Protocol learns k-local Lindbladians to ε accuracy with Õ(n^{2k}/ε²) samples and projects to valid generators; improves to log n under sparsity assumptions.
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Communications in Mathematical Physics 48(2), 119–130 (1976)
25 Pith papers cite this work, alongside 6,382 external citations. Polarity classification is still indexing.
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quant-ph 15 cond-mat.mes-hall 2 cond-mat.stat-mech 2 cond-mat.str-el 1 cs.LG 1 hep-ph 1 math-ph 1 nucl-th 1 physics.atom-ph 1roles
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A coherence law based on the readout-visible aligned coherence rate (a Rayleigh quotient of the noise generator) predicts gradient survival in noisy U(1)-equivariant QNNs, with simulations confirming R²=0.979 and a special channel test showing no loss where predicted.
Weyl dynamical maps are fully classified via phase-space subgroups; convex mixing of eternally non-Markovian dephasing maps yields Markovian semigroups, and irreducible eternally non-Markovian examples exist for qutrits.
A new compilation framework treats quantum channels as first-class objects via ChannelIR and LindFront, achieving up to 99% gate count reduction on Lindbladian benchmarks versus unoptimized and Stinespring baselines.
Dynamical correlations in a dissipative XXZ spin chain preserve early-time transport universality classes (ballistic, KPZ, diffusive) with magnon ballistic features at finite magnetization, but acquire exponential damping at long times under Lindblad evolution.
A model-free quantum stabilization framework uses sign-based Lyapunov descent, adaptive gains, and finite-difference LaSalle analogue to guarantee asymptotic stability in drift-free cases and practical ISS with unknown drift and noise.
The weakly dissipative 1D Fermi gas exhibits algebraic density decay for annihilation and coagulation reactions and a mean-field directed percolation absorbing-state phase transition, extending previous lattice results to continuous space.
An open quantum system framework with lattice-QCD-matched collapse operators shows that octet-to-singlet quantum regeneration substantially enhances bottomonium yields in heavy-ion collisions, though full quantitative agreement with LHC data remains elusive.
DQMW-Sample realizes a classically hard online learning primitive via dissipative quantum dynamics with sublinear regret and proven hardness for classical simulation including PH collapse.
Derives KL_W and R_DV regularizers from Girsanov's theorem that reduce infidelity by up to 50% and improve robustness to noise mismatch on single- and multi-qubit benchmarks including an IBM Kingston calibration.
A new quantum optimal control formalism for stroboscopic steady states and limit cycles in dissipative systems, implemented in Spinach with GRAPE-like scaling and distinct from Floquet-Lindblad approaches.
Coherent THz-to-optical conversion in warm Rb vapor via adjustable optical probe interference enables tomographic reconstruction of THz field amplitude and phase.
In quantum thermalization with detailed balance, internal energy becomes E(S, dot S), extending thermodynamics to include dynamical rates.
Lindblad dynamics admits a universal closed algebra of Hermitian operators with model dependence isolated in a single set of coefficients.
A multi-task SAC RL model discovers control pulses, evolution time, and segment numbers for 51 open quantum Hamiltonians, achieving high fidelity state transfer with better robustness to noise than GRAPE.
Formal proof that M-th order hypoequilibrium states constitute an invariant manifold under SEAQT evolution, with connection to RCCE for reduced-order modeling of nonequilibrium quantum systems.
For the Fano-Anderson model with Lorentzian spectral density, the TCL expansion converges within a radius set by the detuning-to-width ratio, and its second and fourth orders represent non-Markovianity differently as measured by Bures distance evolution.
Extends KMS-detailed balance constructions from open quantum systems to prepare microcanonical ensembles and other stationary states with criteria for efficient implementation.
Single-diffractive cross sections in pp and pbar p collisions are described by a three-parameter fit in a dephasing Lindblad framework yielding a consistent decoherence factor φ ≈ 0.89 that favors CPT-invariant dephasing over CP-invariant.
