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.
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.
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 Superconducting qubit relaxation rates are known to fluctuate on millisecond timescales due to time-varying system–environment couplings. Standard characterisation methods average over these fluctuations, obscuring regime transitions in effective coherence. This work introduces a task-calibrated boundary-geometry formulation of qubit stability in which the time-dependent decoherence-per-gate ratio ρ(t) defines a stability margin relative to a declared performance threshold ρ*. A threshold-conditional scheduling policy is derived that parks computation when the stability margin becomes negative. Ensemble stochastic telegraph simulations (N = 200 accepted realisations) demonstrate 78.7% per-gate error reduction at equal useful-gate count and 19.7% active-time reduction, in agreement with analytical prediction (79.2%). Estimator-delay sensitivity is quantified via a dimensionless parameter τ̂ = τ_est · k↓, yielding a falsifiable requirement τ̂ ≲ 0.2 for sustained benefit. The framework does not claim microscopic mechanism closure. It provides a governance-constrained, falsifiable control architecture for stabilising coherence under rapid relaxation fluctuations and defines explicit promotion/demotion conditions under TRIDENT/USDOP v1.2. Keywords Superconducting qubits Qubit relaxation fluctuations Real-time adaptive estimation Decoherence mitigation Threshold-conditional scheduling Coherence stabilisation Boundary-state formalism Stability margin Telegraph noise model Stochastic control Estimator latency Quantum hardware control architecture TRIDENT governance USDOP v1.2 SHRF framework Related corpus works • TRIDENT-Z0 Diagnostic Framework: USDOP v1.2https://doi.org/10.5281/zenodo.18721255 • Optimization as Fragility: Boundary Over-Control and Coherence Collapsehttps://doi.org/10.5281/zenodo.18686580
Superconducting qubit performance is commonly assessed using snapshot calibration metrics such as coherence time (T2) and readout error probability. While useful for short-term characterization, such static representations obscure temporal structure present in long-term device operation. This technical note presents a time-resolved empirical analysis of publicly available calibration data from the IBM Quantum Athens superconducting quantum processor. By treating calibration records as a chronologically ordered time series, the analysis reveals recurring temporal alignment between abrupt coherence collapses and short-lived bursts of elevated readout error. The analysis is descriptive and model-agnostic by design. No microscopic noise sources, control mechanisms, or causal relationships are inferred. The observations are restricted to pre–error-correction behavior and are intended to document non-stationary, structured behavior that is obscured when calibration data are interpreted solely as static snapshots. These observations are relevant for scheduling, benchmarking, and any methodology that assumes stationary calibration parameters.
We present hereby a high-level hardware-agnostic framework for a resonant-control-based approach to stabilizing quantum processors. The method improves coherence and logical error performance by aligning control operations with intrinsic system response features through generalized resonance and quasi-aperiodic timing. This paper intentionally omits implementation details, proprietary algorithms, and confidential calibration methods to avoid prejudicing ongoing patent proceedings. Instead, we focus on conceptual formalism, theoretical motivation, and simulated indicators of performance improvement. Detailed implementation remains confidential pending patent issuance and licensing discussions. Patent pending (U.S. Provisional Application filed November 2025). All specific resonant carrier frequencies, base timing periods, numerical ratio scaling constants, envelope-shaping functions, and adaptive feedback algorithms are trade secrets of Dubito Inc. and are not disclosed in this work The resonant-control architecture (RCA) introduced in this work suggests a conceptual shift in how quantum decoherence and control noise are addressed at scale. Rather than treating decoherence purely as a consequence of microscopic material limitations or stochastic fluctuations, RCA frames the problem in terms of macroscopic dynamical structure, namely, the presence of device-specific resonance features and stability basins embedded within the quantum system’s effective response landscape. By aligning control pulses with these structural features, one can reduce sensitivity to low-frequency drift and non-Markovian disturbances without requiring explicit modeling of their origins. From a theoretical standpoint, RCA generalizes the idea behind dynamical-decoupling and filter-function approaches, but differs critically in its departure from strict periodicity or analytically prescribed timing sequences. Whereas classical decoupling protocols rely on precise, regular intervals with well-defined spectral notches, our resonant alignment leverages quasi-aperiodic intervals to avoid aliasing while maintaining coherence with intrinsic dynamical modes. This opens