Document Type

Article

Publication Date

2025

DOI

10.1103/kbv4-jj51

Publication Title

Physical Review A

Volume

112

Issue

1

Pages

012620 (1-19)

Abstract

We explore the feasibility of gate-based hybrid quantum computing using both discrete (qubit) and continuous (qumode) variables on trapped-ion platforms. Trapped-ion systems have demonstrated record one- and two-qubit gate fidelities and long qubit coherence times, while qumodes, which can be represented by the collective vibrational modes of the ion chain, have remained relatively unexplored for their use in computing. Using numerical simulations, we show that high-fidelity hybrid gates and measurement operations can be achieved for existing trapped-ion quantum platforms. As an exemplary application, we consider quantum simulations of the Jaynes-Cummings-Hubbard model, which is given by a one-dimensional chain of interacting spin and boson degrees of freedom. Using classical simulations, we study its real-time evolution and develop a suitable variational quantum algorithm for ground-state preparation. Our results should motivate further studies of hybrid quantum computing in this context, which may lead to direct applications in condensed-matter and fundamental particle and nuclear physics.

Rights

©2025 American Physical Society. All rights reserved.

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Data Availability

Article states: "All data relevant to this work can be obtained from the authors upon reasonable request."

Original Publication Citation

Araz, J. Y., Grau, M., Montgomery, J., & Ringer, F. (2025). Hybrid quantum simulations with qubits and qumodes on trapped-ion platforms. Physical Review A, 112(1), 1-19, Article 012620. https://doi.org/10.1103/kbv4-jj51

ORCID

0000-0001-8721-8042 (Araz), 0000-0002-2684-6923 (Grau), 0000-0002-5939-3510 (Ringer)

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