Universal Jaynes-Cummings Control of an Oscillator
Abstract
The Jaynes-Cummings (JC) interaction-the coherent exchange of excitations between a two-level system and a harmonic oscillator-is one of the fundamental interactions of quantum optics, realized across platforms such as cavity quantum electrodynamics, trapped ions, mechanical resonators, and superconducting circuits. Although JC interactions and qubit rotations form a universal gate set for oscillator control, practical implementations have not been demonstrated. Here we develop and experimentally demonstrate universal JC-based oscillator control by compiling arbitrary unitary gates into sequences of JC interactions and qubit rotations. In our experiment, the oscillator is realized using a mode of a high quality factor microwave cavity and the ancilla qubit using a superconducting transmon circuit, with the JC interaction implemented by a sideband interaction enabled by the Josephson nonlinearity. The native gates are constructed to be closed below a chosen cutoff photon number, encoding a qudit with suppressed leakage errors, while ancilla relaxation errors are detectable. We further find that the dispersive shift serves as a compilation resource that reduces circuit depths. We demonstrate universal qudit control and implement a single-qutrit gate set with a mean post-selected process fidelity of 96.3%, as well as ququart and ququint shift gates. These results establish Jaynes-Cummings control as a practical route to universal oscillator control, enabling programmable bosonic processors across a variety of quantum platforms.
Related
- Quantum Optics of harmonic generation in the strongly driven Jaynes-Cummings-type system
- Pöschl-Teller type of Jaynes-Cummings Hamiltonians: SUSY transformations
- Dynamical protection of quantum steering and fidelity dynamics in the double Jaynes-Cummings model
- Supersymmetry of dissipative Bose-Fermi systems with application to Jaynes-Cummings and Dicke models
- Jaynes--Cummings dynamics of fermionic heteronuclear dimers in the Mott regime
BibTeX
@misc{huang2026universal,
title = {{Universal Jaynes-Cummings Control of an Oscillator}},
author = {Jordan Huang and Ethan Kasaba and Thomas J. DiNapoli and Tanay Roy and Srivatsan Chakram},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2605.18658},
eprint = {2605.18658},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.18658},
}
RIS
TY - UNPB
TI - Universal Jaynes-Cummings Control of an Oscillator
AU - Jordan Huang
AU - Ethan Kasaba
AU - Thomas J. DiNapoli
AU - Tanay Roy
AU - Srivatsan Chakram
PY - 2026
DA - 2026/08/29
PB - arXiv
DO - 10.48550/arxiv.2605.18658
UR - https://arxiv.org/abs/2605.18658
AB - The Jaynes-Cummings (JC) interaction-the coherent exchange of excitations between a two-level system and a harmonic oscillator-is one of the fundamental interactions of quantum optics, realized across platforms such as cavity quantum electrodynamics, trapped ions, mechanical resonators, and superconducting circuits. Although JC interactions and qubit rotations form a universal gate set for oscillator control, practical implementations have not been demonstrated. Here we develop and experimentally demonstrate universal JC-based oscillator control by compiling arbitrary unitary gates into sequences of JC interactions and qubit rotations. In our experiment, the oscillator is realized using a mode of a high quality factor microwave cavity and the ancilla qubit using a superconducting transmon circuit, with the JC interaction implemented by a sideband interaction enabled by the Josephson nonlinearity. The native gates are constructed to be closed below a chosen cutoff photon number, encoding a qudit with suppressed leakage errors, while ancilla relaxation errors are detectable. We further find that the dispersive shift serves as a compilation resource that reduces circuit depths. We demonstrate universal qudit control and implement a single-qutrit gate set with a mean post-selected process fidelity of 96.3%, as well as ququart and ququint shift gates. These results establish Jaynes-Cummings control as a practical route to universal oscillator control, enabling programmable bosonic processors across a variety of quantum platforms.
ER -