New Journal of Physics (Jan 2017)

Super-additivity in communication of classical information through quantum channels from a quantum parameter estimation perspective

  • Jan Czajkowski,
  • Marcin Jarzyna,
  • Rafał Demkowicz-Dobrzański

DOI
https://doi.org/10.1088/1367-2630/aa7a7b
Journal volume & issue
Vol. 19, no. 7
p. 073034

Abstract

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We point out a contrasting role the entanglement plays in communication and estimation scenarios. In the first case it brings noticeable benefits at the measurement stage (output super-additivity), whereas in the latter it is the entanglement of the input probes that enables significant performance enhancement (input super-additivity). We identify a weak estimation regime where a strong connection between concepts crucial to the two fields is demonstrated; the accessible information and the Holevo quantity on one side and the quantum Fisher information related quantities on the other. This allows us to shed new light on the problem of super-additivity in communication using the concepts of quantum estimation theory.

Keywords