The Annals of Applied Statistics

Quantum Monte Carlo simulation

Yazhen Wang

Full-text: Open access

Abstract

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.

Article information

Source
Ann. Appl. Stat., Volume 5, Number 2A (2011), 669-683.

Dates
First available in Project Euclid: 13 July 2011

Permanent link to this document
https://projecteuclid.org/euclid.aoas/1310562200

Digital Object Identifier
doi:10.1214/10-AOAS406

Mathematical Reviews number (MathSciNet)
MR2840170

Zentralblatt MATH identifier
1209.82045

Keywords
Asymptotic theory estimation Monte Carlo qubit quantum computation quantum statistics

Citation

Wang, Yazhen. Quantum Monte Carlo simulation. Ann. Appl. Stat. 5 (2011), no. 2A, 669--683. doi:10.1214/10-AOAS406. https://projecteuclid.org/euclid.aoas/1310562200


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