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
Neural-network ensembles match closed Gaussian systems but lack the open-system non-Hermitian generator and continuous spectrum required by nuclear optical models, yielding a structural negative on applicability.
Analytical solutions for displaced Gaussian states in driven damped oscillators show dynamics independent of bath temperature, unaffected by fast-rotating modes, and sharing exceptional point structure with the undriven case, valid also for time-dependent drives.
The DMP neutrino oscillation approximation is reframed as a degenerate-eigenvalue resummation that replaces a divergent parameter with a uniformly bounded one, and closed-form Jacobians for uncertainty propagation are collected.
Phase-space kinetic modeling with distribution function f(r,p,t) is applied to solid-state plasmas in nano-objects, adding quantum, spin, relativistic and dissipative features for linear and nonlinear response examples.
citing papers explorer
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Robust Structure Learning of $k$-local Lindbladians
Protocol learns k-local Lindbladians to ε accuracy with Õ(n^{2k}/ε²) samples and projects to valid generators; improves to log n under sparsity assumptions.
-
A Coherence Law for Trainability in Noisy Equivariant Quantum Neural Networks
A coherence law based on the readout-visible aligned coherence rate (a Rayleigh quotient of the noise generator) predicts gradient survival in noisy U(1)-equivariant QNNs, with simulations confirming R²=0.979 and a special channel test showing no loss where predicted.
-
Convexity and non-Markovianity of Weyl Maps
Weyl dynamical maps are fully classified via phase-space subgroups; convex mixing of eternally non-Markovian dephasing maps yields Markovian semigroups, and irreducible eternally non-Markovian examples exist for qutrits.
-
A Compilation Framework for Quantum Simulation of Non-unitary Dynamics
A new compilation framework treats quantum channels as first-class objects via ChannelIR and LindFront, achieving up to 99% gate count reduction on Lindbladian benchmarks versus unoptimized and Stinespring baselines.
-
Dynamical correlations in a dissipative XXZ spin chain
Dynamical correlations in a dissipative XXZ spin chain preserve early-time transport universality classes (ballistic, KPZ, diffusive) with magnon ballistic features at finite magnetization, but acquire exponential damping at long times under Lindblad evolution.
-
Model-Free Quantum Stabilization via Finite-Difference Lyapunov Control
A model-free quantum stabilization framework uses sign-based Lyapunov descent, adaptive gains, and finite-difference LaSalle analogue to guarantee asymptotic stability in drift-free cases and practical ISS with unknown drift and noise.
-
Reaction-diffusion dynamics of the weakly dissipative Fermi gas
The weakly dissipative 1D Fermi gas exhibits algebraic density decay for annihilation and coagulation reactions and a mean-field directed percolation absorbing-state phase transition, extending previous lattice results to continuous space.
-
Bottomonium production in an open quantum system approach with interactions from lattice quantum chromodynamic
An open quantum system framework with lattice-QCD-matched collapse operators shows that octet-to-singlet quantum regeneration substantially enhances bottomonium yields in heavy-ion collisions, though full quantitative agreement with LHC data remains elusive.
-
Dissipative Quantum Multiplicative Weights with Sampling Feedback: A Classically Hard Primitive Realized via Engineered Open-System Dynamics
DQMW-Sample realizes a classically hard online learning primitive via dissipative quantum dynamics with sublinear regret and proven hardness for classical simulation including PH collapse.
-
QMaxCal: Path-Space Regularization for Open Quantum Control via Girsanov's Theorem
Derives KL_W and R_DV regularizers from Girsanov's theorem that reduce infidelity by up to 50% and improve robustness to noise mismatch on single- and multi-qubit benchmarks including an IBM Kingston calibration.
-
Quantum optimal control of steady orbits
A new quantum optimal control formalism for stroboscopic steady states and limit cycles in dissipative systems, implemented in Spinach with GRAPE-like scaling and distinct from Floquet-Lindblad approaches.
