Improving Transmon Qudit Measurement on IBM Quantum Hardware

• URL: http://arxiv.org/abs/2307.13504v2
• Date: Fri, 19 Jan 2024 14:14:14 GMT
• Title: Improving Transmon Qudit Measurement on IBM Quantum Hardware
• Authors: Tobias Kehrer, Tobias Nadolny, Christoph Bruder
• Abstract summary: We propose and analyze two measurement strategies that improve the distinguishability of transmon qudit states. We discuss these strategies in the context of a practical implementation of the default measurement of a ququart on IBM Quantum hardware.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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