Continuous-variable dense coding via a general Gaussian state: Monogamy relation

Jaehak Lee, Se Wan Ji, Jiyong Park, Hyunchul Nha

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Abstract

We study a continuous-variable dense coding protocol, originally proposed to employ a two-mode squeezed state, using a general two-mode Gaussian state as a quantum channel. We particularly obtain conditions to manifest quantum advantage by beating two well-known single-mode schemes, namely, the squeezed-state scheme (best Gaussian scheme) and the number-state scheme (optimal scheme achieving the Holevo bound). We then extend our study to a multipartite Gaussian state and investigate the monogamy of operational entanglement measured by the communication capacity under the dense coding protocol. We show that this operational entanglement represents a strict monogamy relation, by means of Heisenberg's uncertainty principle among different parties; i.e., the quantum advantage for communication can be possible for only one pair of two-mode systems among many parties.

Original languageEnglish
Article number022301
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume90
Issue number2
DOIs
Publication statusPublished - 1 Aug 2014

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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