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quant-ph2026
Recovery Algorithm for Correlated Errors in Permutation-Invariant Quantum Codes
Omprakash Chandra, Yingkai Ouyang, Gopikrishnan Muraleedharan +1
Quantum Error Recovery (QER) uses knowledge of the error channel acting on a quantum system to find optimal recovery maps. The scheme restores the uncorrupted state with a fidelity…
quant-ph2026
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…
quant-ph2026
The equivalence of quantum deletion and insertion errors on permutation-invariant codes
Lewis Bulled, Yingkai Ouyang
Quantum synchronisation errors are a class of errors that change the number of qubits in a quantum system. The classical error correction of synchronisation errors has been well-st…