The Hilbert space of a physical qubit typically features more than two energy levels. Using states outside the qubit subspace can provide advantages in quantum computation. To benefit from these advantages, individual states of the d-dimensional qudit Hilbert space have to be discriminated during readout. We propose and analyze two measurement strategies that improve the distinguishability of transmon qudit states. Based on a model describing the readout of a transmon qudit coupled to a resonator, we identify the regime in hardware parameter space where each strategy is optimal. We discuss these strategies in the context of a practical implementation of the default measurement of a ququart on IBM Quantum hardware whose states are prepared by employing higher-order X gates that make use of two-photon transitions.
@article{arxiv.2307.13504,
title = {Improving Transmon Qudit Measurement on IBM Quantum Hardware},
author = {Tobias Kehrer and Tobias Nadolny and Christoph Bruder},
journal= {arXiv preprint arXiv:2307.13504},
year = {2024}
}