Improving Transmon Qudit Measurement on IBM Quantum Hardware

Fuente: arXiv
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Autores principales: Kehrer, Tobias, Nadolny, Tobias, Bruder, Christoph
Formato: Preprint
Publicado: 2023
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author Kehrer, Tobias
Nadolny, Tobias
Bruder, Christoph
author_facet Kehrer, Tobias
Nadolny, Tobias
Bruder, Christoph
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2307_13504
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Improving Transmon Qudit Measurement on IBM Quantum Hardware
Kehrer, Tobias
Nadolny, Tobias
Bruder, Christoph
Quantum Physics
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.
title Improving Transmon Qudit Measurement on IBM Quantum Hardware
topic Quantum Physics
url https://arxiv.org/abs/2307.13504