-
Coherent terahertz field tomographic imaging in warm Rydberg vapors
Coherent THz-to-optical conversion in warm Rb vapor via adjustable optical probe interference enables tomographic reconstruction of THz field amplitude and phase.
-
Thermodynamics Beyond State Functions from Quantum Relaxation
In quantum thermalization with detailed balance, internal energy becomes E(S, dot S), extending thermodynamics to include dynamical rates.
-
Algebraic structures of the Lindblad equation
Lindblad dynamics admits a universal closed algebra of Hermitian operators with model dependence isolated in a single set of coefficients.
-
Adaptive Reinforcement Learning for Robust Open Quantum System Control: A Multi-Task Framework with Temporal Optimization
A multi-task SAC RL model discovers control pulses, evolution time, and segment numbers for 51 open quantum Hamiltonians, achieving high fidelity state transfer with better robustness to noise than GRAPE.
-
Evolution of Hypoequilibrium States in Steepest Entropy Ascent Models for Nonequilibrium Quantum Thermodynamics
Formal proof that M-th order hypoequilibrium states constitute an invariant manifold under SEAQT evolution, with connection to RCCE for reduced-order modeling of nonequilibrium quantum systems.
-
Expansion of time-convolutionless non-Markovian quantum master equations: A case study using the Fano-Anderson model
For the Fano-Anderson model with Lorentzian spectral density, the TCL expansion converges within a radius set by the detuning-to-width ratio, and its second and fourth orders represent non-Markovianity differently as measured by Bures distance evolution.
-
Dissipative microcanonical ensemble preparation from KMS-detailed balance
Extends KMS-detailed balance constructions from open quantum systems to prepare microcanonical ensembles and other stationary states with criteria for efficient implementation.
-
Decoherence, Perturbations and Symmetry in Lindblad Dynamics -- Implications for Diffractive Dissociation
Single-diffractive cross sections in pp and pbar p collisions are described by a three-parameter fit in a dephasing Lindblad framework yielding a consistent decoherence factor φ ≈ 0.89 that favors CPT-invariant dephasing over CP-invariant.
-
Dissipation-Induced Steady States in Topological Superconductors: Mechanisms and Design Principles
Establishes correspondence between equilibrium Majorana zero modes and non-equilibrium kinetic zero modes in dissipative topological superconductors, derives algebraic relation for their numbers, and proposes dissipation engineering recipes demonstrated on Kitaev chain.
-
Integrating Out, Twice:The Open-System Case That Neural-Network Ensemble Theory Is Missing
Neural-network ensembles match closed Gaussian systems but lack the open-system non-Hermitian generator and continuous spectrum required by nuclear optical models, yielding a structural negative on applicability.
-
Evolution of Gaussian mixed states under the Markovian master equation for a driven quantum oscillator
Analytical solutions for displaced Gaussian states in driven damped oscillators show dynamics independent of bath temperature, unaffected by fast-rotating modes, and sharing exceptional point structure with the undriven case, valid also for time-dependent drives.
-
Algebraic Structure of Three-Flavor Neutrino Oscillations in Constant-Density Matter: Cayley--Hamilton Evolution, DMP Resummation, and Closed-Form Uncertainty Propagation
The DMP neutrino oscillation approximation is reframed as a degenerate-eigenvalue resummation that replaces a divergent parameter with a uniformly bounded one, and closed-form Jacobians for uncertainty propagation are collected.
-
Phase-space modelling of solid-state plasmas
Phase-space kinetic modeling with distribution function f(r,p,t) is applied to solid-state plasmas in nano-objects, adding quantum, spin, relativistic and dissipative features for linear and nonlinear response examples.
-
Quantum Dynamics: A Dilation-Based Approach
This thesis reviews and organizes dilation-based representations of quantum channel curves as an alternative to standard reduced dynamics in finite dimensions.