Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions

Physical qubits in experimental quantum information processors are inevitably exposed to different sources of noise and imperfections, which lead errors that typically accumulate hindering our ability perform long computations reliably. Progress towards scalable robust computation relies on exploiting error correction (QEC) actively battle these undesired effects. In this work, we present a comprehensive study crosstalk quantum-computing architecture based single string ions confined by radio-frequency trap, manipulated individually-addressed laser beams. This type affects spectator that, ideally, should remain unaltered during the application single- two-qubit gates addressed at set active qubits. We microscopically model from first principles detailed showing importance using coherent vs incoherent modelling and, moreover, discuss strategies suppress gate level. Finally, impact residual performance fault-tolerant QEC numerically, identifying target values need be achieved near-term trapped-ion experiments reach break-even point for beneficial with low-distance topological codes.