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Title: Fidelity-optimized quantum state estimation

Abstract

We describe an optimized, self-correcting procedure for the Bayesian inference of pure quantum states. By analyzing the history of measurement outcomes at each step, the procedure returns the most likely pure state, as well as the optimal basis for the measurement that is to follow. The latter is chosen to maximize, on average, the fidelity of the most likely state after the measurement. We also consider a practical variant of this protocol, where the available measurement bases are restricted to certain limited sets of bases. We demonstrate the success of our method by considering in detail the single-qubit and two-qubit cases, and comparing the performance of our method against other existing methods.

Authors:
 [1];  [2]
  1. Univ. of New Mexico, Albuquerque, NM (United States)
  2. Univ. of Southern California, Marina del Rey, CA (United States); Univ. of Southern California, Los Angeles, CA (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
1565354
Grant/Contract Number:  
AC05-00OR22725; PHY-1212445; W911NF-12-1-0523
Resource Type:
Accepted Manuscript
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Volume: 17; Journal Issue: 9; Journal ID: ISSN 1367-2630
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Kalev, Amir, and Hen, Itay. Fidelity-optimized quantum state estimation. United States: N. p., 2015. Web. doi:10.1088/1367-2630/17/9/093008.
Kalev, Amir, & Hen, Itay. Fidelity-optimized quantum state estimation. United States. doi:10.1088/1367-2630/17/9/093008.
Kalev, Amir, and Hen, Itay. Wed . "Fidelity-optimized quantum state estimation". United States. doi:10.1088/1367-2630/17/9/093008. https://www.osti.gov/servlets/purl/1565354.
@article{osti_1565354,
title = {Fidelity-optimized quantum state estimation},
author = {Kalev, Amir and Hen, Itay},
abstractNote = {We describe an optimized, self-correcting procedure for the Bayesian inference of pure quantum states. By analyzing the history of measurement outcomes at each step, the procedure returns the most likely pure state, as well as the optimal basis for the measurement that is to follow. The latter is chosen to maximize, on average, the fidelity of the most likely state after the measurement. We also consider a practical variant of this protocol, where the available measurement bases are restricted to certain limited sets of bases. We demonstrate the success of our method by considering in detail the single-qubit and two-qubit cases, and comparing the performance of our method against other existing methods.},
doi = {10.1088/1367-2630/17/9/093008},
journal = {New Journal of Physics},
number = 9,
volume = 17,
place = {United States},
year = {2015},
month = {9}
}

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