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Trapped Ion Quantum Computing
Quantum Simulation
High-order quantum algorithm for solving linear differential equations
arXiv
Authors: Dominic W. Berry
Year
2010
Paper ID
10867
Status
Preprint
Abstract Read
~2 min
Abstract Words
95
Citations
N/A
Abstract
Linear differential equations are ubiquitous in science and engineering. Quantum computers can simulate quantum systems, which are described by a restricted type of linear differential equations. Here we extend quantum simulation algorithms to general inhomogeneous sparse linear differential equations, which describe many classical physical systems. We examine the use of high-order methods to improve the efficiency. These provide scaling close to Δt2 in the evolution time Δt. As with other algorithms of this type, the solution is encoded in amplitudes of the quantum state, and it is possible to extract global features of the solution.
Why This Paper Matters
- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
- It adds a 2010 reference point for readers tracking recent quantum research.
- Linear differential equations are ubiquitous in science and engineering.
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