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Buch ; Online: Optimising Trotter-Suzuki Decompositions for Quantum Simulation Using Evolutionary Strategies

Jones, Benjamin D. M. / O'Brien, George O. / White, David R. / Campbell, Earl T. / Clark, John A.

2019  

Abstract: One of the most promising applications of near-term quantum computing is the simulation of quantum systems, a classically intractable task. Quantum simulation requires computationally expensive matrix exponentiation; Trotter-Suzuki decomposition of this ... ...

Abstract One of the most promising applications of near-term quantum computing is the simulation of quantum systems, a classically intractable task. Quantum simulation requires computationally expensive matrix exponentiation; Trotter-Suzuki decomposition of this exponentiation enables efficient simulation to a desired accuracy on a quantum computer. We apply the Covariance Matrix Adaptation Evolutionary Strategy (CMA-ES) algorithm to optimise the Trotter-Suzuki decompositions of a canonical quantum system, the Heisenberg Chain; we reduce simulation error by around 60%. We introduce this problem to the computational search community, show that an evolutionary optimisation approach is robust across runs and problem instances, and find that optimisation results generalise to the simulation of larger systems.

Comment: A version of this paper is to appear in GECCO'19
Schlagwörter Computer Science - Neural and Evolutionary Computing ; Quantum Physics
Thema/Rubrik (Code) 006
Erscheinungsdatum 2019-04-02
Erscheinungsland us
Dokumenttyp Buch ; Online
Datenquelle BASE - Bielefeld Academic Search Engine (Lebenswissenschaftliche Auswahl)

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