Entangling Schrödinger’s cat states by bridging discrete- and continuous-variable encoding

Abstract In quantum information processing, two primary research directions have emerged: one based on discrete variables (DV) and the other on the structure of quantum states in a continuous-variable (CV) space. Integrating these two approaches could unlock new potentials, overcoming their respecti...

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Main Authors: Daisuke Hoshi, Toshiaki Nagase, Sangil Kwon, Daisuke Iyama, Takahiko Kamiya, Shiori Fujii, Hiroto Mukai, Shahnawaz Ahmed, Anton Frisk Kockum, Shohei Watabe, Fumiki Yoshihara, Jaw-Shen Tsai
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Nature Communications
Online Access:https://doi.org/10.1038/s41467-025-56503-8
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author Daisuke Hoshi
Toshiaki Nagase
Sangil Kwon
Daisuke Iyama
Takahiko Kamiya
Shiori Fujii
Hiroto Mukai
Shahnawaz Ahmed
Anton Frisk Kockum
Shohei Watabe
Fumiki Yoshihara
Jaw-Shen Tsai
author_facet Daisuke Hoshi
Toshiaki Nagase
Sangil Kwon
Daisuke Iyama
Takahiko Kamiya
Shiori Fujii
Hiroto Mukai
Shahnawaz Ahmed
Anton Frisk Kockum
Shohei Watabe
Fumiki Yoshihara
Jaw-Shen Tsai
author_sort Daisuke Hoshi
collection DOAJ
description Abstract In quantum information processing, two primary research directions have emerged: one based on discrete variables (DV) and the other on the structure of quantum states in a continuous-variable (CV) space. Integrating these two approaches could unlock new potentials, overcoming their respective limitations. Here, we show that such a DV–CV hybrid approach, applied to superconducting Kerr parametric oscillators (KPOs), enables us to entangle a pair of Schrödinger’s cat states by two methods. The first involves the entanglement-preserving conversion between Bell states in the Fock-state basis (DV encoding) and those in the cat-state basis (CV encoding). The second method implements a $$\sqrt{{{{\rm{iSWAP}}}}}$$ iSWAP gate between two cat states following the procedure for Fock-state encoding. This simple and fast gate operation completes a universal quantum gate set in a KPO system. Our work offers powerful applications of DV–CV hybridization and marks a first step toward developing a multi-qubit platform based on planar KPO systems.
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institution Kabale University
issn 2041-1723
language English
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publisher Nature Portfolio
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series Nature Communications
spelling doaj-art-5611a8c629014e15981fbfb704a149742025-02-09T12:45:10ZengNature PortfolioNature Communications2041-17232025-02-0116111010.1038/s41467-025-56503-8Entangling Schrödinger’s cat states by bridging discrete- and continuous-variable encodingDaisuke Hoshi0Toshiaki Nagase1Sangil Kwon2Daisuke Iyama3Takahiko Kamiya4Shiori Fujii5Hiroto Mukai6Shahnawaz Ahmed7Anton Frisk Kockum8Shohei Watabe9Fumiki Yoshihara10Jaw-Shen Tsai11Department of Physics, Graduate School of Science, Tokyo University of ScienceDepartment of Physics, Graduate School of Science, Tokyo University of ScienceResearch Institute for Science and Technology, Tokyo University of ScienceDepartment of Physics, Graduate School of Science, Tokyo University of ScienceDepartment of Physics, Graduate School of Science, Tokyo University of ScienceDepartment of Physics, Graduate School of Science, Tokyo University of ScienceRIKEN Center for Quantum Computing (RQC)Department of Microtechnology and Nanoscience, Chalmers University of TechnologyDepartment of Microtechnology and Nanoscience, Chalmers University of TechnologyResearch Institute for Science and Technology, Tokyo University of ScienceDepartment of Physics, Graduate School of Science, Tokyo University of ScienceRIKEN Center for Quantum Computing (RQC)Abstract In quantum information processing, two primary research directions have emerged: one based on discrete variables (DV) and the other on the structure of quantum states in a continuous-variable (CV) space. Integrating these two approaches could unlock new potentials, overcoming their respective limitations. Here, we show that such a DV–CV hybrid approach, applied to superconducting Kerr parametric oscillators (KPOs), enables us to entangle a pair of Schrödinger’s cat states by two methods. The first involves the entanglement-preserving conversion between Bell states in the Fock-state basis (DV encoding) and those in the cat-state basis (CV encoding). The second method implements a $$\sqrt{{{{\rm{iSWAP}}}}}$$ iSWAP gate between two cat states following the procedure for Fock-state encoding. This simple and fast gate operation completes a universal quantum gate set in a KPO system. Our work offers powerful applications of DV–CV hybridization and marks a first step toward developing a multi-qubit platform based on planar KPO systems.https://doi.org/10.1038/s41467-025-56503-8
spellingShingle Daisuke Hoshi
Toshiaki Nagase
Sangil Kwon
Daisuke Iyama
Takahiko Kamiya
Shiori Fujii
Hiroto Mukai
Shahnawaz Ahmed
Anton Frisk Kockum
Shohei Watabe
Fumiki Yoshihara
Jaw-Shen Tsai
Entangling Schrödinger’s cat states by bridging discrete- and continuous-variable encoding
Nature Communications
title Entangling Schrödinger’s cat states by bridging discrete- and continuous-variable encoding
title_full Entangling Schrödinger’s cat states by bridging discrete- and continuous-variable encoding
title_fullStr Entangling Schrödinger’s cat states by bridging discrete- and continuous-variable encoding
title_full_unstemmed Entangling Schrödinger’s cat states by bridging discrete- and continuous-variable encoding
title_short Entangling Schrödinger’s cat states by bridging discrete- and continuous-variable encoding
title_sort entangling schrodinger s cat states by bridging discrete and continuous variable encoding
url https://doi.org/10.1038/s41467-025-56503-8
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