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Topological quantum computing with a very noisy network and local error rates approaching one percent

Author

Listed:
  • Naomi H. Nickerson

    (Imperial College London, Prince Consort Road)

  • Ying Li

    (Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2)

  • Simon C. Benjamin

    (Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2
    University of Oxford, Parks Road)

Abstract

A scalable quantum computer could be built by networking together many simple processor cells, thus avoiding the need to create a single complex structure. The difficulty is that realistic quantum links are very error prone. A solution is for cells to repeatedly communicate with each other and so purify any imperfections; however prior studies suggest that the cells themselves must then have prohibitively low internal error rates. Here we describe a method by which even error-prone cells can perform purification: groups of cells generate shared resource states, which then enable stabilization of topologically encoded data. Given a realistically noisy network (≥10% error rate) we find that our protocol can succeed provided that intra-cell error rates for initialisation, state manipulation and measurement are below 0.82%. This level of fidelity is already achievable in several laboratory systems.

Suggested Citation

  • Naomi H. Nickerson & Ying Li & Simon C. Benjamin, 2013. "Topological quantum computing with a very noisy network and local error rates approaching one percent," Nature Communications, Nature, vol. 4(1), pages 1-5, June.
    • Handle: RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms2773
    DOI: 10.1038/ncomms2773
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    Cited by:

    1. Steve J. Bickley & Ho Fai Chan & Sascha L. Schmidt & Benno Torgler, 2021. "Quantum-Sapiens: The Quantum Bases for Human Expertise, Knowledge, and Problem-Solving (Extended Version with Applications)," CREMA Working Paper Series 2021-14, Center for Research in Economics, Management and the Arts (CREMA).
    2. Steve J. Bickley & Ho Fai Chan & Sascha L. Schmidt & Benno Torgler, 2020. "Quantum-Sapiens: The Quantum Bases for Human Expertise, Knowledge, and Problem-Solving," CREMA Working Paper Series 2020-18, Center for Research in Economics, Management and the Arts (CREMA).

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