The impact of classical electronics constraints on a solid-state logical qubit memory - Andrew Landahl

I will describe a fault-tolerant memory for an error-corrected logical qubit based on silicon double quantum dot physical qubits. The design accounts for constraints imposed by supporting classical electronics. A significant consequence of the constraints is to add error-prone idle steps for the physical qubits. Even using a schedule with provably minimum idle time, for the noise model and choice of error-correction code, we find that these additional idles negate any benefits of error correction. Using additional qubit operations, we can greatly suppress idle-induced errors, making error correction beneficial, provided the qubit operations achieve an error rate less than $2 \times 10^{-5}$. I will discuss other consequences of these constraints such as error-correction code choice and physical qubit operation speed. While th analysis is specific to this memory architecture, the methods developed are general enough to apply to other architectures as well.