Majorization preservation of Gaussian bosonic channels

Michael G Jabbour, Raúl García-Patrón, Nicolas J Cerf

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

It is shown that phase-insensitive Gaussian bosonic channels are majorization-preserving over the set of passive states of the harmonic oscillator. This means that comparable passive states under majorization are transformed into equally comparable passive states by any phase-insensitive Gaussian bosonic channel. Our proof relies on a new preorder relation called Fock-majorization, which coincides with regular majorization for passive states but also induces another order relation in terms of mean boson number, thereby connecting the concepts of energy and disorder of a quantum state. The consequences of majorization preservation are discussed in the context of the broadcast communication capacity of Gaussian bosonic channels. Because most of our results are independent of the specific nature of the system under investigation, they could be generalized to other quantum systems and Hamiltonians, providing a new tool that may prove useful in quantum information theory and especially quantum thermodynamics.
Original languageEnglish
Article number073047
Number of pages10
Journal New Journal of Physics
Issue number7
Publication statusPublished - 27 Jul 2016

Keywords / Materials (for Non-textual outputs)

  • quantum channels
  • quantum optics
  • gaussian bosonic channels,
  • majorization theory
  • passive states


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