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.
Completely positive dynamical semigroups ofN-level systems,
27 Pith papers cite this work, alongside 3,954 external citations. Polarity classification is still indexing.
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quant-ph 18 cond-mat.mes-hall 2 cond-mat.stat-mech 2 cond-mat.str-el 1 hep-ph 1 math-ph 1 nucl-th 1 physics.atom-ph 1roles
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TCL4 master equations contain asymptotically redundant components that can be eliminated by stationary-state-preserving transformations, yielding a simpler virtual coherence pathway for canonically consistent stationary states.
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.
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.
VF-QCTRL combines LLMs with physics-informed symbolic reasoning and optimization to produce analytic control protocols that match or exceed conventional solvers across a new 16-task benchmark spanning single/multi-qubit, closed/open, and noisy systems.
Zeno elimination via Schur complement in GKSL dynamics induces negative directions in quadratic response tensors even when the microscopic tensor is positive definite.
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.
The ν-QSSEP model generalizes QSSEP with spatially structured noise; for ν=1 entanglement dynamics follows a stochastic quasiparticle picture yielding diffusive growth.
Multi-band simulation shows inter-band spin-orbit coupling enables >25% spin polarization in MR-CISS when on-site Coulomb interactions are included.
Lindblad dynamics admits a universal closed algebra of Hermitian operators with model dependence isolated in a single set of coefficients.
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.
A new proof, via Lyapunov exponents, of the known universal bound Γ_max ≤ c_d Σ Γ_i for relaxation rates of quantum master equations, where c_d depends on the positivity class of the semigroup.
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.
The Lindblad equation is valid only within a finite time window controlled by the timescales of the bath, the system, and the rotating-wave approximation, with failure at early and late times.
In the large-N limit, spin squeezing torsion yields a nonlinear qubit governed by the two-state Gross-Pitaevskii equation that solves single-input state discrimination on the Bloch sphere.
Negative quantum states from discrete Wigner functions show resilience advantages over Bell states under non-Markovian dynamics, are protected via weak measurements, and are realized on IBM superconducting hardware.
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.
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.
-
TCL4 Asymptotic Redundancy and Canonically Consistent Master Equations
TCL4 master equations contain asymptotically redundant components that can be eliminated by stationary-state-preserving transformations, yielding a simpler virtual coherence pathway for canonically consistent stationary states.
-
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.
-
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.
-
Toward General Quantum Control with Physics-Informed Large Language Models
VF-QCTRL combines LLMs with physics-informed symbolic reasoning and optimization to produce analytic control protocols that match or exceed conventional solvers across a new 16-task benchmark spanning single/multi-qubit, closed/open, and noisy systems.
-
Signature structure of quadratic response under Zeno-Schur coarse graining in open quantum systems
Zeno elimination via Schur complement in GKSL dynamics induces negative directions in quadratic response tensors even when the microscopic tensor is positive definite.
-
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.
-
$\nu$-QSSEP: A toy model for entanglement spreading in stochastic diffusive quantum systems
The ν-QSSEP model generalizes QSSEP with spatially structured noise; for ν=1 entanglement dynamics follows a stochastic quasiparticle picture yielding diffusive growth.
-
Magnetoresistance in chiral systems driven by inter-band spin-orbit coupling
Multi-band simulation shows inter-band spin-orbit coupling enables >25% spin polarization in MR-CISS when on-site Coulomb interactions are included.
-
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.
-
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.
-
Universal bound on the Lyapunov spectrum of quantum master equations
A new proof, via Lyapunov exponents, of the known universal bound Γ_max ≤ c_d Σ Γ_i for relaxation rates of quantum master equations, where c_d depends on the positivity class of the semigroup.
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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.
-
Is Lindblad for me?
The Lindblad equation is valid only within a finite time window controlled by the timescales of the bath, the system, and the rotating-wave approximation, with failure at early and late times.
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From spin squeezing to fast state discrimination
In the large-N limit, spin squeezing torsion yields a nonlinear qubit governed by the two-state Gross-Pitaevskii equation that solves single-input state discrimination on the Bloch sphere.
-
Discrete and Continuous Wigner Functions in Open Quantum Systems: Non-Markovian and Thermodynamic Effects
Negative quantum states from discrete Wigner functions show resilience advantages over Bell states under non-Markovian dynamics, are protected via weak measurements, and are realized on IBM superconducting hardware.
-
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.
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Spin Chains for Quantum Information Processing
The virtual-excitation protocol outperforms the trimer-model approximation for entanglement distribution in spin chains in speed, fidelity, and noise resilience.
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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.
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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.