Cover Image

Efficient quantum algorithm for linear matrix differential equations and applications to open quantum systems

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Simon, Sophia, Berry, Dominic W., Somma, Rolando D.
Format:	Preprint
Published:	2026
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 linear matrix equations
by: Somma, Rolando D., et al.
Published: (2025)

Optimal quantum simulation of linear non-unitary dynamics
by: Low, Guang Hao, et al.
Published: (2025)

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

Quantum algorithm for time-dependent differential equations using Dyson series
by: Berry, Dominic W., et al.
Published: (2022)

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

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

Efficient quantum circuits for high-dimensional representations of SU(n) and Ramanujan quantum expanders
by: Iyer, Vishnu, et al.
Published: (2026)

Efficient quantum algorithm for solving differential equations with Fourier nonlinearity via Koopman linearization
by: Katz, Judd, et al.
Published: (2025)

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

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

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

The discrete adiabatic quantum linear system solver has lower constant factors than the randomized adiabatic solver
by: Costa, Pedro C. S., et al.
Published: (2023)

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

Fast quantum simulation of electronic structure by spectrum amplification
by: Low, Guang Hao, et al.
Published: (2025)

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)

Quantum algorithms for matrix operations and linear systems of equations
by: Qi, Wentao, et al.
Published: (2022)

Probabilistic quantum algorithm for Lyapunov equations and matrix inversion
by: Benedetti, Marcello, et al.
Published: (2025)

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

Large time-step discretisation of adiabatic quantum dynamics
by: An, Dong, et al.
Published: (2025)

Wave packet landscape in linear open quantum systems
by: Xu, Kang, et al.
Published: (2026)

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

A fixed-point algorithm for matrix projections with applications in quantum information
by: Brahmachari, Shrigyan, et al.
Published: (2023)

Efficient quantum algorithm to simulate open systems through a single environmental qubit
by: Di Bartolomeo, Giovanni, et al.
Published: (2023)

Compact quantum algorithms for time-dependent differential equations
by: Bharadwaj, Sachin S., et al.
Published: (2024)

A quantum algorithm for solving open system dynamics on quantum computers using noise
by: Leppäkangas, Juha, et al.
Published: (2022)

Hamiltonian simulation for low-energy states with optimal time dependence
by: Zlokapa, Alexander, et al.
Published: (2024)

Non-adiabatic linear response in open quantum systems
by: Nie, Xiaotian, et al.
Published: (2025)

Covariant quantum combinatorics with applications to zero-error communication
by: Verdon, Dominic
Published: (2023)

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

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

A probabilistic imaginary-time evolution quantum algorithm for advection-diffusion equation: Explicit gate-level implementation and comparisons to quantum linear system algorithms
by: Huang, Xinchi, et al.
Published: (2024)

Ancilla-train quantum algorithm for simulating non-Markovian open quantum systems
by: Christensen, Hans Michael, et al.
Published: (2025)

Thermodynamics of linear open quantum walks
by: Maciel, Pedro Linck, et al.
Published: (2026)

A generalization of the Choi isomorphism with application to open quantum systems
by: Schmidt, Heinz-Jürgen
Published: (2024)

Efficient and fail-safe quantum algorithm for the transport equation
by: Schalkers, Merel A., et al.
Published: (2022)

Quantum information processing with superconducting circuits: realizing and characterizing quantum gates and algorithms in open quantum systems
by: Sakhouf, Hamid
Published: (2024)

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

Tutorial: projector approach to master equations for open quantum systems
by: Gonzalez-Ballestero, C.
Published: (2023)

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