Purity- and Gaussianity-bounded uncertainty relations

A. Mandilara, E. Karpov, N. J. Cerf

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4 Citations (Scopus)

Abstract

Bounded uncertainty relations provide the minimum value of the uncertainty assuming some additional information on the state. We derive analytically an uncertainty relation bounded by a pair of constraints, those of purity and Gaussianity. In a limiting case this uncertainty relation reproduces the purity-bounded derived by Man'ko and Dodonov and the Gaussianity-bounded one (Mandilara and Cerf 2012 Phys. Rev. A 86 030102R).

Original languageEnglish
Article number045302
JournalJournal of Physics A: Mathematical and Theoretical
Volume47
Issue number4
DOIs
Publication statusPublished - Jan 31 2014

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Keywords

  • non-Gaussianity
  • uncertainty relation

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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