE2 Framework, linking coherence-based diagnostics with gate-error stability into one unified empirical interpretation of qubit stability.All methods, figures and analyses are fully reproducible across multiple IBM Quantum devices.
Over the past seven weeks, I’ve shared a sequence of connected reports addressing practical quantum operation under realistic hardware conditions. The first report, Empirically Integrated Qubit Stability (P01–P23 + QE2 Framework), presented a large-scale empirical analysis of real qubit behaviour, including drift dynamics, shadow zones, and correlated error structures observed across multiple devices. The second report, introducing PULS as a preventive stabilization approach, showed how noise exposure and drift accumulation during active operation can be reduced by restructuring when and how qubits are driven. The third report completes this sequence as a Public Safe Continuity Report, addressing the residual effects that remain even after effective preventive stabilization. Taken together, these three reports describe a layered operational stability architecture: • Empirical stability characterization — identifying and quantifying real-world instability, drift cycles, and error correlation• Active stabilization (PULS) — reducing exposure to noise and slowing drift accumulation during operation• Operational continuity — limiting disruption and preserving meaningful execution when instability events still occur When evaluated as an integrated system, these layers produce measurable system-level effects: • ~80% reduction in accumulated operational downtime• ~60% reduction in downstream error impact• ~30% reduction in long error bursts and temporal clustering These improvements are achieved without introducing new logical assumptions or modifying quantum-mechanical constraints. The framework does not replace quantum error correction, but operates strictly in the pre-logical operational regime, and remains stable under stressed operating conditions. Rather than treating instability as a single phenomenon, this work shows it to consist of three distinct operational problems — empirical stability behaviour, active stabilization, and continuity under failure — each requiring its own dedicated layer. This report is published as a Public Safe Report. It presents architectural structure and system-level behaviour while intentionally excluding implementation parameters, control logic, and integration details. Those elements remain protected and are available only under appropriate confidentiality.
Description This report introduces Drive-Response Stability Divergence (DRS), a public diagnostic framework revealing architecture-dependent stability differences in superconducting qubits under driven-response conditions. The public edition presents abstracted and safe-release evidence illustrating dynamic stability behaviour beyond traditional idle-state calibration metrics (T1, T2, readout error). While the full stabilisation mechanisms and implementation logic remain restricted under patent protection and available only under NDA, this report establishes the conceptual diagnostic foundation and structural implications of driven-response instability. The work extends earlier empirical qubit-stability analysis into the dynamic-drive regime and provides a framework for evaluating drift-resilient quantum hardware architectures.
We present empirical evidence that a thermodynamic stability metric Φ = I × ρ − α × S serves as a leading indicator of qubit degradation on IBM Quantum hardware and provides practical discrimination across multiple circuit and hardware validation settings. Analysis of 445 qubits across three backends (ibm_fez, ibm_marrakesh, ibm_torino) over 30 days demonstrates 100% detection of IBM-reported status transitions in the tested window, with average lead time of 163 hours (6.8 days) and maximum lead time of 480 hours (20 days) for warnings occurring at least 24 hours before degradation. The coherence ratio ρ = T2/T1 accounts for 70 to 78% of component contribution in backend-split component analysis, suggesting a substantially larger role for coherence information in stability monitoring than is reflected in prior qubit-selection heuristics. Cross-backend transfer achieves 98.4% balanced accuracy without retraining. Additional validation demonstrates 4.34x higher two-qubit gate error for low-Φ qubit pairs, 8 to 18x error discrimination across circuit depths from 10 to 500 gates, and correct identification of all five failed qubits in the tested dataset via Φ < 0. These results establish Φ as an early warning indicator for quantum processor maintenance and a practical qubit selection metric. The methods described in this paper are the subject of U.S. Provisional Patent Application No. 63/952,883 (filed January 2, 2026). No license to implement or commercialize the described methods is granted by this publication. All rights reserved.
