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jessriedel 3 days ago

Just an example to expand on what others are saying: in the N^2-qubit Shor code, the X information is recorded redundantly in N disjoint sets of N qubits each, and the Z information is recorded redundantly in a different partitioning of N disjoint sets of N qubits each. You could literally have N observers each make separate measurements on disjoint regions of space and all access the X information about the qubit. And likewise for Z. In that sense it's a repetition code.

adastra22 3 days ago | parent [-]

That’s also correct but not what the sibling comments are saying ;)

There are quantum error correction methods which more resemble error correction codes rather than replication, and that resemblance is fundamental: they ARE classical error correction codes transposed into quantum operations.

jessriedel 9 hours ago | parent [-]

I understand that. I’m giving an example that is an instance of the sibling commenters’ claims that more transparently rebuts the idea that quantum codes cannot use redundancy because of no cloning.