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Paper 1

Testing of flag-based fault-tolerance on IBM quantum devices

Anirudh Lanka

Year
2020
Journal
arXiv preprint
DOI
arXiv:2011.03224
arXiv
2011.03224

It is hard to achieve a theoretical quantum advantage on NISQ devices. Besides the attempts to reduce error using error mitigation and dynamical decoupling, small quantum error correction and fault-tolerant schemes that reduce the high overhead of traditional schemes have also been proposed. According to the recent advancements in fault tolerance, it is possible to minimize the number of ancillary qubits using flags. While implementing those schemes is still impossible, it is worthwhile to bridge the gap between the NISQ era and the FTQC era. Here, we introduce a benchmarking method to test fault-tolerant quantum error correction with flags for the [[5,1,3]] code on NISQ devices. Based on results obtained using IBM's qasm simulator and its 15-qubit Melbourne processor, we show that this flagged scheme is testable on NISQ devices by checking how much the subspace of intermediate state overlaps with the expected state in the presence of noise.

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Paper 2

Topological quantum hashing with the icosahedral group.

Burrello M, Xu H, Mussardo G, Wan X.

Year
2010
Journal
Phys Rev Lett
DOI
10.1103/physrevlett.104.160502
arXiv
-

No abstract.

Open paper