Hamming Weight Operators and an adaptive QAOA variant confine evolution to feasible states by construction, delivering faster convergence and roughly half the gate count versus penalty methods on finance and physics tasks.
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Preskill, Quantum2, 79 (2018)
27 Pith papers cite this work. Polarity classification is still indexing.
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A single-particle dark state in a dissipating spin chain induces universal long-time many-body dynamics with momentum distribution scaling as k sqrt(t) and density decaying as 1/(sqrt(t) log t).
Divide-and-conquer QAOA samples and Hamming-weight-conditioned neural network surrogates accelerate MCMC mixing for constrained Ising problems by average factors of 20.3 and 7.6 over classical pair-flip baselines.
An exactly solvable model of a quantum chain coupled to a cavity photon via dipole interaction yields a closed-form reduced density matrix that reveals logarithmic light-matter and spatial entanglement scaling with system size at strong coupling, arising from photon resolution of collective dipole P
QCNN layers equivariant under pixel cyclic shifts are exactly characterized as Fourier-mode multiplexers after QFT, enabling a deep network with constant expected gradient norm at initialization.
A classical polynomial-time sampler exists for the output distribution of amplitude-damped IQP circuits with logarithmic depth and arbitrary l-local diagonal gates.
HQ-LP-FNO replaces part of the spectral channel mixing in a 3D FNO with a mode-shared VQC, reducing parameters by 15.6% and phase-fraction MAE by 26% on laser-processing surrogates while remaining stable under calibrated noise.
A circular-modulated concatenated continuous driving (CMCCD) protocol for silicon qubits cancels counter-rotating errors via dual modulation and shows higher simulated fidelity plus improved experimental robustness to detuning and Rabi errors compared to standard Rabi or prior CCD drives.
A technique extracts k-local conserved operators from iPEPS by identifying vanishing fidelity susceptibility in a quantum geometry of parameter-deformed states, yielding improved parent Hamiltonians for RVB and deformed toric code states.
A Pauli-constraint-based programming model for quantum computers is proved equivalent to the standard circuit model, universal for BQP, with O(D^2 N log N) emulation overhead.
A recipe for initial points in variational compression of quantum time-evolution operators that provably converges to near-optimal O(N t polylog(N t/ε)) gate complexity for local translationally invariant Hamiltonians.
GQPINNs add symmetry awareness to quantum PINNs via equivariant circuits, yielding lower mean absolute error and fewer parameters than standard QPINNs on linear and nonlinear PDE benchmarks.
PIDN replaces repeated multi-noise ZNE evaluations with a trained network that denoises expectation values and gradients from noisy data plus history, achieving comparable optimization on quantum models with 4-6x fewer circuits.
A model-agnostic randomized dissipative cooling protocol drives generic strongly correlated fermionic systems to their low-energy manifold using local ancilla couplings with random energy splittings.
A graph-based bounded distance decoder corrects all errors up to a chosen weight in arbitrary stabilizer codes by representing stabilizers and syndromes as graphs and pruning the search space with a feed-forward structure.
A hybrid quantum framework decomposes CVRP into bounded-width knapsack subproblems, trains a reinforcement learning controller for Lagrangian multipliers, and uses a contextual bandit to adapt quantum hardware execution, yielding improved routing quality on standard test instances.
A divide-and-conquer framework using QAOA and neural network surrogates accelerates constrained MCMC by factors of 7.6 to 20.3 over classical methods.
Structure-aware VQE ansatze for long-range Ising models cut required circuit layers by 2.5x to 3.8x in non-local regimes while two-qubit gate counts scale quadratically with system size, consistent with the number of Hamiltonian terms.
A mapping from stabilizer generators to dual Ising spins converts hidden nonlocal order in stabilizer codes into observables with extensive quantum Fisher information density.
An exact positive-probability decomposition of thermal relaxation noise into Clifford gates and resets exists for T2 ≤ T1, with a negativity-free approximation that outperforms Pauli twirling for T2 > T1.
