Scalable surface-code quantum error correction based on cavity-QED network*

The exploration of an efficient and scalable architecture of fault-tolerant quantum computing (FTQC) is among the most important keys to the demonstration of useful quantum computing. In this presentation, we propose a scalable and practical architecture with a cavity network, each cavity including neutral atoms as data qubits. In our architecture, all atomic qubits are connectable each other via intra cavity fields and the interconnection of cavities by fibers or waveguides, which is flexibly reconfigurable with optical switches. The flexibility in the connection of qubits is advantageous in efficiently constructing a logical qubit. We consider several specific structures of cavity network and analyze the error model in each structure along with a discussion of the difficulties of implementing it. We then numerically estimate the logical error probability and threshold values under the circuit-level noise model. Through these analyses, we also evaluate the efficacy of a heralded syndrome measurement relying on the detection of photon loss events.