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PreprintarXiv licencearXiv

Cubic Phase Gate with a Trapped Ion Oscillator

Abstract

The motional modes of trapped ions are promising candidates for continuous-variable (CV) quantum computation and simulation. However, to achieve a universal gate set for CV quantum computation, anharmonic nonlinear unitaries are required. Here, we experimentally demonstrate a protocol that allows us to approximate the cubic phase gate. By numerically optimizing the phase angles and amplitudes of a set of state-dependent force pulses, we demonstrate the cubic phase gate for both vacuum and low-α coherent state inputs and verify its performance. Our protocol can also be extended to approximate other nonlinear unitaries.

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BibTeX
@misc{junsheng2026cubic,
  title = {{Cubic Phase Gate with a Trapped Ion Oscillator}},
  author = {Nigel Benjamin Lee Junsheng and Eugene Koh Jun Wei and Mu Young Kim and Dzmitry Matsukevich},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.34774},
  eprint = {2609.34774},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.34774},
}
RIS
TY  - UNPB
TI  - Cubic Phase Gate with a Trapped Ion Oscillator
AU  - Nigel Benjamin Lee Junsheng
AU  - Eugene Koh Jun Wei
AU  - Mu Young Kim
AU  - Dzmitry Matsukevich
PY  - 2026
DA  - 2026/09/28
PB  - arXiv
DO  - 10.48550/arxiv.2609.34774
UR  - https://arxiv.org/abs/2609.34774
AB  - The motional modes of trapped ions are promising candidates for continuous-variable (CV) quantum computation and simulation. However, to achieve a universal gate set for CV quantum computation, anharmonic nonlinear unitaries are required. Here, we experimentally demonstrate a protocol that allows us to approximate the cubic phase gate. By numerically optimizing the phase angles and amplitudes of a set of state-dependent force pulses, we demonstrate the cubic phase gate for both vacuum and low-α coherent state inputs and verify its performance. Our protocol can also be extended to approximate other nonlinear unitaries.
ER  -