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 language | English |
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Article number | 7298426 |
Pages (from-to) | 6975-6994 |
Journal | IEEE Transactions on Information Theory |
Volume | 61 |
Issue number | 12 |
DOIs | |
Publication status | Published - 1 Dec 2015 |
Keywords
- correlated quantum states
- Hypothesis testing
- Rényi divergences