Convexity Properties of the Quantum Rényi Divergences, with Applications to the Quantum Stein's Lemma

Author Milán Mosonyi



PDF
Thumbnail PDF

File

LIPIcs.TQC.2014.88.pdf
  • Filesize: 437 kB
  • 11 pages

Document Identifiers

Author Details

Milán Mosonyi

Cite As Get BibTex

Milán Mosonyi. Convexity Properties of the Quantum Rényi Divergences, with Applications to the Quantum Stein's Lemma. In 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014). Leibniz International Proceedings in Informatics (LIPIcs), Volume 27, pp. 88-98, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2014) https://doi.org/10.4230/LIPIcs.TQC.2014.88

Abstract

We show finite-size bounds on the deviation of the optimal type II error from its asymptotic value in the quantum hypothesis testing problem of Stein's lemma with composite null-hypothesis. 

The proof is based on some simple properties of a new notion of quantum Rènyi divergence, recently introduced in [Müller-Lennert, Dupuis, Szehr, Fehr and Tomamichel, J. Math. Phys. 54, 122203, (2013)], and [Wilde, Winter, Yang, arXiv:1306.1586].

Subject Classification

Keywords
  • Quantum Rényi divergences
  • Stein's lemma
  • composite null-hypothesis
  • second-order asymptotics

Metrics

  • Access Statistics
  • Total Accesses (updated on a weekly basis)
    0
    PDF Downloads
Questions / Remarks / Feedback
X

Feedback for Dagstuhl Publishing


Thanks for your feedback!

Feedback submitted

Could not send message

Please try again later or send an E-mail