Parity check operation in a surface code plaquette segment with superconducting qubits*

An essential part of the two-dimensional surface code is the ability to perform $X$ and $Z$-stabilizer parity checks of code qubits via the measurement of ancilla qubits. We benchmark a complete set of high-fidelity single- and two-qubit gates on a three-qubit sub-section of a surface code layout comprised of superconducting resonators and transmons. Combining these gates with high-fidelity individual single-shot readouts, we show a parity check operation, deterministically entangling two qubits which are non-nearest neighbors.