Coherence measurements as high as 0.9995 on IBM hardware and 0.975 on Rigetti—persisting even at extreme single-qubit depths up to 2048 H–S–H blocks—define an empirical outlier far beyond anything predicted by standard decoherence models. This stability emerges precisely where contemporary theory expects rapid collapse toward mixed states, yet the circuits remain sharply ordered and depth-insensitive. This behavior is empirically and mathematically congruent with the two-parameter unified Kālīon Field, a scalar–tensor framework shown to resolve the Hubble tension, reproduce the MOND acceleration law, unify dark-sector phenomenology, reduce quantum entropy, preserve coherence under non-unital evolution, constrain vacuum curvature, and organize gravitational–informational dynamics within a single coupled structure. The paper presents the anomaly independently of interpretation: fidelities and entropies are reconstructed directly from raw IBM and Rigetti outputs; the full dataset shows no monotonic decay toward the p₀ = 0.5 baseline; and the significance relative to a mixed-state null is extreme. The alignment with the Kālīon predictions is documented but not presupposed. All raw data, circuit reconstructions, and analysis scripts accompany this Zenodo deposit for full replication and scrutiny.
Quantum Stabilization Dynamics (QSD) is a framework for monitoring and controlling multichannel dynamical systems — quantum processors, solar-wind plasma, gravitational-wave detectors, optical links. It begins with a scalar coherence-field Lagrangian and derives, through four successive layers, a closed-form stability bound: angular error decays geometrically and stays bounded under any external disturbance. The central structural result proves that the TriDelta covariance coordinates are exact algebraic functions of two-node sync-model parameters, and that a unique operating angle θ* = 22.48° emerges from the TriLock balance condition. IBM quantum hardware (ibm_fez, 156-qubit) independently measures θ_source = 22.47° across 9/9 positive-gain passes — within measurement precision of the theoretical value. Validation covers nine real-instrument events across five domains: solar X-rays, solar wind, geomagnetic activity, gravitational waves, and optical links. Heterogeneity is zero (I² = 0%), pooled signal Zθ = +36.2 ± 2.4. Every free parameter is explicitly identified and accounted for.Provisional Patent #64/035,024 (April 10, 2026). GitHub: https://github.com/apmannino-design/qsd-phase-bounded-transport
Advanced quantum technologies increasingly depend on the stable operation of open, noisy, history-dependent systems. Examples include superconducting qubits, trapped ions, NVcenters, quantum sensors, photonic platforms, topological devices, and hybrid quantumclassical feedback architectures. Standard quantum theory provides the correct microscopic dynamical framework, but practical quantum engineering often requires an additional operational layer capable of detecting phase drift, coherence loss, memory effects, and regime transitions before they degrade device performance or propagate into unsafe control decisions. This manuscript proposes a conservative Spiral-Time operator layer for quantum engineering. The central object is a triadic phase-memory embedding ψ(t) = t+iϕ(t)+jχ(t), where t denotes external temporal ordering, ϕ(t) encodes phase/coherence state, and χ(t) encodes finite memory, torsion, or abrupt divergence. From measured system observables, the framework constructs a deterministic instability functional ∆Φ(t), interpretable as a distance from a calibrated stability manifold in structure–information–coherence space. The operator is not proposed as a replacement for quantum mechanics, Lindblad dynamics, process-tensor theory, optimal control, or Hamiltonian engineering. Instead, it is formulated as an auditable diagnostic and supervisory interface that maps observed quantum-system trajectories into control-relevant variables. A closed-loop extension is introduced in which the Spiral-Time state informs physically allowed control inputs such as laser phase, pulse timing, magnetic field, gate voltage, measurement basis, cooling schedule, or feedback Hamiltonian terms. The manuscript defines recovery limits, admissibility conditions, validation protocols, falsification criteria, and safety boundaries. Its purpose is to establish a rigorous roadmap for testing whether phase-memory diagnostics can improve regime prediction, stabilization, and auditability in open quantum technologies.