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    Continuous-variable quantum communication

    Vladyslav C. Usenko*, Antonio Acín, Romain Alléaume, Ulrik L. Andersen, Eleni Diamanti, Tobias Gehring, Adnan A. E. Hajomer, Florian Kanitschar, Christoph Pacher et al.

    Vladyslav C. Usenko*

    • Department of Optics, Faculty of Science, Palacký University, 17. listopadu 12, 77900 Olomouc, Czech Republic

    Antonio Acín

    Romain Alléaume

    Ulrik L. Andersen

    Eleni Diamanti

    Tobias Gehring and Adnan A. E. Hajomer

    Florian Kanitschar

    Christoph Pacher

    • AIT Austrian Institute of Technology, Center for Digital Safety and Security, Giefinggasse 4, 1210 Vienna, Austria and fragmentiX Storage Solutions GmbH, Wohllebengasse 10/7, 1040 Vienna, Austria

    Stefano Pirandola

    Valerio Pruneri

    • *Contact author: usenko@optics.upol.cz

    Rev. Mod. Phys. 98, 015003 – Published 23 March, 2026

    DOI: https://doi.org/10.1103/mgj7-t6d3

    Abstract

    Tremendous progress in experimental quantum optics in recent decades has enabled the advent of quantum technologies, one of which is quantum communication. Aimed at novel methods for more secure or more efficient information transfer, quantum communication has developed into an active field of research and proceeds toward full-scale implementations and industrialization. Continuous-variable methods of multiphoton quantum state preparation, manipulation, and coherent detection, as well as the respective theoretical tools of phase-space quantum optics, offer the possibility of making quantum communication efficient, applicable, and accessible, thus boosting the development of the field. The methodology, techniques, and protocols of continuous-variable quantum communication are reviewed, from the first theoretical ideas through milestone implementations and recent developments. The review covers quantum key distribution as well as other quantum communication schemes that are suggested on the basis of continuous-variable states and measurements.

    Physics Subject Headings (PhySH)

    Corrections

    23 April, 2026

    Correction: Typographical errors have been fixed in the following: Eq. (5); the new paragraph following Eq. (5), sentence 2, the expression denoting the squeezed quadrature variance; the paragraph above Eq. (18), sentence 1; Eq. (19); the new paragraph following Eq. (19), last sentence, the Holevo bound expression.

    14 July, 2026

    Second Correction: Typographical errors in Eqs. (34)–(40), (47), and (25)–(30) and related inline math have been fixed, and some minor wording changes have been made.

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