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 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
Authors
- Daniel Burgarth (ORCID: https://orcid.org/0000-0003-4063-1264)
- Paolo Facchi (ORCID: https://orcid.org/0000-0001-9152-6515)
- Saverio Pascazio (ORCID: https://orcid.org/0000-0002-7214-5685)
- Hiromichi Nakazato (ORCID: https://orcid.org/0000-0002-5257-7309)
- Kazuya Yuasa (ORCID: https://orcid.org/0000-0001-5314-2780)
Institutions
- Waseda University (JP)
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- Istituto Nazionale di Fisica Nucleare, Sezione di Bari (IT)
- University of Bari Aldo Moro (IT)
Publication Details
- Journal
- Physical Review Research
- Published
- 2024-10-10
- DOI
- https://doi.org/10.1103/physrevresearch.6.l042011
- Primary Topic
- Advanced Condensed Matter Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Ministry of Education, Culture, Sports, Science and Technology
- Istituto Nazionale di Fisica Nucleare
- Gruppo Nazionale per la Fisica Matematica
- Japan Society for the Promotion of Science