Entangling Schrödinger's cat states by bridging discrete- and continuous-variable encoding
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arXiv
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| Main Authors: | , , , , , , , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929696324714496 |
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| author | Hoshi, Daisuke Nagase, Toshiaki Kwon, Sangil Iyama, Daisuke Kamiya, Takahiko Fujii, Shiori Mukai, Hiroto Ahmed, Shahnawaz Kockum, Anton Frisk Watabe, Shohei Yoshihara, Fumiki Tsai, Jaw-Shen |
| author_facet | Hoshi, Daisuke Nagase, Toshiaki Kwon, Sangil Iyama, Daisuke Kamiya, Takahiko Fujii, Shiori Mukai, Hiroto Ahmed, Shahnawaz Kockum, Anton Frisk Watabe, Shohei Yoshihara, Fumiki Tsai, Jaw-Shen |
| contents | 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 $\sqrt{\textrm{iSWAP}}$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_17999 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Entangling Schrödinger's cat states by bridging discrete- and continuous-variable encoding Hoshi, Daisuke Nagase, Toshiaki Kwon, Sangil Iyama, Daisuke Kamiya, Takahiko Fujii, Shiori Mukai, Hiroto Ahmed, Shahnawaz Kockum, Anton Frisk Watabe, Shohei Yoshihara, Fumiki Tsai, Jaw-Shen Quantum Physics 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 $\sqrt{\textrm{iSWAP}}$ 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. |
| title | Entangling Schrödinger's cat states by bridging discrete- and continuous-variable encoding |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2406.17999 |