Single-Step Parity Check Gate Set for Quantum Error Correction

Understand

A key requirement for an effective Quantum Error Correction (QEC) scheme is that the physical qubits have error rates below a certain threshold.

• The value of this threshold depends on the details of the specific QEC scheme, and its hardware-level implementation.
• This is especially important with parity-check circuits, which are the fundamental building blocks of QEC codes.
• The standard way of constructing the parity check circuit is using a universal set of gates, namely sequential CNOT gates, single-qubit rotations and measurements.