M. Sohaib Alam, Quantum Artificial Intelligence Laboratory (QuAIL), NASA Ames Research Center USRA Research Institute for Advanced Computer Science (RIACS), will be presenting "Dynamical Logical Qubits in the Bacon-Shor Code" as part of the Midwest Quantum Collaboratory's 2023-24 seminar series from 10:00 - 11:00 AM on April 11, 2024. A Zoom Option is provided (Passcode mqc24).
Session Abstract:
[https://arxiv.org/abs/2403.03291 The Bacon-Shor code is a quantum error correcting subsystem code composed of weight 2 check operators that admits a single logical qubit, and has distance d on a d×d square lattice. We show that when viewed as a Floquet code, by choosing an appropriate measurement schedule of the check operators, it can additionally host several dynamical logical qubits. Specifically, we identify a period 4 measurement schedule of the check operators that preserves logical information between the instantaneous stabilizer groups. Such a schedule measures not only the usual stabilizers of the Bacon-Shor code, but also additional stabilizers that protect the dynamical logical qubits against errors. We show that the code distance of these Floquet-Bacon-Shor codes scales as Θ(d/√k) on a d×d lattice
with k dynamical logical qubits, along with the logical qubit of the parent subsystem
code. Moreover, several error are shown to be self-corrected purely by the measurement schedule itself.