Hybrid boson sampling
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909315127836672 |
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| author | Kocharovsky, V. V. |
| author_facet | Kocharovsky, V. V. |
| contents | We propose boson sampling from a system of coupled photons and Bose-Einstein condensed atoms placed inside a multi-mode cavity as a simulation process testing quantum advantage of quantum systems over classical computers. Consider a two-level atomic transition far-detuned from photon frequency. An atom-photon scattering and interatomic collisions provide interaction creating quasiparticles and exciting atoms, photons into squeezed entangled states orthogonal, respectively, to the atomic condensate and classical field driving the two-level transition. We find a joint probability distribution of atom and photon numbers within a quasi-equilibrium model via a hafnian of an extended covariance matrix. It shows a sampling statistics that is #P-hard for computing even if only photon numbers are sampled. Merging cavity-QED and quantum-gas technologies into hybrid boson sampling setup has the potential to overcome limitations of separate, photon or atom, sampling schemes and reveal quantum advantage. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_08973 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hybrid boson sampling Kocharovsky, V. V. Quantum Physics Quantum Gases We propose boson sampling from a system of coupled photons and Bose-Einstein condensed atoms placed inside a multi-mode cavity as a simulation process testing quantum advantage of quantum systems over classical computers. Consider a two-level atomic transition far-detuned from photon frequency. An atom-photon scattering and interatomic collisions provide interaction creating quasiparticles and exciting atoms, photons into squeezed entangled states orthogonal, respectively, to the atomic condensate and classical field driving the two-level transition. We find a joint probability distribution of atom and photon numbers within a quasi-equilibrium model via a hafnian of an extended covariance matrix. It shows a sampling statistics that is #P-hard for computing even if only photon numbers are sampled. Merging cavity-QED and quantum-gas technologies into hybrid boson sampling setup has the potential to overcome limitations of separate, photon or atom, sampling schemes and reveal quantum advantage. |
| title | Hybrid boson sampling |
| topic | Quantum Physics Quantum Gases |
| url | https://arxiv.org/abs/2409.08973 |