Traditional Quantum Error Correction (QEC) methods maintain logical qubit states by artificially overriding native quantum dynamics [3], relying on redundancy, frequent measurements, and external feedback. This work proposes an alternative model for intrinsic quantum stabilization via gravitooscillatory phase alignment [5], [6]. We introduce the theoretical stabilizer term S(Φ) = λG 1+γΦ 2 , where long-term coherence emerges naturally from passive coupling with structured vibrational fields. To operationalize this model, we developed the STDJ algorithm-an acronym in Portuguese for Sistema Temporal de Dobra Justa ("System of Temporal Just-Fold")-a computational implementation that harmonically interpolates evolving qubit signals. Numerical simulations reveal that quantum systems governed by H = H0 + S(Φ) exhibit extended coherence times compared to conventional Hamiltonians, even under decoherence channels [1]. Measured fidelities F (t) remain above 0.99 across temporal evolution, supporting the hypothesis that coherence can be maintained via symbolic self-resonance [15]. These findings point to a paradigm where quantum robustness originates not from error negation, but from oscillatory alignment within multidimensional phase spaces. Together, the STDJ framework and the stabilizing term S(Φ) reveal a resonance-based coherence landscape with implications for scalable quantum architectures beyond error correction.
Traditional Quantum Error Correction (QEC) methods maintain logical qubit states by artificially overriding native quantum dynamics [3], relying on redundancy, frequent measurements, and external feedback. This work proposes an alternative model for intrinsic quantum stabilization via gravitooscillatory phase alignment [5], [6]. We introduce the theoretical stabilizer term S(Φ) = λG 1+γΦ 2 , where long-term coherence emerges naturally from passive coupling with structured vibrational fields. To operationalize this model, we developed the STDJ algorithm-an acronym in Portuguese for Sistema Temporal de Dobra Justa ("System of Temporal Just-Fold")-a computational implementation that harmonically interpolates evolving qubit signals. Numerical simulations reveal that quantum systems governed by H = H0 + S(Φ) exhibit extended coherence times compared to conventional Hamiltonians, even under decoherence channels [1]. Measured fidelities F (t) remain above 0.99 across temporal evolution, supporting the hypothesis that coherence can be maintained via symbolic self-resonance [15]. These findings point to a paradigm where quantum robustness originates not from error negation, but from oscillatory alignment within multidimensional phase spaces. Together, the STDJ framework and the stabilizing term S(Φ) reveal a resonance-based coherence landscape with implications for scalable quantum architectures beyond error correction.
Quantum computing faces foundational challenges due to quantum decoherence [1], which destabilizes qubits through environmental interactions [12]. Traditional solutions, including quantum error correction [4] and cryogenic cooling [2], require complex infrastructure, hindering scalability. In this work, we propose an alternative theoretical approach based on a gravitationally-motivated oscillatory term S(Φ), embedded within a modified Hamiltonian. The evolution of the quantum state is derived from the Schrödinger equation with this additional stabilizing component. Using numerical simulations via QuTiP, we compare qubit dynamics with and without the influence of S(Φ), measuring quantum fidelity F (t) over time. The results show that this term can significantly enhance coherence time without the need for additional physical control mechanisms. These findings suggest that oscillatory external influences-such as gravitational modulation-might serve as a novel path for passive stabilization of quantum systems, potentially informing new directions for fault-tolerant algorithmic dynamics.
