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June 2011 Quantum Monte Carlo simulation
Yazhen Wang
Ann. Appl. Stat. 5(2A): 669-683 (June 2011). DOI: 10.1214/10-AOAS406


Contemporary scientific studies often rely on the understanding of complex quantum systems via computer simulation. This paper initiates the statistical study of quantum simulation and proposes a Monte Carlo method for estimating analytically intractable quantities. We derive the bias and variance for the proposed Monte Carlo quantum simulation estimator and establish the asymptotic theory for the estimator. The theory is used to design a computational scheme for minimizing the mean square error of the estimator.


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Yazhen Wang. "Quantum Monte Carlo simulation." Ann. Appl. Stat. 5 (2A) 669 - 683, June 2011.


Published: June 2011
First available in Project Euclid: 13 July 2011

zbMATH: 1209.82045
MathSciNet: MR2840170
Digital Object Identifier: 10.1214/10-AOAS406

Keywords: Asymptotic theory , estimation , Monte Carlo , quantum computation , quantum statistics , qubit

Rights: Copyright © 2011 Institute of Mathematical Statistics

Vol.5 • No. 2A • June 2011
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