Norms of quantum Gaussian multi-mode channels

Rupert L. Frank, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We compute the Sp→Sp norm of a general Gaussian gauge-covariant multi-mode channel for any 1 ≥ p >∞, where Sp is a Schatten space. As a consequence, we verify the Gaussian optimizer conjecture and the multiplicativity conjecture in these cases.

Original languageEnglish (US)
Article number062204
JournalJournal of Mathematical Physics
Issue number6
StatePublished - Jun 1 2017

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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