A Trotter-Suzuki approximation for Lie groups with applications to Hamiltonian simulation

DOI10.1063/1.4952761zbMath1341.81018arXiv1512.03416OpenAlexW2290995438WikidataQ115333171 ScholiaQ115333171MaRDI QIDQ3178309

Rolando Somma

Publication date: 11 July 2016

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03416

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Quantum computation (81P68) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie (super)algebras to physics, etc. (17B81) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Quantum algorithms and complexity in the theory of computing (68Q12)

Related Items

Bounding the costs of quantum simulation of many-body physics in real space

Cites Work

• Unnamed Item
• Unnamed Item
• Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation
• Efficient quantum algorithms for simulating sparse Hamiltonians
• EXPONENTIAL IMPROVEMENT IN PRECISION FOR SIMULATING SPARSE HAMILTONIANS
• Universal Quantum Simulators
• Adiabatic quantum state generation and statistical zero knowledge
• General theory of fractal path integrals with applications to many-body theories and statistical physics
• Canonical representations of sp(2n,R)
• Higher order decompositions of ordered operator exponentials
• Introduction to Quantum Control and Dynamics
• Exponentially more precise quantum simulation of fermions in second quantization