Infinitesimal multi-mode Bargmann-state representation

Vukics, András and Domokos, Péter (2018) Infinitesimal multi-mode Bargmann-state representation. Journal of Russian Laser Research, 39 (4). ISSN 1071-2836

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Abstract

We construct a representation of the Hilbert-space of a light mode (harmonic oscillator) in which an arbitrary state vector is expanded using Bargmann states \(\Bket{\alpha}\) with real parameters \(\alpha\) which are in an infinitesimal vicinity of zero. The complete Hilbert-space structure is represented in the one- and multimode case as well, making the representation able to deal with problems of continuous-variable quantum information processing.

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