Optimized Lie-Trotter-Suzuki decompositions for two and three non-commuting terms

DOI10.1016/j.aop.2020.168165zbMath1435.81008arXiv1901.04974OpenAlexW2909516878MaRDI QIDQ778479

Yikang Zhang, Thomas Barthel

Publication date: 2 July 2020

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

Full work available at URL: https://arxiv.org/abs/1901.04974

zbMATH Keywords

splitting methodssymplectic integratorsgraph partitioning problemHall basisLie-Trotter-Suzuki decompositionquantum Hamiltonian simulation

Mathematics Subject Classification ID

Computational methods for problems pertaining to quantum theory (81-08) Mathematical modeling or simulation for problems pertaining to quantum theory (81-10)

Related Items (3)

Adiabatic based algorithm for SAT: a comprehensive algorithmic description ⋮ Spinsim: a GPU optimized Python package for simulating spin-half and spin-one quantum systems ⋮ Time-evolution methods for matrix-product states

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The density-matrix renormalization group in the age of matrix product states
• Fourth-order symplectic integration
• Die Unterringe der freien Lieschen Ringe
• Efficient quantum algorithms for simulating sparse Hamiltonians
• Lie algebras and Lie groups. 1964 lectures, given at Harvard University.
• Generalized Trotter's formula and systematic approximants of exponential operators and inner derivations with applications to many-body problems
• A new efficient algorithm for computing Gröbner bases \((F_4)\)
• Optimized Forest-Ruth- and Suzuki-like algorithms for integration of motion in many-body systems
• Time-evolution methods for matrix-product states
• Monte Carlo Simulation of Quantum Spin Systems. I
• EXPONENTIAL IMPROVEMENT IN PRECISION FOR SIMULATING SPARSE HAMILTONIANS
• Universal Quantum Simulators
• Criticality, the Area Law, and the Computational Power of Projected Entangled Pair States
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• On the Product of Semi-Groups of Operators
• Locality Estimates for Quantum Spin Systems
• General theory of fractal path integrals with applications to many-body theories and statistical physics
• The accuracy of symplectic integrators
• On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
• Toward the first quantum simulation with quantum speedup
• A Basis for Free Lie Rings and Higher Commutators in Free Groups

This page was built for publication: Optimized Lie-Trotter-Suzuki decompositions for two and three non-commuting terms