Matrix phase-space representations in quantum optics
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915200544800768 |
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| author | Drummond, Peter D. Dellios, Alexander S. Reid, Margaret D. |
| author_facet | Drummond, Peter D. Dellios, Alexander S. Reid, Margaret D. |
| contents | We introduce matrix quantum phase-space distributions. These extend the idea of a quantum phase-space representation via projections onto a density matrix of global symmetry variables. The method is applied to verification of low-loss Gaussian boson sampling (GBS) quantum computational advantage experiments with up to 10,000 modes, where classically generating photon-number counts is exponentially hard. We demonstrate improvements in sampling error by a factor of 1000 or more compared to unprojected methods, which are infeasible for such cases. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12749 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Matrix phase-space representations in quantum optics Drummond, Peter D. Dellios, Alexander S. Reid, Margaret D. Quantum Physics Mathematical Physics Computational Physics We introduce matrix quantum phase-space distributions. These extend the idea of a quantum phase-space representation via projections onto a density matrix of global symmetry variables. The method is applied to verification of low-loss Gaussian boson sampling (GBS) quantum computational advantage experiments with up to 10,000 modes, where classically generating photon-number counts is exponentially hard. We demonstrate improvements in sampling error by a factor of 1000 or more compared to unprojected methods, which are infeasible for such cases. |
| title | Matrix phase-space representations in quantum optics |
| topic | Quantum Physics Mathematical Physics Computational Physics |
| url | https://arxiv.org/abs/2503.12749 |