To address this challenge we propose a new logical state-preparation protocol based on locally entangling qubits into small Greenberger-Horne-Zeilinger-like states prior to making the stabilizer measurements that place them in the XY-code state. We prove that in this new procedure O(n) high-rate...
The quantum fault-tolerant threshold theorem states that when the error rate of the physical components is below a certain threshold value for a given quantum error correction code, we can reduce the error rate of the logical qubits indefinitely by scaling up our code.1,2,3 Thus for a given...
Our simulations show that Pauli conjugation can be robust against gate errors. With the help of logical twirling, the undesirable coherence in the noise channel can be removed and the advantages of conjugation over twirling can persist as we go to multiple rounds of quantum error correction....