Title
Analytical Error Analysis of Clifford Gates by the Fault-Path Tracer Method
Abstract
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.
Year
DOI
Venue
2016
10.1007/s11128-016-1330-z
Quantum Information Processing
Keywords
Field
DocType
Quantum error correction,Thresholds,Bernstein–Vazirani algorithm,Clifford circuits
Monte Carlo method,TRACER,Quantum mechanics,Error detection and correction,Formalism (philosophy),Quantum protocols,Quantum error correction,Physics,Pauli exclusion principle
Journal
Volume
Issue
ISSN
15
8
Quantum Information Processing, August 2016, Volume 15, Issue 8, pp 3065-3079
Citations 
PageRank 
References 
0
0.34
4
Authors
4
Name
Order
Citations
PageRank
smitha janardan100.34
Yu Tomita2192.06
mauricio gutierrez300.34
Kenneth R. Brown4296.08