Smooth entropies and the quantum information spectrum
IEEE Transactions on Information Theory
Min- and max-relative entropies and a new entanglement monotone
IEEE Transactions on Information Theory
Discrimination of two channels by adaptive methods and its application to quantum system
IEEE Transactions on Information Theory
A fully quantum asymptotic equipartition property
IEEE Transactions on Information Theory
The quantum capacity of channels with arbitrarily correlated noise
IEEE Transactions on Information Theory
A strong converse theorem for quantum multiple access channels
General Theory of Information Transfer and Combinatorics
Some mathematical problems related to quantum hypothesis testing
General Theory of Information Transfer and Combinatorics
Adversarial hypothesis testing and a quantum stein's lemma for restricted measurements
Proceedings of the 5th conference on Innovations in theoretical computer science
| Hi-index | 755.14 |
The hypothesis testing problem for two quantum states is treated. We show a new inequality between the errors of the first kind and the second kind, which complements the result of Hiai and Petz (1991) to establish the quantum version of Stein's lemma. The inequality is also used to show a bound on the probability of errors of the first kind when the power exponent for the probability of errors of the second kind exceeds the quantum relative entropy, which yields the strong converse in quantum hypothesis testing. Finally, we discuss the relation between the bound and the power exponent derived by Han and Kobayashi (1989) in classical hypothesis testing