Families of $d=2$ 2D subsystem stabilizer codes for universal
Hamiltonian quantum computation with two-body interactions
Families of $d=2$ 2D subsystem stabilizer codes for universal
Hamiltonian quantum computation with two-body interactions
Lacking quantum error correction (QEC) schemes for Hamiltonian-based quantum computations due to their continuous-time nature, energetically penalizing the errors is an effective error suppression technique. In this work, we construct families of distance-$2$ quantum error detection codes (QEDCs) using Bravyi's $A$ matrix framework, tailored for penalty-protection schemes. We identify a …