Quantum error correction in crossbar architectures

Jonas Helsen, Mark Steudtner, Menno Veldhorst, Stephanie Wehner

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)
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Abstract

A central challenge for the scaling of quantum computing systems is the need to control all qubits in the system without a large overhead. A solution for this problem in classical computing comes in the form of so-called crossbar architectures. Recently we made a proposal for a large-scale quantum processor (Li et al arXiv:1711.03807 (2017)) to be implemented in silicon quantum dots. This system features a crossbar control architecture which limits parallel single-qubit control, but allows the scheme to overcome control scaling issues that form a major hurdle to large-scale quantum computing systems. In this work, we develop a language that makes it possible to easily map quantum circuits to crossbar systems, taking into account their architecture and control limitations. Using this language we show how to map well known quantum error correction codes such as the planar surface and color codes in this limited control setting with only a small overhead in time. We analyze the logical error behavior of this surface code mapping for estimated experimental parameters of the crossbar system and conclude that logical error suppression to a level useful for real quantum computation is feasible.

Original languageEnglish
Article number035005
JournalQuantum Science and Technology
Volume3
Issue number3
DOIs
Publication statusPublished - 3 May 2018

Keywords

  • control of quantum computers
  • quantum computing
  • quantum computing architectures
  • quantum error correction

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