Central Charge in Quantum Optics
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917805436174336 |
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| author | Burgarth, Daniel Facchi, Paolo Nakazato, Hiromichi Pascazio, Saverio Yuasa, Kazuya |
| author_facet | Burgarth, Daniel Facchi, Paolo Nakazato, Hiromichi Pascazio, Saverio Yuasa, Kazuya |
| contents | The product of two unitaries can normally be expressed as a single exponential through the famous Baker-Campbell-Hausdorff formula. We present here a counterexample in quantum optics, by showing that an expression in terms of a single exponential is possible only at the expense of the introduction of a new element (a central extension of the algebra), implying that there will be unitaries, generated by a sequence of gates, that cannot be generated by any time-independent quadratic Hamiltonian. A quantum-optical experiment is proposed that brings to light this phenomenon. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_17114 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Central Charge in Quantum Optics Burgarth, Daniel Facchi, Paolo Nakazato, Hiromichi Pascazio, Saverio Yuasa, Kazuya Quantum Physics The product of two unitaries can normally be expressed as a single exponential through the famous Baker-Campbell-Hausdorff formula. We present here a counterexample in quantum optics, by showing that an expression in terms of a single exponential is possible only at the expense of the introduction of a new element (a central extension of the algebra), implying that there will be unitaries, generated by a sequence of gates, that cannot be generated by any time-independent quadratic Hamiltonian. A quantum-optical experiment is proposed that brings to light this phenomenon. |
| title | Central Charge in Quantum Optics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2402.17114 |