Analytical error analysis of Clifford gates by the fault-path tracer method

Journal Article (Journal Article)

We estimate the success probability of quantum protocols composed of Clifford operations in the presence of Pauli errors. Our method is derived from the fault-point formalism previously used to determine the success rate of low-distance error correction codes. Here we apply it to a wider range of quantum protocols and identify circuit structures that allow for efficient calculation of the exact success probability and even the final distribution of output states. As examples, we apply our method to the Bernstein–Vazirani algorithm and the Steane [[7,1,3]] quantum error correction code and compare the results to Monte Carlo simulations.

Full Text

Duke Authors

Cited Authors

  • Janardan, S; Tomita, Y; Gutiérrez, M; Brown, KR

Published Date

  • August 1, 2016

Published In

Volume / Issue

  • 15 / 8

Start / End Page

  • 3065 - 3079

International Standard Serial Number (ISSN)

  • 1570-0755

Digital Object Identifier (DOI)

  • 10.1007/s11128-016-1330-z

Citation Source

  • Scopus