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Quantum Error Correction Fault Tolerance

Optimally combining dynamical decoupling and quantum error correction

arXiv
Authors: G. A. Paz-Silva, D. A. Lidar

Year

2012

Paper ID

8574

Status

Preprint

Abstract Read

~2 min

Abstract Words

108

Citations

N/A

Abstract

We show how dynamical decoupling (DD) and quantum error correction (QEC) can be optimally combined in the setting of fault tolerant quantum computing. To this end we identify the optimal generator set of DD sequences designed to protect quantum information encoded into stabilizer subspace or subsystem codes. This generator set, comprising the stabilizers and logical operators of the code, minimizes a natural cost function associated with the length of DD sequences. We prove that with the optimal generator set the restrictive local-bath assumption used in earlier work on hybrid DD-QEC schemes, can be significantly relaxed, thus bringing hybrid DD-QEC schemes, and their potentially considerable advantages, closer to realization.

Why This Paper Matters

  • This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
  • It adds a 2012 reference point for readers tracking recent quantum research.
  • We show how dynamical decoupling (DD) and quantum error correction (QEC) can be optimally combined in the setting of fault tolerant quantum computing.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1206.3606 [2] arXiv https://arxiv.org/abs/1206.3606 [3] Publisher https://arxiv.org/abs/1206.3606

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