6
votes
Is there any programming project that implements one quantum error correction code or demonstrates it?
Three-coupler and iswap and walking surface codes
Pair-measurement surface code
Honeycomb code
Bacon-Shor code and Fractal Bacon-Shor code
You may also want to look at the example circuits in ...
- 32.3k
5
votes
Accepted
Proof that for an $[\![n,k,d]\!]$ code we have $N(S)/S\simeq{\cal G}_k$ with $S$ stabilizer
TL;DR: This can be seen by decoding the $k$ logical qubits out of the code subspace into the first $k$ physical qubits while keeping track of the stabilizer group.
Code subspace
Consider an $[\![n,k]\!...
- 20k
2
votes
Accepted
Encoding circuit for $[\![6, 4, 2]\!]$ code
This can easily be done using stac. More explanations of the process for generating the encoding circuit is explained in a previous answer. But, since, this question is specifically asking for $[[2m, ...
- 1,395
2
votes
Encoding circuit for $[\![6, 4, 2]\!]$ code
We can obtain an encoding circuit for the $[\![m,m-2,2]\!]$ code for any even $m$ by generalizing the circuit displayed in the question. More precisely, for every new qubit we prepend a CNOT gate with ...
- 20k
2
votes
15-to-1 distillation protocol implemented with lattice surgery: don't we loose transversality by commuting Clifford toward measurements?
We don't actually care about the fact that the T gates are "transversal". That's just a way of explaining why the circuit works. The underlying thing we care about is the fact that replacing ...
- 32.3k
1
vote
Accepted
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