a pathway to more stable long-time behavior, especially under significant drift or structured noise. Another key implication concerns scalability. Fault-tolerant quantum computing requires the ability to sustain high-rate syndrome extraction and realtime feedback, not only sufficiently low physical error rates. A reduction in effective sensitivity to slow drifts or burst-like errors directly impacts the stability of logical operations, potentially easing the overhead associated with syndrome cycles and decoder latency. Though we intentionally avoid specifying exact performance metrics, simulation trends indicate that RCA can modify the effective scaling constants governing logical error suppression, providing a complementary layer to code-level corrections. Because RCA is hardware-agnostic, its implications extend across modalities, including superconducting qubits, bosonic encodings, trapped ions, and photonic platforms. Each modality has distinct noise profiles, yet all exhibit some form of internal dynamical structure that can be harnessed for resonant alignment. This offers a unifying perspective that could aid in cross-platform benchmarking and co-design strategies between hardware and control layers. Finally, RCA opens conceptual avenues for understanding the interplay between classical control and quantum dynamics. By abstracting away implementation details while emphasizing structural alignment, it establishes a theoretical foundation for future studies on stability basins, quasi-periodic scheduling, and adaptive resonance identification in noisy quantum systems. The RCA framework generalizes known dynamical-decoupling and frequency-modulated approaches while remaining distinct in its treatment of internal resonance and adaptive quasi-aperiodicity. Because implementation-specific algorithms are withheld, the paper serves as a conceptual introduction rather than a disclosure of patent-sensitive information. We have outlined a resonant-control framework that enhances quantum coherence and suppresses logical error accumulation by exploiting intrinsic dynamical structure within quantum hardware. The approach is fundamentally architecture-neutral and can be integrated into existing control stacks without requiring modifications to qubit design or measurement infrastructure. While the specific algorithms and calibration methods are withheld to preserve ongoing patent protections, the conceptual and theoretical basis presented here provides a foundation for future analyses and controlled experimental evaluations. This work suggests that progress toward scalable quantum computation may depend as much on control-level innovation as on hardware improvements. Resonant alignment and quasi-aperiodic timing sequences offer a pathway for mitigating drift sensitivity and noise coupling, potentially reducing the resource overhead associated with quantum error correction. Future research will focus on detailed modeling, cross-platform validation, and integration with advanced decoding and feedback systems. In summary, the resonant-control architecture represents a promising direction for improving quantum system stability and should be considered an essential component of next-generation quantum control and fault tolerance. We present a trade-secret-safe exposition of a resonant-control approach to improving quantum coherence and logical error performance. Detailed mechanisms remain proprietary pending patent review. Nov. 25, 2025, Daniel Solis Dubito Inc. www.dubito-ergo.com
Abstract Non-Markovian noise can be a significant source of errors in superconducting qubits. We develop gate sequences utilising mirrored pseudoidentities that allow us to characterise and model the effects of non-Markovian noise on both idle and driven qubits. We compare three approaches to modelling the observed noise: (i) a Markovian noise model, (ii) a model including interactions with a two-level system (TLS), (iii) a model utilising the post Markovian master equation, which we show to be equivalent to the qubit-TLS model in certain regimes. When running our noise characterisation circuits on a superconducting qubit device we find that purely Markovian noise models cannot reproduce the experimental data. Our model based on a qubit-TLS interaction, on the other hand, is able to closely capture the observed experimental behaviour for both idle and driven qubits. We investigate the stability of the noise properties of the hardware over time, and find that the parameter governing the qubit-TLS interaction strength fluctuates significantly even over short time-scales of a few minutes. Finally, we evaluate the changes in the noise parameters when increasing the qubit drive pulse amplitude. We find that although the hardware noise parameters fluctuate significantly over different days, their drive pulse induced relative variation is rather well defined within computed uncertainties: both the phase error and the qubit-TLS interaction strength change significantly with the pulse strength, with the phase error changing quadratically with the amplitude of the applied pulse. Since our noise model can closely describe the behaviour of idle and driven qubits, it is ideally suited to be used in the development of quantum error mitigation and correction methods.