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Quantum Error Correction Fault Tolerance
A repetition code of 15 qubits
arXiv
Authors: James R. Wootton, Daniel Loss
Year
2017
Paper ID
7679
Status
Preprint
Abstract Read
~2 min
Abstract Words
112
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Quantum Error Correction & Fault Tolerance research area in the Quantum Articles archive.
- It adds a 2017 reference point for readers tracking recent quantum research.
- The repetition code is an important primitive for the techniques of quantum error correction.
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