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Journal of Russian Laser Research

, Volume 39, Issue 4, pp 353–359 | Cite as

Infinitesimal Multimode Bargmann-State Representation*

  • Andras VukicsEmail author
  • Peter Domokos
Article
  • 20 Downloads

Abstract

In the Hilbert space of a light mode (harmonic oscillator), we construct a representation, in which an arbitrary state vector is expanded using Bargmann states ‖α〉 with real parameters α being in an infinitesimal vicinity of zero. The complete Hilbert-space structure is represented in the one- and multimode cases as well, making the representation able to deal with problems of continuous-variable quantum information processing.

Keywords

coherent-state representation continuous-variable quantum information 

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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Wigner Research Centre for Physics, Hungarian Academy of SciencesBudapestHungary

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