Cover Image

Efficient quantum algorithm for solving differential equations with Fourier nonlinearity via Koopman linearization

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Katz, Judd, Muraleedharan, Gopikrishnan, Alase, Abhijeet
Format:	Preprint
Published:	2025
Subjects:	Quantum Physics
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Quantum algorithm for solving differential equations using SLAC derivatives
by: Gharat, Rakshit M., et al.
Published: (2026)

Quantum signal processing without angle finding
by: Alase, Abhijeet
Published: (2025)

Resolvent-based quantum phase estimation: Towards estimation of parametrized eigenvalues
by: Alase, Abhijeet, et al.
Published: (2024)

Non-local resources for error correction in quantum LDPC codes
by: Chandra, Omprakash, et al.
Published: (2024)

Divergence-free algorithms for solving nonlinear differential equations on quantum computers
by: Endo, Katsuhiro, et al.
Published: (2024)

Improved quantum algorithms for linear and nonlinear differential equations
by: Krovi, Hari
Published: (2022)

Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems
by: Simon, Sophia, et al.
Published: (2026)

Quantum algorithm for solving nonlinear differential equations based on physics-informed effective Hamiltonians
by: Wu, Hsin-Yu, et al.
Published: (2025)

Investigation on a quantum algorithm for linear differential equations
by: Dong, Xiaojing, et al.
Published: (2024)

Variational quantum algorithm based on Lagrange polynomial encoding to solve differential equations
by: Hunout, Josephine, et al.
Published: (2024)

Quantum algorithm for solving high-dimensional linear stochastic differential equations via amplitude encoding of the noise term
by: Miyamoto, Koichi
Published: (2026)

Generalising quantum imaginary time evolution to solve linear partial differential equations
by: Kumar, Swagat, et al.
Published: (2024)

A quantum algorithm for linear autonomous differential equations via Padé approximation
by: Dong, Dekuan, et al.
Published: (2025)

Design nearly optimal quantum algorithm for linear differential equations via Lindbladians
by: Shang, Zhong-Xia, et al.
Published: (2024)

Erasure conversion in Majorana qubits via local quasiparticle detection
by: Alase, Abhijeet, et al.
Published: (2023)

Solving nonlinear differential equations on noisy $156$-qubit quantum computers
by: Baumann, Karla, et al.
Published: (2026)

Further improving quantum algorithms for nonlinear differential equations via higher-order methods and rescaling
by: Costa, Pedro C. S., et al.
Published: (2023)

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

A near-term quantum algorithm for solving linear systems of equations based on the Woodbury identity
by: O'Malley, Daniel, et al.
Published: (2022)

Quantum algorithm for solving McKean-Vlasov stochastic differential equations
by: Miyamoto, Koichi
Published: (2025)

The cost of solving linear differential equations on a quantum computer: fast-forwarding to explicit resource counts
by: Jennings, David, et al.
Published: (2023)

A mixed-precision quantum-classical algorithm for solving linear systems
by: Koska, Océane, et al.
Published: (2025)

Quantum homotopy analysis method with quantum-compatible linearization for nonlinear partial differential equations
by: Xue, Cheng, et al.
Published: (2024)

Improving the convergence of an iterative algorithm for solving arbitrary linear equation systems using classical or quantum binary optimization
by: Castro, Erick R., et al.
Published: (2023)

Decoherence of Majorana qubits by 1/f noise
by: Alase, Abhijeet, et al.
Published: (2025)

Quantum algorithm for the advection-diffusion equation and the Koopman-von Neumann approach to nonlinear dynamical systems
by: Novikau, Ivan, et al.
Published: (2024)

Quantum algorithms for computing observables of nonlinear partial differential equations
by: Jin, Shi, et al.
Published: (2022)

Hybrid classical-quantum branch-and-bound algorithm for solving integer linear problems
by: Sanavio, Claudio, et al.
Published: (2023)

Electronically-controlled one- and two-qubit gates for transmon quasicharge qubits
by: Christopher, Nicholas M., et al.
Published: (2025)

Proof-of-work consensus by quantum sampling
by: Singh, Deepesh, et al.
Published: (2023)

An efficient explicit implementation of a near-optimal quantum algorithm for simulating linear dissipative differential equations
by: Novikau, Ivan, et al.
Published: (2025)

Quantum algorithms for Young measures: applications to nonlinear partial differential equations
by: Jin, Shi, et al.
Published: (2026)

Protected phase gate for the $0$-$π$ qubit using its internal modes
by: Kolesnikow, Xanda C, et al.
Published: (2025)

Efficient hybrid variational quantum algorithm for solving graph coloring problem
by: Liu, Dongmei, et al.
Published: (2025)

Resource-efficient quantum algorithm for linear systems of equations
by: Ghisoni, Francesco, et al.
Published: (2024)

Coherence dynamics in quantum algorithm for linear systems of equations
by: Ye, Linlin, et al.
Published: (2026)

Two quantum algorithms for solving the one-dimensional advection-diffusion equation
by: Ingelmann, Julia, et al.
Published: (2023)

Hybrid quantum-classical algorithms for complex nonlinear partial differential equations with Ginzburg-Landau potential and vortex motion laws
by: Jin, Shi, et al.
Published: (2026)

Nonlinear-ancilla aided quantum algorithm for nonlinear Schrödinger equations
by: Großardt, André
Published: (2024)

Fast quantum algorithm for differential equations
by: Bagherimehrab, Mohsen, et al.
Published: (2023)