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
Abstract: The scalability of Noisy Intermediate-Scale Quantum (NISQ) devices remains fundamentally limited by decoherence, which conventional dynamical decoupling and quantum error correction only partially mitigate. This paper presents a transition from passive noise suppression to active dynamical stabilization through controlled modulation of the effective state-space metric. Within the Lie-algebraic observable-dependent renormalization (LA-ODR) framework, we introduce the Temporal Phase-Locked Loop (TPLL) — an active feedback controller that drives the temporal susceptibility χ_τ toward the globally stable fixed point χ_τ* = λ_nat/(λ_ctrl + λ_nat) via the Kyiv–Ohnishi hybrid flow: dχ_τ/dt = −α·Γ₀·(χ_τ)^(β+1) − λ_ctrl·χ_τ + λ_nat·(1−χ_τ). Numerical simulations demonstrate the emergence of metastable coherence plateaus extending coherence times from ~100 µs to ~1.5 ms under realistic hardware benchmarks (FPGA latency Δt < 500 ns). Three operationally distinct zones are characterized by χ_τ thresholds, and two experimentally distinguishable signatures — Phase Inertia and Avalanche Collapse — are predicted. The TPLL is compared with dynamical decoupling, quantum error correction, and discrete time crystals, establishing complementarity rather than competition. The mathematical foundations rest on four global stability theorems via Lyapunov analysis and Chiba renormalization-group flow. Index Terms: Quantum coherence; decoherence control; temporal susceptibility; LA-ODR; Temporal Phase-Locked Loop (TPLL); Kyiv–Ohnishi flow; NISQ devices; open quantum systems; Lyapunov stability; Lie algebra; FPGA quantum control; nonlinear dynamics.
Current quantum error correction (QEC) schemes require extensive classical processing overhead: ancilla measurement, syndrome decoding, and active feedback represent ~99% of the computational cost. We propose a fundamentally different approach: autonomous QEC via Fibonacci-Hopfield networks, in which error correction emerges from the natural dynamics of the system without external intervention. The key insight, formalized in the recently proven phinary framework (Harnessing the Phinary System, 2026), is that Fibonacci-structured quantum codes have error-detection properties that are logically necessary consequences of the non-adjacent-ones constraint — not engineering choices. We demonstrate that a quantum Hopfield network with Fibonacci-spaced energy levels realizes these properties naturally: the attractor states (logical codewords) correspond to stable harmonic modes, and errors (decoherence events) are automatically corrected by the system’s tendency to relax toward its Fibonacci attractors. We propose a concrete implementation on photonic qubits using time-bin encoding, where temporal modes |𝑡𝑛⟩ at Fibonacci time-delays Δ𝑡_𝑛 = 𝑇₀/𝜑^𝑛 constitute the physical register. This architecture achieves: (i) room-temperature operation (photons maintain coherence at 300 K); (ii) autonomous correction without classical feedback; (iii) content-addressable storage (robustness to partial errors); and (iv) natural integration with the Extended Integrated Information Theory (EIIT) framework, wherein a system achieving Φ_EIIT > Φ_threshold generates self-sustaining phase coherence. We provide threshold error rates, capacity bounds, and a 5-step experimental protocol toward a 10-logical-qubit proof-of-concept.
The performance of a given quantum error correction (QEC) code depends upon the noise model that is assumed. Independent Pauli noise, applied after each quantum operation, is a simplistic noise model that is easy to simulate and understand in the context of stabilizer codes. Although such a noise model is artificial, it is equivalent to independent, random, unbiased qubit rotations. What about spatially or temporally correlated qubit rotations? Such a noise model is applicable to global operations (e.g., NMR or ESR), common control sources (e.g., lasers), or slow drift (e.g., charge or magnetic noise) in various qubit technologies. In the worst case, such errors can combine constructively and result in a post-correction failure rate that increases with the number of error correction cycles. However, we show that this worst case does not generally arise unless taking active corrective actions while performing QEC. That is, by employing virtual Pauli frame updates ("passive" error correction) rather than physical corrections ("active" error correction), coherent errors do not compound appreciably. Starting in a random Pauli frame is also advantageous. In fact, through perturbation theory arguments and supporting numerical simulations, we show that the logical qubit performance beyond distance 3 for correlated single-qubit Hamiltonian noise models (i.e., global errant qubit rotations), when employing these "lazy" strategies, essentially matches the performance of Pauli noise model with the same process fidelity (fidelity after one application). In a more general circuit model of noise, correlations may add constructively within syndrome extraction rounds but Pauli frame randomization from passive error correction mitigates this effect across multiple rounds.
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