Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics.
Uncertainty relations in terms of entropies were initially proposed to deal with conceptual …

Uncertainty relations take a crucial and fundamental part in the frame of quantum theory,
and are bringing on many marvelous applications in the emerging field of quantum …

This book provides the reader with the mathematical framework required to fully explore the
potential of small quantum information processing devices. As decoherence will continue to …

The no-free-lunch (NFL) theorem is a celebrated result in learning theory that limits one's
ability to learn a function with a training dataset. With the recent rise of quantum machine …

A natural measure for the amount of quantum information that a physical system E holds
about another system A= A 1,..., A n is given by the min-entropy H min (A| E). In particular …

Measurement outcomes of a quantum state can be genuinely random (unpredictable)
according to the basic laws of quantum mechanics. The Heisenberg-Robertson uncertainty …

Recently a new quantum generalization of the Rényi divergence and the corresponding
conditional Rényi entropies was proposed. Here, we report on a surprising relation between …

Uncertainty relations for Hermitian operators have been confirmed through many
experiments. However, previous experiments have only tested the special case of non …

Entropic uncertainty relations demonstrate the intrinsic uncertainty of nature from an
information-theory perspective. Recently, a quantum-memory-assisted entropic uncertainty …

The connection between uncertainty and entanglement is a prevalent topic in quantum
information processing. Based on a broad class of informationally complete symmetric …