Smooth Csiszár f-divergences can be expressed as integrals over so-called hockey stick
divergences. This motivates a natural quantum generalization in terms of quantum Hockey …

We prove that the entanglement cost equals the regularized entanglement of formation for
any infinite-dimensional quantum state $\rho_ {AB} $ with finite quantum entropy on at least …

We show that Frenkel's integral representation of the quantum relative entropy provides a
natural framework to derive continuity bounds for quantum information measures. Our main …

We give systematic ways of defining monotone quantum relative entropies and (multi-
variate) quantum Rényi divergences starting from a set of monotone quantum relative …

A quantum channel is sufficient with respect to a set of input states if it can be reversed on
this set. In the approximate version, the input states can be recovered within an error …

The quantum data processing inequality states that two quantum states become harder to
distinguish when a noisy channel is applied. On the other hand, a reverse quantum data …

Estimation of quantum relative entropy and its Rényi generalizations is a fundamental
statistical task in quantum information theory, physics, and beyond. While several estimators …

This paper introduces a method for calculating the quantum relative entropy of channels, an
essential quantity in quantum channel discrimination and resource theories of quantum …

This paper introduces a numerical framework for establishing lower bounds on the
conditional von-Neumann entropy in device-independent quantum cryptography and …

Finding the minimal relative entropy of two quantum states under semi definite constraints is
a pivotal problem located at the mathematical core of various applications in quantum …