Basic theory of quantum error correction

Physics Corner 2022. 7. 17. 11:37

1) Encoding into higher dimensional space In QEC, one needs to encode information into a higher dimensional Hilbert space, which can be a system of multiple qubits (like conventional repetition codes, Shor's code, Steane's code,...) or a d-level sy..

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Quantum error correction: Steane 7-qubit code

Physics Corner 2022. 7. 17. 10:59

[7,1] Steane code is an ubiquitous example of Calderbank-Shor-Steane (CSS) class of quantum error correction codes. Steane code was constructed from classical [7,4,3] Hamming code whose parity-check matrix takes the following form \begin{equation..

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