Copertina

A differentiation formula, with application to the two-dimensional Schrödinger equation

Fuente: arXiv

Salvato in:

Dettagli Bibliografici
Autore principale:	Pikovski, Alexander
Natura:	Preprint
Pubblicazione:	2014
Soggetti:	Computational Physics Numerical Analysis Quantum Physics
Accesso online:	Acceder al recurso
Tags:	Aggiungi Tag Nessun Tag, puoi essere il primo ad aggiungerne!!

Documenti analoghi

Uniform observable error bounds of Trotter formulae for the semiclassical Schrödinger equation
di: Borns-Weil, Yonah, et al.
Pubblicazione: (2022)

Numerical study of the Gross-Pitaevskii equation on a two-dimensional ring and vortex nucleation
di: Chauleur, Quentin, et al.
Pubblicazione: (2024)

Quantum Circuits for partial differential equations via Schrödingerisation
di: Hu, Junpeng, et al.
Pubblicazione: (2024)

Quantum differential equation solvers: limitations and fast-forwarding
di: An, Dong, et al.
Pubblicazione: (2022)

Fast-forwarding quantum algorithms for linear dissipative differential equations
di: An, Dong, et al.
Pubblicazione: (2024)

Numerical solution of quantum Landau-Lifshitz-Gilbert equation
di: Azimi-Mousolou, Vahid, et al.
Pubblicazione: (2025)

Full- and low-rank exponential Euler integrators for the Lindblad equation
di: Chen, Hao, et al.
Pubblicazione: (2024)

NIPG-DG schemes for transformed master equations modeling open quantum systems
di: Escalante, Jose A. Morales
Pubblicazione: (2023)

Approximating exponentials of commutators by optimized product formulas
di: Casas, F., et al.
Pubblicazione: (2024)

Tensor approximation of functional differential equations
di: Rodgers, Abram, et al.
Pubblicazione: (2024)

Nonreflecting Boundary Condition for the free Schrödinger equation for hyperrectangular computational domains
di: Yadav, Samardhi, et al.
Pubblicazione: (2024)

A Variational Quantum Algorithm for Nonlinear Finite Element Analysis of Hyperelastic Materials
di: Kouskiya, Uditnarayan, et al.
Pubblicazione: (2026)

Asymptotic gauge-invariant Hybrid High-Order method for magnetic Schrödinger equations
di: Aghili, Joubine
Pubblicazione: (2026)

Collocation methods for nonlinear differential equations on low-rank manifolds
di: Dektor, Alec
Pubblicazione: (2024)

A multipoint perturbation formula for eigenvalue problems
di: Dusson, Geneviève, et al.
Pubblicazione: (2023)

Diffusion models with physics-guided inference for solving partial differential equations
di: Bing, Yi, et al.
Pubblicazione: (2026)

Enhancing Scalability of Quantum Eigenvalue Transformation of Unitary Matrices for Ground State Preparation through Adaptive Finer Filtering
di: Karacan, Erenay, et al.
Pubblicazione: (2024)

Quantum-inspired space-time PDE solver and dynamic mode decomposition
di: Peddinti, Raghavendra Dheeraj, et al.
Pubblicazione: (2025)

Compressing multivariate functions with tree tensor networks
di: Tindall, Joseph, et al.
Pubblicazione: (2024)

Fast elementwise operations on tensor trains with alternating cross interpolation
di: Ritter, Marc K.
Pubblicazione: (2026)

Interpolative separable density fitting on adaptive real space grids
di: Zhu, Hai, et al.
Pubblicazione: (2025)

Towards Quantum Computational Mechanics
di: Liu, Burigede, et al.
Pubblicazione: (2023)

Structure-preserving numerical schemes for Lindblad equations
di: Cao, Yu, et al.
Pubblicazione: (2021)

Contour-integral based quantum eigenvalue transformation: analysis and applications
di: Jiang, Shan, et al.
Pubblicazione: (2026)

Transparent boundary condition and its high frequency approximation for the Schrödinger equation on a rectangular computational domain
di: Yadav, Samardhi, et al.
Pubblicazione: (2024)

Transparent boundary condition and its effectively local approximation for the Schrödinger equation on a rectangular computational domain
di: Yadav, Samardhi, et al.
Pubblicazione: (2024)

A splitting higher order scheme with discrete transparent boundary conditions for the Schrödinger equation in a semi-infinite parallelepiped
di: Ducomet, Bernard, et al.
Pubblicazione: (2013)

Quantum simulation of the Fokker-Planck equation via Schrodingerization
di: Jin, Shi, et al.
Pubblicazione: (2024)

Quantum Circuits for the Black-Scholes equations via Schrödingerisation
di: Jin, Shi, et al.
Pubblicazione: (2025)

Quantum algorithms for linear and non-linear fractional reaction-diffusion equations
di: An, Dong, et al.
Pubblicazione: (2023)

Quantum Circuits for the heat equation with physical boundary conditions via Schrodingerisation
di: Jin, Shi, et al.
Pubblicazione: (2024)

Generalized quantum singular value transformation with application in quantum conjugate gradient least squares algorithm
di: Liu, Yu-Qiu, et al.
Pubblicazione: (2025)

Infinite-dimensional Extension of the Linear Combination of Hamiltonian Simulation: Theorems and Applications
di: Lu, Rundi, et al.
Pubblicazione: (2025)

Second-order discretization of Dyson series: iterative method, numerical analysis and applications in open quantum systems
di: Cai, Zhenning, et al.
Pubblicazione: (2025)

The splitting in potential Crank-Nicolson scheme with discrete transparent boundary conditions for the Schrödinger equation on a semi-infinite strip
di: Ducomet, Bernard, et al.
Pubblicazione: (2013)

Multi-level quantum signal processing with applications to ground state preparation using fast-forwarded Hamiltonian evolution
di: Dong, Yulong, et al.
Pubblicazione: (2024)

LREI: A fast numerical solver for quantum Landau-Lifshitz equations
di: Mirzaei, Davoud, et al.
Pubblicazione: (2025)

A Hyperbolic Approximation of the Nonlinear Schrödinger Equation
di: Biswas, Abhijit, et al.
Pubblicazione: (2025)

Quantum algorithm for anisotropic diffusion and convection equations with vector norm scaling
di: Zylberman, Julien, et al.
Pubblicazione: (2026)

Domain decomposition dynamical low-rank for multi-dimensional radiative transfer equations
di: Brunner, Stefan, et al.
Pubblicazione: (2026)