Central charge in quantum optics

Burgarth D, Facchi P, Nakazato H, Pascazio S, Yuasa K (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Physical Review Research American Physical Society

Book Volume: 6

Article Number: L042011

Journal Issue: 4

DOI: 10.1103/PhysRevResearch.6.L042011

Abstract

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.

Authors with CRIS profile

Daniel Burgarth Professur für Theoretische Physik

Involved external institutions

University of Bari Aldo Moro / Università degli Studi di Bari Aldo Moro

Italy (IT) Waseda University / 早稲田大学

Japan (JP)

How to cite

APA:

Burgarth, D., Facchi, P., Nakazato, H., Pascazio, S., & Yuasa, K. (2024). Central charge in quantum optics. Physical Review Research, 6(4). https://doi.org/10.1103/PhysRevResearch.6.L042011

MLA:

Burgarth, Daniel, et al. "Central charge in quantum optics." Physical Review Research 6.4 (2024).

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