Two Approaches to Obtain the Strong Converse Exponent of Quantum Hypothesis Testing for General Sequences of Quantum States

Milán Mosonyi, Tomohiro Ogawa

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We present two general approaches to obtain the strong converse exponent of simple quantum hypothesis testing for correlated quantum states. One approach requires that the states satisfy a certain factorization property; typical examples of such states are the temperature states of translation-invariant finite-range interactions on a spin chain. The other approach requires the differentiability of a regularized Rényi α-divergence in the parameter α; typical examples of such states include temperature states of non-interacting fermionic lattice systems, and classical irreducible Markov chains. In all cases, we get that the strong converse exponent is equal to the Hoeffding anti-divergence, which in turn is obtained from the regularized Rényi divergences of the two states.

Original languageEnglish
Article number7298426
Pages (from-to)6975-6994
Number of pages20
JournalIEEE Transactions on Information Theory
Volume61
Issue number12
DOIs
Publication statusPublished - Dec 2015

Keywords

  • Hypothesis testing
  • Rényi divergences
  • correlated quantum states

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

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