Low-Depth Flag-Style Syndrome Extraction for Small Quantum Error-Correction Codes

Dhruv Bhatnagar, Matthew Steinberg, David Elkouss, Carmen Almudever, Sebastian Feld

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

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Abstract

Flag-style fault-tolerance has become a linchpin in the realization of small fault-tolerant quantum-error correction experiments. The flag protocol's utility hinges on low qubit over-head, which is typically much smaller than in other approaches. However, as in most fault-tolerance protocols, the advantages of flag-style error correction come with a tradeoff: fault tolerance can be guaranteed, but such protocols involve high-depth circuits, due to the need for repeated stabilizer measurements. Here, we demonstrate that a dynamic choice of stabilizer measurements, based on past syndromes, and the utilization of elements from the full stabilizer group, leads to flag protocols with lower-depth syndrome-extraction circuits for the [[5], [1], [3]] code, as well as for the Steane code when compared to the standard methods in flag fault tolerance. We methodically prove that our new protocols yield fault-tolerant lookup tables, and demonstrate them with a pseudothreshold simulation, showcasing large improvements for all protocols when compared to previously-established methods. This work opens the dialogue on exploiting the properties of the full stabilizer group for reducing circuit overhead in fault-tolerant quantum-error correction.
Original languageEnglish
Title of host publicationProceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023
EditorsHausi Muller, Yuri Alexev, Andrea Delgado, Greg Byrd
PublisherIEEE
Pages63-69
ISBN (Electronic)979-8-3503-4323-6
ISBN (Print)979-8-3503-4324-3
DOIs
Publication statusPublished - 2023
Event2023 IEEE International Conference on Quantum Computing and Engineering (QCE) - Bellevue, United States
Duration: 17 Sept 202322 Sept 2023

Publication series

NameProceedings - 2023 IEEE International Conference on Quantum Computing and Engineering, QCE 2023
Volume1

Conference

Conference2023 IEEE International Conference on Quantum Computing and Engineering (QCE)
Country/TerritoryUnited States
CityBellevue
Period17/09/2322/09/23

Keywords

  • quantum-error correction
  • stabilizer codes
  • flag fault tolerance
  • syndrome extraction
  • quantum computing

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