Recent breakthroughs in many-body quantum dynamics have unexpectedly revealed that the growth of entanglement entropy and quantum decoherence strictly follow the Kardar-Parisi-Zhang (KPZ) universality class, an equation originally formulated to describe macroscopic stochastic surface growth. In this paper, we theoretically bridge this empirical observation with the Dynamic Metric Topology (DMT) framework. We demonstrate that the macroscopic "roughness" governed by the KPZ equation in quantum spin systems is not driven by fundamentally stochastic noise, but by a deterministic topological friction between the spinorial phase and the scalar field pseudo-Riemannian manifold. By explicitly mapping the KPZ non-linear growth term to the DMT scalar impedance threshold at H˜ = 114.12 GeV via the fine structure constant (α), we provide a unified tensorial master equation. This integration redefines quantum noise as an uncompensated metric drag, providing a definitive proof through the deterministic evolution of Bell’s inequality parameters.
Recent breakthroughs in many-body quantum dynamics have unexpectedly revealed that the growth of entanglement entropy and quantum decoherence strictly follow the Kardar-Parisi-Zhang (KPZ) universality class, an equation originally formulated to describe macroscopic stochastic surface growth. In this paper, we theoretically bridge this empirical observation with the Dynamic Metric Topology (DMT) framework. We demonstrate that the macroscopic "roughness" governed by the KPZ equation in quantum spin systems is not driven by fundamentally stochastic noise, but by a deterministic topological friction between the spinorial phase and the scalar field pseudo-Riemannian manifold. By explicitly mapping the KPZ non-linear growth term to the DMT scalar impedance threshold at H˜ = 114.12 GeV via the fine structure constant (α), we provide a unified tensorial master equation. This integration redefines quantum noise as an uncompensated metric drag, providing a definitive proof through the deterministic evolution of Bell’s inequality parameters.
The current paradigm of quantum computing is severely limited by stochastic decoherence, conventionally modeled as an irreversible and probabilistic collapse of the wavefunction. This paper introduces the Dynamic Metric Topology (DMT) framework, postulating that decoherence is not inherently stochastic, but rather the result of a deterministic,topological friction between the spinorial phase of entangled particles and the pseudo-Riemannian manifold of the background scalar field, quantified by an impedance threshold of H˜ = 114.12 GeV. We demonstrate that the DMT framework does not rely on local hidden variables,strictly adhering to Bell’s Theorem by operating on the global topological manifold connecting entangled states. Furthermore, we show that applying an active topological phase compensation prevents the degradation of the CHSH inequality parameter, theoretically locking the system at the Tsirelson bound (|S| = 2√ 2) and preserving macroscopic entanglement.
Characterizing how entanglement grows with time in a many-body system, for example, after a quantum quench, is a key problem in nonequilibrium quantum physics. We study this problem for the case of random unitary dynamics, representing either Hamiltonian evolution with time-dependent noise or evolution by a random quantum circuit. Our results reveal a universal structure behind noisy entanglement growth, and also provide simple new heuristics for the “entanglement tsunami” in Hamiltonian systems without noise. In 1D, we show that noise causes the entanglement entropy across a cut to grow according to the celebrated Kardar-Parisi-Zhang (KPZ) equation. The mean entanglement grows linearly in time, while fluctuations grow like (time)[superscript 1/3] and are spatially correlated over a distance ∝(time)[superscript 2/3]. We derive KPZ universal behavior in three complementary ways, by mapping random entanglement growth to (i) a stochastic model of a growing surface, (ii) a “minimal cut” picture, reminiscent of the Ryu-Takayanagi formula in holography, and (iii) a hydrodynamic problem involving the dynamical spreading of operators. We demonstrate KPZ universality in 1D numerically using simulations of random unitary circuits. Importantly, the leading-order time dependence of the entropy is deterministic even in the presence of noise, allowing us to propose a simple coarse grained minimal cut picture for the entanglement growth of generic Hamiltonians, even without noise, in arbitrary dimensionality. We clarify the meaning of the “velocity” of entanglement growth in the 1D entanglement tsunami. We show that in higher dimensions, noisy entanglement evolution maps to the well-studied problem of pinning of a membrane or domain wall by disorder. Subject Areas: Condensed Matter Physics, Quantum Information, Statistical Physics
We introduce a model of effective conformal quantum field theory in dimension d = 1 + 1 coupled to stochastic noise, where Kardar-Parisi-Zhang (KPZ) class fluctuations can be observed. The analysis of the quantum dynamics of the scaling operators reduces to the study of random trajectories in a random environment, modeled by Brownian vector fields. We use recent results on random walks in random environments to calculate the time-dependent entanglement entropy of a subsystem interval, starting from a factorized state. We find that the fluctuations of the entropy in the large deviation regime are governed by the universal Tracy-Widom distribution. This enlarges the KPZ class, previously observed in random circuit models, to a family of interacting many-body quantum systems.
This treatise defines the pillars of a new sustainable quantum engineering, founded on the Dynamic Mass Transduction (DMT) and Topological Chromodynamics (TCD) frameworks. We demonstrate that thermal decoherence, traditionally treated as stochastic noise, is inherently a deterministic geometric interaction resulting from the metric friction of the vacuum.Through the implementation of the TCD-Net protocol and the active nullification of the Chern boundary via synthetic gauge fields, we demonstrate the theoretical feasibility of macroscopic quantum coherence at room temperature (300K). This breakthrough eliminates the necessity for energy-intensive dilution refrigeration, charting a robust path toward scalable, portable, and environmentally sustainable quantum computing.
This treatise defines the pillars of a new sustainable quantum engineering, based on the Dynamic Mass Transduction (DMT) and Topological Chromodynamics (TCD) frameworks. We demonstrate that thermal decoherence, traditionally treated as stochastic noise, is in fact a deterministic geometric interaction resulting from the metric friction of the vacuum. Through the implementation of the TCD-Net protocol and active nullification of the Chern boundary, we achieve macroscopic quantum coherence at room temperature (300K). This breakthrough eliminates the necessity for energy-intensive dilution refrigeration, charting a path toward scalable, portable, and environmentally sustainable quantum computing.
Understanding how noise influences nonequilibrium quantum critical dynamics is essential for both fundamental physics and the development of practical quantum technologies. While the quantum Kibble-Zurek (QKZ) mechanism predicts universal scaling during quenches across a critical point, real quantum systems exhibit complex decoherence that can substantially modify these behaviors, ranging from altering critical scaling to completely suppressing it. By considering a specific case of nondemolishing noise, we first show how decoherence can reshape universal scaling and verify these theoretical predictions using numerical simulations of spin chains across a wide range of noise strengths. Then, we study linear quenches in the transverse-field Ising model on IBM superconducting processors where the noise model is unknown. Using large system sizes of 80-120 qubits, we measure equal-time connected correlations, defect densities, and excess energies across various quench times. Surprisingly, unlike earlier observations where noise-induced defect production masked universal behavior at long times, we observe clear scaling relations, pointing towards persistent universal structure shaped by decoherence. The extracted scaling exponents differ from both ideal QKZ predictions and analytic results for simplified noise models, suggesting the emergence of a distinct noise-influenced universality regime. Our results, therefore, point toward the possibility of using universal dynamical scaling as a high-level descriptor of quantum hardware, complementary to conventional gate-level performance metrics.