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Title: Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography

Abstract

Quantum information processors promise fast algorithms for problems inaccessible to classical computers. But since qubits are noisy and error-prone, they will depend on fault-tolerant quantum error correction (FTQEC) to compute reliably. Quantum error correction can protect against general noise if—and only if—the error in each physical qubit operation is smaller than a certain threshold. The threshold for general errors is quantified by their diamond norm. Until now, qubits have been assessed primarily by randomized benchmarking, which reports a different error rate that is not sensitive to all errors, and cannot be compared directly to diamond norm thresholds. Finally, we use gate set tomography to completely characterize operations on a trapped-Yb +-ion qubit and demonstrate with greater than 95% confidence that they satisfy a rigorous threshold for FTQEC (diamond norm ≤6.7 × 10 -4).

Authors:
 [1];  [1];  [2];  [1];  [3];  [2];  [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States). Center for Computing Research
  2. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  3. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Univ. of Maryland and National Institute of Standards and Technology, College Park, MD (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; Intelligence Advanced Research Projects Activity (IARPA) (United States)
OSTI Identifier:
1323885
Report Number(s):
SAND-2016-4951J
Journal ID: ISSN 2041-1723; 640732
Grant/Contract Number:  
AC04-94AL85000
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Nature Communications
Additional Journal Information:
Journal Volume: 8; Journal ID: ISSN 2041-1723
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; atomic and molecular interactions with photons; quantum information; qubits

Citation Formats

Blume-Kohout, Robin, Gamble, John King, Nielsen, Erik, Rudinger, Kenneth, Mizrahi, Jonathan, Fortier, Kevin, and Maunz, Peter. Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography. United States: N. p., 2017. Web. doi:10.1038/ncomms14485.
Blume-Kohout, Robin, Gamble, John King, Nielsen, Erik, Rudinger, Kenneth, Mizrahi, Jonathan, Fortier, Kevin, & Maunz, Peter. Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography. United States. doi:10.1038/ncomms14485.
Blume-Kohout, Robin, Gamble, John King, Nielsen, Erik, Rudinger, Kenneth, Mizrahi, Jonathan, Fortier, Kevin, and Maunz, Peter. Wed . "Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography". United States. doi:10.1038/ncomms14485. https://www.osti.gov/servlets/purl/1323885.
@article{osti_1323885,
title = {Demonstration of qubit operations below a rigorous fault tolerance threshold with gate set tomography},
author = {Blume-Kohout, Robin and Gamble, John King and Nielsen, Erik and Rudinger, Kenneth and Mizrahi, Jonathan and Fortier, Kevin and Maunz, Peter},
abstractNote = {Quantum information processors promise fast algorithms for problems inaccessible to classical computers. But since qubits are noisy and error-prone, they will depend on fault-tolerant quantum error correction (FTQEC) to compute reliably. Quantum error correction can protect against general noise if—and only if—the error in each physical qubit operation is smaller than a certain threshold. The threshold for general errors is quantified by their diamond norm. Until now, qubits have been assessed primarily by randomized benchmarking, which reports a different error rate that is not sensitive to all errors, and cannot be compared directly to diamond norm thresholds. Finally, we use gate set tomography to completely characterize operations on a trapped-Yb+-ion qubit and demonstrate with greater than 95% confidence that they satisfy a rigorous threshold for FTQEC (diamond norm ≤6.7 × 10-4).},
doi = {10.1038/ncomms14485},
journal = {Nature Communications},
number = ,
volume = 8,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2017},
month = {Wed Feb 15 00:00:00 EST 2017}
}

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Cited by: 6 works
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