FIGURE 2 - available via license: Creative Commons Attribution 4.0 International
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Graphical representation of the repetition code. Edges represent qubits, while nodes representˆσrepresentˆ representˆσ (i) x ˆ σ (i+1) x parity (stabilizer) operations between adjacent qubits. Errors in a basis orthogonal to the parity operations are detectable.
Source publication
In this article, we investigate the role of local information in the decoding of the repetition and surface error correction codes for the protection of quantum states. Our key result is an improvement in resource efficiency when local information is taken into account during the decoding process: the code distance associated with a given logical e...
Context in source publication
Context 1
... repetition code, depicted in Fig. 2, is defined by mapping qubit subsystems and operations to a 1 × L chain. It is essentially a classical code, but may nonetheless be used to partially protect quantum information and is useful when the limiting source of error is highly biased along a single dimension. The repetition code embeds one bit within the +1 eigenspace of ...
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