Comparison of spin-qubit architectures for quantum error-correcting codes

Chien-Yuan Chang

We explore two quantum error-correcting codes for spin qubit implementation: the surface code and Bacon-Shor code. We construct a logical qubit from two encoding schemes of electron spins on a planar layout of quantum dots with each code. We compare the performance of each code consisting of only the Zeeman type qubits (Loss-Divincenzo qubits) with the hybrid scheme, where singlet-triplet qubits are deployed with Loss-Divincenzo qubits. We investigate the relevant metrics for each code, mainly the logical state preparation fidelity and the cycle performance of the surface code and Bacon-Shor code with the most recent parameters for spin qubit in silicon. Finally, the hybrid scheme outperforms single spin qubit in both quantum error-correcting codes.