A graph-conditioned meta-optimizer learns QAOA parameter trajectories from one problem class and transfers them to others, yielding better initializations than standard methods in an empirical study of 64 settings.
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Lin, Lecture Notes on Quantum Algorithms for Scien- tific Computation, (2022), arXiv:2201.08309 [quant-ph]
11 Pith papers cite this work. Polarity classification is still indexing.
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Explicit first- and second-order Trotter circuits are constructed for the discretized 3D elastic wave equation with derived error bounds and qubit/CNOT complexity estimates in terms of grid size, time, accuracy, and material parameters.
Cobble is a domain-specific language for quantum block encodings that compiles high-level matrix expressions to optimized circuits using analyses and quantum singular value transformation, achieving 2.6x-25.4x speedups over unoptimized baselines on benchmarks.
ROQAM formulates Green's function estimation via orthogonal polynomials to preserve Hessenberg structure under finite precision, enabling lower precision with depth and outperforming QSVD by orders of magnitude in resource estimates for a quantum impurity model.
Quantum Koopman Algorithms define an observable-space quantum framework for simulating linear quantum and nonlinear classical dynamics with polylog gate costs in some cases.
Quantum circuit framework for advection-diffusion PDEs with Robin and periodic boundary conditions via LCHS, including LCU error analysis and gate complexity showing potential quantum advantage in high dimensions.
Diagonalizing field operators before Pauli-string decomposition exponentially cuts circuit depth and Trotter errors in 2+1D scalar QFT simulations, with faster local-truncation convergence for Lorentzian energy-energy correlators than the Jordan-Lee-Preskill amplitude-basis method.
Hybrid quantum-classical solver using HHL for the Navier-Stokes pressure equation with approximate Chebyshev-based QST achieves accurate lid-driven cavity and Taylor-Green vortex simulations in Qiskit.
Chemical properties and symmetries, not variational energy, should guide UHF trial selection for ph-AFQMC on iron-sulfur clusters, yielding accurate energies despite suboptimal sampling and bias compensation.
A quantum method solves linear PDEs by block-encoding Fourier filters with reversible arithmetic, positioned as a structure-exploiting alternative to standard QSVT-based matrix inversion.
A hybrid quantization scheme enables efficient switching between first- and second-quantization in quantum circuits for molecular systems, claiming up to three orders of magnitude fewer ground-state preparations for 2-RDM measurements.
citing papers explorer
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Graph-Conditioned Meta-Optimizer for QAOA Parameter Generation on Multiple Problem Classes
A graph-conditioned meta-optimizer learns QAOA parameter trajectories from one problem class and transfers them to others, yielding better initializations than standard methods in an empirical study of 64 settings.
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Hamiltonian simulation for 3D elastic wave equations in homogeneous elastic media
Explicit first- and second-order Trotter circuits are constructed for the discretized 3D elastic wave equation with derived error bounds and qubit/CNOT complexity estimates in terms of grid size, time, accuracy, and material parameters.
-
Cobble: Compiling Block Encodings for Quantum Computational Linear Algebra
Cobble is a domain-specific language for quantum block encodings that compiles high-level matrix expressions to optimized circuits using analyses and quantum singular value transformation, achieving 2.6x-25.4x speedups over unoptimized baselines on benchmarks.
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Estimating Green's functions with a robust quantum Arnoldi method
ROQAM formulates Green's function estimation via orthogonal polynomials to preserve Hessenberg structure under finite precision, enabling lower precision with depth and outperforming QSVD by orders of magnitude in resource estimates for a quantum impurity model.
-
Quantum Koopman Algorithms
Quantum Koopman Algorithms define an observable-space quantum framework for simulating linear quantum and nonlinear classical dynamics with polylog gate costs in some cases.
-
Quantum circuits for the advection-diffusion equation with boundary conditions based on LCHS
Quantum circuit framework for advection-diffusion PDEs with Robin and periodic boundary conditions via LCHS, including LCU error analysis and gate complexity showing potential quantum advantage in high dimensions.
-
Exponentially improved quantum simulation of scalar QFT
Diagonalizing field operators before Pauli-string decomposition exponentially cuts circuit depth and Trotter errors in 2+1D scalar QFT simulations, with faster local-truncation convergence for Lorentzian energy-energy correlators than the Jordan-Lee-Preskill amplitude-basis method.
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An HHL-Based Quantum-Classical Solver for the Incompressible Navier-Stokes Equations with Approximate QST
Hybrid quantum-classical solver using HHL for the Navier-Stokes pressure equation with approximate Chebyshev-based QST achieves accurate lid-driven cavity and Taylor-Green vortex simulations in Qiskit.
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Selecting optimal unrestricted Hartree-Fock trial wavefunctions for phaseless auxiliary-field quantum Monte Carlo: Accuracy and limitations in modeling three iron-sulfur clusters
Chemical properties and symmetries, not variational energy, should guide UHF trial selection for ph-AFQMC on iron-sulfur clusters, yielding accurate energies despite suboptimal sampling and bias compensation.
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A Quantum Spectral Framework for Solving PDEs
A quantum method solves linear PDEs by block-encoding Fourier filters with reversible arithmetic, positioned as a structure-exploiting alternative to standard QSVT-based matrix inversion.
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Optimizing Quantum Chemistry Simulations with a Hybrid Quantization Scheme
A hybrid quantization scheme enables efficient switching between first- and second-quantization in quantum circuits for molecular systems, claiming up to three orders of magnitude fewer ground-state preparations for 2-RDM measurements.