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Propagating Gottesman-Kitaev-Preskill states encoded in an optical oscillator

Konno, Shunya, University of Tokyo, https://orcid.org/0000-0001-5805-5029
Asavanant, Warit, University of Tokyo, https://orcid.org/0000-0002-3722-3676
Hanamura, Fumiya, University of Tokyo, https://orcid.org/0000-0002-2382-4593
Nagayoshi, Hironari, University of Tokyo, https://orcid.org/0009-0005-3516-5643
Fukui, Kosuke, University of Tokyo, https://orcid.org/0000-0002-8231-7241
Sakaguchi, Atsushi, RIKEN, https://orcid.org/0000-0001-6846-5240
Ide, Ryuhoh, University of Tokyo, https://orcid.org/0009-0001-8869-5649
China, Fumihiro, National Institute of Information and Communications Technology, https://orcid.org/0000-0003-2144-8229
Yabuno, Masahiro, National Institute of Information and Communications Technology, https://orcid.org/0000-0002-6436-1636
Miki, Shigehito, National Institute of Information and Communications Technology
Terai, Hirotaka, National Institute of Information and Communications Technology, https://orcid.org/0000-0002-5575-2221
Takase, Kan, University of Tokyo, https://orcid.org/0000-0003-4017-8332
Endo, Mamoru, University of Tokyo, https://orcid.org/0000-0003-4594-6791
Marek, Petr, Palacký University, Olomouc, https://orcid.org/0000-0002-5761-8966
Filip, Radim, Palacký University, Olomouc, https://orcid.org/0000-0003-4114-6068
van Loock, Peter, Johannes Gutenberg University of Mainz, https://orcid.org/0000-0001-9445-0771
Furusawa, Akira, University of Tokyo, https://orcid.org/0000-0002-6176-6742
konno@alice.t.u-tokyo.ac.jp, warit@alice.t.u-tokyo.ac.jp, fhanamura@alice.t.u-tokyo.ac.jp, nagayoshi@alice.t.u-tokyo.ac.jp, fukui@alice.t.u-tokyo.ac.jp, atsushi.sakaguchi@riken.jp, ide@alice.t.u-tokyo.ac.jp, f-china@nict.go.jp, masahiro.yabuno@nict.go.jp, s-miki@nict.go.jp, terai@nict.go.jp, takase@alice.t.u-tokyo.ac.jp, endo@ap.t.u-tokyo.ac.jp, marek@optics.upol.cz, filip@optics.upol.cz, loock@uni-mainz.de, akiraf@ap.t.u-tokyo.ac.jp
Published Jan 03, 2024 on Dryad. https://doi.org/10.5061/dryad.t76hdr86j

Cite this dataset

Konno, Shunya et al. (2024). Propagating Gottesman-Kitaev-Preskill states encoded in an optical oscillator [Dataset]. Dryad. https://doi.org/10.5061/dryad.t76hdr86j

Abstract

Gottesman-Kitaev-Preskill (GKP) qubit in a single Bosonic harmonic oscillator is an efficient logical qubit for mitigating errors in a quantum computer. The entangling gates and syndrome measurements for quantum error correction only require noise-robust linear operations, a toolbox that is naturally available and scalable in optical system. To date, however, GKP qubits have been only demonstrated at mechanical and microwave frequency in a highly nonlinear stationary system. In this work, we realize a GKP state in propagating light at the telecommunication wavelength and demonstrate homodyne measurements on the GKP states without loss corrections. Our states do not only show nonclassicality and non-Gaussianity at room temperature and atmospheric pressure, but the propagating wave property also permits large-scale quantum computation with strong compatibility to telecommunication technology.

README: Propagating Gottesman-Kitaev-Preskill states encoded in an optical oscillator

https://doi.org/10.5061/dryad.t76hdr86j

Description of the data and file structure

The data are the processed quadrature values of the generated states. The Wigner function can be obtained by reconstructing the data via maximum likelihood method. The files in this submission are

  1. quad_0deg.npy
  2. quad_30deg.npy
  3. quad_60deg.npy
  4. quad_-30deg.npy
  5. quad_-60deg.npy
  6. quad_-90deg.npy

The text **deg corresponds to the phase of the measured data. Note that for the quadrature distribution in the paper, we redefine the phase as the minus phase correspond to the same phase +180 deg with the quadrature values flipped. This process is done for making the figure simpler in the paper and does not affect the subsequent calculation.

The file can be opened by standard Python library called Numpy using the Load command. Each file contains a single array and each element corresponds to an event of the measured quadrature of the generated states processed by integration of the homodyne measurement signals with the wave packet shape.

Methods

This is the data of the quadrature values of the generated states which are obtained by postprocessing of the homodyne detector data collected via oscilloscope. 

Funding

Japan Society for the Promotion of Science, Award: 23K13040

Japan Society for the Promotion of Science, Award: 21J11615

Czech Science Foundation, Award: 22-08772S

Czech Science Foundation, Award: 21-13265X

Japan Science and Technology Agency, Award: JPMJPR2254

Moonshot Research and Development Program, Award: JPMJMS2064

Moonshot Research and Development Program, Award: JPMJMS2066

UTokyo Foundation

Nichia Corporation

Research Foundation for OptoScience and Technology

CLUSTEC, Award: 101080173

EU H2020-WIDESPREAD-2020-5, Award: NONGAUSS (951737)

Federal Ministry of Education and Research