Topics in matrix analysis
Topical Review: Optimum Probe Parameters for Entangling Probe in Quantum Key Distribution
Quantum Information Processing
Unambiguous State Discrimination in Quantum Key Distribution
Quantum Information Processing
Quantum Information Processing
Majorization and the interconversion of bipartite states
Quantum Information & Computation
Notes on super-operator norms induced by schatten norms
Quantum Information & Computation
Some properties of partial fidelities
Quantum Information & Computation
Sub- and super-fidelity as bounds for quantum fidelity
Quantum Information & Computation
Cryptographic distinguishability measures for quantum-mechanical states
IEEE Transactions on Information Theory
Fano type quantum inequalities in terms of q-entropies
Quantum Information Processing
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A family of quantum measures like the Shannon distinguishability is presented. These measures are defined over the two classes of POVM measurements and related to separate parts in the expression for mutual information. Changes of Ky Fan's norms and the partitioned trace distances under the operation of partial trace are discussed. Upper and lower bounds on the introduced quantities are obtained in terms of partitioned trace distances and Uhlmann's partial fidelities. These inequalities provide a kind of generalization of the well-known bounds on the Shannon distinguishability. The notion of cryptographic exponential indistinguishability for quantum states is revisited. When exponentially fast convergence is required, all the metrics induced by unitarily invariant norms are shown to be equivalent.