Central charge in quantum optics
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 o...
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| Published in: | Physical review research Vol. 6; no. 4; p. L042011 |
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| Main Authors: | , , , , |
| Format: | Journal Article |
| Language: | English |
| Published: |
American Physical Society
01-10-2024
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| Online Access: | Get full text |
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| Summary: | 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. Published by the American Physical Society 2024 |
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| ISSN: | 2643-1564 2643-1564 |
| DOI: | 10.1103/PhysRevResearch.6.L042011 |