Elements of information theory
Elements of information theory
Quantum computation and quantum information
Quantum computation and quantum information
Lower and Upper Bounds for Misclassification Probability Based on Renyi's Information
Journal of VLSI Signal Processing Systems
Quantum Information Processing
Bounds on Shannon distinguishability in terms of partitioned measures
Quantum Information Processing
Equality conditions for the quantum f-relative entropy and generalized data processing inequalities
Quantum Information Processing
Cryptographic distinguishability measures for quantum-mechanical states
IEEE Transactions on Information Theory
Information bounds of the Fano-Kullback type
IEEE Transactions on Information Theory
Refinements of Pinsker's inequality
IEEE Transactions on Information Theory
Generalizing the Fano inequality
IEEE Transactions on Information Theory
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Generalizations of the quantum Fano inequality are considered. The notion of q-entropy exchange is introduced. This quantity is concave in each of its two arguments. For q 驴 0, the inequality of Fano type with q-entropic functionals is established. The notion of coherent information and the perfect reversibility of a quantum operation are discussed in the context of q-entropies. By the monotonicity property, the lower bound of Pinsker type in terms of the trace norm distance is obtained for the Tsallis relative q-entropy of order q = 1/2. For 0 驴 q 驴 2, Fano type quantum inequalities with freely variable parameters are obtained.