Dynamical logical qubits in the Bacon-Shor code

Introduces a Floquet-Bacon-Shor measurement schedule that preserves the usual static logical qubit while creating additional dynamical logical qubits protected by the time-periodic check pattern.

Key Results

• Period-4 measurement schedule for Bacon-Shor gauge checks
• Additional dynamical logical qubits on the same $d\times d$ lattice
• Distance scaling that can saturate the subsystem bound more efficiently than static Bacon-Shor
• Shows that some errors are corrected by the schedule itself

Links

• Journal: Physical Review A
• arXiv: 2403.03291

Zoo Links

• bacon-shor-code
• floquet-codes