Repetition code of 15 qubits

James R. Wootton and Daniel Loss
Phys. Rev. A 97, 052313 – Published 10 May 2018
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Abstract

The repetition code is an important primitive for the techniques of quantum error correction. Here we implement repetition codes of at most 15 qubits on the 16 qubit ibmqx3 device. Each experiment is run for a single round of syndrome measurements, achieved using the standard quantum technique of using ancilla qubits and controlled operations. The size of the final syndrome is small enough to allow for lookup table decoding using experimentally obtained data. The results show strong evidence that the logical error rate decays exponentially with code distance, as is expected and required for the development of fault-tolerant quantum computers. The results also give insight into the nature of noise in the device.

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  • Received 19 September 2017
  • Revised 14 February 2018

DOI:https://doi.org/10.1103/PhysRevA.97.052313

©2018 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

James R. Wootton and Daniel Loss

  • Department of Physics, University of Basel, Klingelbergstrasse 82, CH-4056 Basel, Switzerland

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Issue

Vol. 97, Iss. 5 — May 2018

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