Classical shadows and Bayesian mean estimation: a comparison

Joseph M. Lukens; Kody J. H. Law; Ryan S. Bennink

doi:10.1364/CLEO_QELS.2021.FW3N.3

Conference on Lasers and Electro-Optics
OSA Technical Digest (Optica Publishing Group, 2021),
paper FW3N.3
•https://doi.org/10.1364/CLEO_QELS.2021.FW3N.3

Classical shadows and Bayesian mean estimation: a comparison

Joseph M. Lukens, Kody J. H. Law, and Ryan S. Bennink

CLEO: QELS_Fundamental Science 2021

San Jose, California United States
9–14 May 2021
ISBN: 978-1-943580-91-0

From the session
Machine Learning and Applications (FW3N)

Not Accessible

Your library or personal account may give you access

Get PDF
Email
Share
Get Citation
Copy Citation Text
J. M. Lukens, K. J. H. Law, and R. S. Bennink, "Classical shadows and Bayesian mean estimation: a comparison," in Conference on Lasers and Electro-Optics, J. Kang, S. Tomasulo, I. Ilev, D. Müller, N. Litchinitser, S. Polyakov, V. Podolskiy, J. Nunn, C. Dorrer, T. Fortier, Q. Gan, and C. Saraceno, eds., OSA Technical Digest (Optica Publishing Group, 2021), paper FW3N.3.

Export Citation
- BibTex
- Endnote (RIS)
- HTML
- Plain Text
Get Video
Citation alert
Save article

Abstract

Classical shadows enable remarkably efficient estimation of quantum observables, yet their connection to conventional techniques is unclear. In simulated examples we show that Bayesian mean estimation attains lower error on average, whereas classical shadows excel for specific states of interest.

PDF Article | Presentation Video

More Like This

Bayesian mean estimation for finite two-photon experiments

Brian P. Williams and Pavel Lougovski
FTu1C.6 CLEO: QELS_Fundamental Science (CLEO:FS) 2016

Bayesian Optimization-Based Algorithm to Improve the Quality of Transmission Estimation

Reda Ayassi, Ahmed Triki, Maxime Laye, Esther Le Rouzic, Noel Crespi, and Roberto Minerva
NeF2B.3 Photonic Networks and Devices (Networks) 2021

A Bayesian approach to nanoparticle characterization

Joseph M. Lukens and Ali Passian
FTh2B.6 CLEO: QELS_Fundamental Science (CLEO:FS) 2022

Previous Article Next Article

Presentation Video

Presentation video access is available to:

Optica Publishing Group subscribers
Technical meeting attendees
Optica members who wish to use one of their free downloads. Please download the article first. After downloading, please refresh this page.

Contact your librarian or system administrator
or
Log in to access Optica Member Subscription or free downloads