A pulsed fiber amplifier system achieves coherent Rydberg excitation of single atoms in a rubidium array with performance comparable to continuous-wave lasers.
A VQE quantum-computing method for nuclear lattice models shows ground-state energies for 2H, 3H, and 4He approaching experimental values with increasing lattice size.
NISQ devices produced lower residual energies and higher-quality solutions than a D-Wave annealer when optimizing experimental parameters for Au atomic junction fabrication.
Variational compression of Trotterized circuits preserves reaction rate coefficients in nonadiabatic dynamics simulations while reducing circuit depth.
citing papers explorer
-
Constraint-Aware Quantum Optimization via Hamming Weight Operators
Hamming Weight Operators and an adaptive QAOA variant confine evolution to feasible states by construction, delivering faster convergence and roughly half the gate count versus penalty methods on finance and physics tasks.
-
Universal dynamics from a single-particle dark state
A single-particle dark state in a dissipating spin chain induces universal long-time many-body dynamics with momentum distribution scaling as k sqrt(t) and density decaying as 1/(sqrt(t) log t).
-
Divide-and-Conquer Neural Network Surrogates for Quantum Sampling: Accelerating Markov Chain Monte Carlo in Large-Scale Constrained Optimization Problems
Divide-and-conquer QAOA samples and Hamming-weight-conditioned neural network surrogates accelerate MCMC mixing for constrained Ising problems by average factors of 20.3 and 7.6 over classical pair-flip baselines.
-
Logarithmic Entanglement and Emergent Dipole Symmetry from a Strongly Coupled Light-Matter Quantum Circuit
An exactly solvable model of a quantum chain coupled to a cavity photon via dipole interaction yields a closed-form reduced density matrix that reveals logarithmic light-matter and spatial entanglement scaling with system size at strong coupling, arising from photon resolution of collective dipole P
-
Pixel-Translation-Equivariant Quantum Convolutional Neural Networks via Fourier Multiplexers
QCNN layers equivariant under pixel cyclic shifts are exactly characterized as Fourier-mode multiplexers after QFT, enabling a deep network with constant expected gradient norm at initialization.
-
Efficient simulation of noisy IQP circuits with amplitude-damping noise
A classical polynomial-time sampler exists for the output distribution of amplitude-damped IQP circuits with logarithmic depth and arbitrary l-local diagonal gates.
-
Hybrid Fourier Neural Operator for Surrogate Modeling of Laser Processing with a Quantum-Circuit Mixer
HQ-LP-FNO replaces part of the spectral channel mixing in a 3D FNO with a mode-shared VQC, reducing parameters by 15.6% and phase-fraction MAE by 26% on laser-processing surrogates while remaining stable under calibrated noise.
-
Concatenated continuous driving of silicon qubit by amplitude and phase modulation
A circular-modulated concatenated continuous driving (CMCCD) protocol for silicon qubits cancels counter-rotating errors via dual modulation and shows higher simulated fidelity plus improved experimental robustness to detuning and Rabi errors compared to standard Rabi or prior CCD drives.
-
Extracting conserved operators from a projected entangled pair state
A technique extracts k-local conserved operators from iPEPS by identifying vanishing fidelity susceptibility in a quantum geometry of parameter-deformed states, yielding improved parent Hamiltonians for RVB and deformed toric code states.
-
Quantum circuit design via dynamic Pauli constraints
A Pauli-constraint-based programming model for quantum computers is proved equivalent to the standard circuit model, universal for BQP, with O(D^2 N log N) emulation overhead.
-
Near-Optimal Quantum Time Evolution Circuits via Provably Convergent Compression
A recipe for initial points in variational compression of quantum time-evolution operators that provably converges to near-optimal O(N t polylog(N t/ε)) gate complexity for local translationally invariant Hamiltonians.
-
Geometric Quantum Physics Informed Neural Network
GQPINNs add symmetry awareness to quantum PINNs via equivariant circuits, yielding lower mean absolute error and fewer parameters than standard QPINNs on linear and nonlinear PDE benchmarks.
