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

Naomi H. Nickerson, Ying Li and Simon C. Benjamin ()
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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

Nature Communications, 2013, vol. 4, issue 1, 1-5

Abstract: 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.

Date: 2013
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DOI: 10.1038/ncomms2773

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