Stabilizer quantum error correction toolbox for superconducting qubits

TL;DR

This paper introduces a protocol for stabilizer measurements in superconducting qubits, enabling efficient quantum error correction by mapping Pauli operator eigenvalues onto cavity states in a high-Q resonator system.

Contribution

It presents a novel method for stabilizer measurement using dispersive coupling and cavity states, advancing quantum error correction techniques for superconducting qubits.

Findings

Efficient mapping of Pauli eigenvalues onto cavity states.

Enables fast and reliable stabilizer measurements.

Applicable to systems with N superconducting qubits.

Abstract

We present a general protocol for stabilizer measurements and pumping in a system of N superconducting qubits. We assume always-on, equal dispersive couplings to a single mode of a high-Q microwave resonator in the ultra-strong dispersive limit where the dispersive shifts largely exceed the spectral linewidth. In this limit, we show how to map the two eigenvalues of an arbitrary weight M < N Pauli operator, onto two quasi-orthogonal coherent states of the cavity. Together with a fast cavity readout, this enables the efficient measurement of stabilizer operators.