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Infinitesimal Multimode Bargmann-State Representation*

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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.

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Correspondence to Andras Vukics.

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*Dedicated to the memory of our former supervisor József Janszky, who was the initiator and master of coherent-state representations in reduced dimensions.

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Vukics, A., Domokos, P. Infinitesimal Multimode Bargmann-State Representation*. J Russ Laser Res 39, 353–359 (2018). https://doi.org/10.1007/s10946-018-9729-x

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  • DOI: https://doi.org/10.1007/s10946-018-9729-x

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