Parity measurement using parametrically driven resonators - part 2

Non-destructive measurement of multi-qubit parity stabilizers is essential in quantum error correction. For superconducting qubits, one way to perform such parity measurements is to use an ancilla qubit and multiple two-qubit gates. However, this increases the required number of qubits for a given code and the need for two-qubit gates makes this measurement slow.
We propose to directly measure the parity of multiple qubits through a single parametrically driven nonlinear resonator. This would reduce the experimental footprint and at the same time make the parity measurements faster. In this talk, we will present numerical simulations showing that this measurement is fast, high-fidelity and that it preserves the measurement eigenspaces.