6 papers · 1 filter
A theory of quantum error correction for permutation-invariant codes
Yingkai Ouyang, Gavin K. Brennen
We present for the first time a general theory of error correction for permutation invariant (PI) codes. Using representation theory of the symmetric group we construct efficient a…
The equivalence of quantum deletion and insertion errors on permutation-invariant codes
Lewis Bulled, Yingkai Ouyang
Quantum synchronisation errors are a class of quantum errors that change the number of qubits in a quantum system. The classical error correction of synchronisation errors has been…
An angular momentum approach to quantum insertion errors
Lewis Bulled, Yingkai Ouyang
Quantum insertion errors are a class of errors that increase the number of qubits in a quantum system. Despite a wealth of research on classical insertion errors, there has been li…
The Quantum Internet (Technical Version)
Peter P. Rohde, Zixin Huang, Yingkai Ouyang +14
Following the emergence of quantum computing, the subsequent quantum revolution will be that of interconnecting individual quantum computers at global level. In the same way that c…
Degenerate quantum erasure decoding
Kao-Yueh Kuo, Yingkai Ouyang
Erasures are the primary type of errors in physical systems dominated by leakage errors. While quantum error correction (QEC) using stabilizer codes can combat erasure errors, it r…
Measurement-free code-switching for low overhead quantum computation using permutation invariant codes
Yingkai Ouyang, Yumang Jing, Gavin K. Brennen
Transversal gates on quantum error correction codes have been a promising approach for fault-tolerant quantum computing, but are limited by the Eastin-Knill no-go theorem. Existing…