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 journalArticleResearchpeer-review

    7 Citations (Scopus)

    Abstract

    © 2015 IEEE. 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
    JournalIEEE Transactions on Information Theory
    Volume61
    Issue number12
    DOIs
    Publication statusPublished - 1 Dec 2015

    Keywords

    • correlated quantum states
    • Hypothesis testing
    • Rényi divergences

    Fingerprint Dive into the research topics of 'Two Approaches to Obtain the Strong Converse Exponent of Quantum Hypothesis Testing for General Sequences of Quantum States'. Together they form a unique fingerprint.

    Cite this