Variance of the sum of independent quantum computing errors

García López de Lacalle, Jesús and Pozo Coronado, Luis Miguel (2019). Variance of the sum of independent quantum computing errors. "Quantum information & computation", v. 19 (n. 15-16); pp. 1294-1312. ISSN 1533-7146. https://doi.org/https://doi.org/10.26421/QIC19.15-16.

Description

Title: Variance of the sum of independent quantum computing errors
Author/s:
  • García López de Lacalle, Jesús
  • Pozo Coronado, Luis Miguel
Item Type: Article
Journal/Publication Title: Quantum information & computation
Date: December 2019
ISSN: 1533-7146
Volume: 19
Subjects:
Freetext Keywords: Quantum computing errors; Variance; Isotropic quantum computing errors; Random variables on spheres
Faculty: E.T.S.I. de Sistemas Informáticos (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

The sum of quantum computing errors is the key element both for the estimation and control of errors in quantum computing and for its statistical study. In this article we analyze the sum of two independent quantum computing errors, X1 and X2, and we obtain the formula of the variance of the sum of these errors: V(X1+X2)=V(X1)+V(X2)−V(X1)V(X2)2. We conjecture that this result holds true for general quantum computing errors and weprove the formula for independent isotropic quantum computing errors.

More information

Item ID: 64342
DC Identifier: http://oa.upm.es/64342/
OAI Identifier: oai:oa.upm.es:64342
DOI: https://doi.org/10.26421/QIC19.15-16
Official URL: http://www.rintonpress.com/journals/qiconline.html
Deposited by: Memoria Investigacion
Deposited on: 26 Jan 2021 08:54
Last Modified: 21 May 2021 10:15
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