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Quantum Error Correction Fault Tolerance

A family of [[6k, 2k, 2]] codes for practical, scalable adiabatic quantum computation

arXiv
Authors: Anand Ganti, Uzoma Onunkwo, Kevin Young

Year

2013

Paper ID

32858

Status

Preprint

Abstract Read

~2 min

Abstract Words

76

Citations

N/A

Abstract

In this work, we introduce a new family of [[6k, 2k, 2]] codes designed specifically to be compatible with adiabatic quantum computation. These codes support computationally universal sets of weight-two logical operators and are particularly well-suited for implementing dynamical decoupling error suppression. For Hamiltonians embeddable on a planar graph of fixed degree, our encoding maintains a planar connectivity graph and increase the graph degree by only two. These codes are the first known to possess these features.

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  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
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  • In this work, we introduce a new family of [[6k, 2k, 2]] codes designed specifically to be compatible with adiabatic quantum computation.

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