-
Accelerating Noisy Variational Quantum Algorithms with Physics-Informed Denoising Networks
PIDN replaces repeated multi-noise ZNE evaluations with a trained network that denoises expectation values and gradients from noisy data plus history, achieving comparable optimization on quantum models with 4-6x fewer circuits.
-
Model-agnostic cooling algorithms for strongly interacting fermions
A model-agnostic randomized dissipative cooling protocol drives generic strongly correlated fermionic systems to their low-energy manifold using local ancilla couplings with random energy splittings.
-
A graph-aware bounded distance decoder for all stabilizer codes
A graph-based bounded distance decoder corrects all errors up to a chosen weight in arbitrary stabilizer codes by representing stabilizers and syndromes as graphs and pruning the search space with a feed-forward structure.
-
Qubit-Scalable CVRP via Lagrangian Knapsack Decomposition and Noise-Aware Quantum Execution
A hybrid quantum framework decomposes CVRP into bounded-width knapsack subproblems, trains a reinforcement learning controller for Lagrangian multipliers, and uses a contextual bandit to adapt quantum hardware execution, yielding improved routing quality on standard test instances.
-
Forecasts of CMB $E$-mode anomalies for AliCPT-1
A divide-and-conquer framework using QAOA and neural network surrogates accelerates constrained MCMC by factors of 7.6 to 20.3 over classical methods.
-
Scaling of Quantum Resources for Simulating a Long-Range System
Structure-aware VQE ansatze for long-range Ising models cut required circuit layers by 2.5x to 3.8x in non-local regimes while two-qubit gate counts scale quadratically with system size, consistent with the number of Hamiltonian terms.
-
Assembling Extensive Quantum Fisher Information in Stabilizer Systems
A mapping from stabilizer generators to dual Ising spins converts hidden nonlocal order in stabilizer codes into observables with extensive quantum Fisher information density.
-
Exact and Efficient Stabilizer Simulation of Thermal-Relaxation Noise for Quantum Error Correction
An exact positive-probability decomposition of thermal relaxation noise into Clifford gates and resets exists for T2 ≤ T1, with a negativity-free approximation that outperforms Pauli twirling for T2 > T1.
-
Coherent Rydberg excitation of single atoms using a pulsed fiber amplifier
A pulsed fiber amplifier system achieves coherent Rydberg excitation of single atoms in a rubidium array with performance comparable to continuous-wave lasers.
-
Quantum computing for effective nuclear lattice model
A VQE quantum-computing method for nuclear lattice models shows ground-state energies for 2H, 3H, and 4He approaching experimental values with increasing lattice size.
-
Utility of NISQ devices: optimizing experimental parameters for the fabrication of Au atomic junction using gate-based quantum computers
NISQ devices produced lower residual energies and higher-quality solutions than a D-Wave annealer when optimizing experimental parameters for Au atomic junction fabrication.
-
Variationally Compressing Quantum Circuits to Approximate Nonadiabatic Molecular Quantum Dynamics
Variational compression of Trotterized circuits preserves reaction rate coefficients in nonadiabatic dynamics simulations while reducing circuit depth.
-
Nonlinear Coherent Transport in 2D Thermal Metamaterials: From Solitons and Topological Defects to Quantum Computing
A framework for 2D thermal metamaterials identifies a two-channel transport mechanism where coherent nonlinear excitations coexist with incoherent modes, sensitive to geometry and nonlinearity.
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Random Quantum Circuits as Seeds for Continuous Generative Models
A specific family of random quantum circuits is introduced that resists classical simulation and avoids local variable concentration, proposed as seeds for continuous generative models to support NISQ-compatible quantum-classical hybrids.
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Energetics of Rydberg-atom Quantum Computing
Provides component-wise energy estimates for Rydberg quantum computers and reports a potential energy advantage over classical DFT execution for the Quantum Fourier Transform under ideal error-free conditions.