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 …

Interferometers capture a basic mystery of quantum mechanics: a single particle can exhibit
wave behaviour, yet that wave behaviour disappears when one tries to determine the …

An interferometer—no matter how clever the design—cannot reveal both the wave and the
particle behavior of a quantum system. This fundamental idea has been captured by …

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

We revisit entropic formulations of the uncertainty principle (UP) for an arbitrary pair of
positive operator-valued measures (POVM) A and B, acting on finite dimensional Hilbert …

An unavoidable task in quantum information processing is how to obtain data about the state
of an individual system by suitable measurements. Informationally complete measurements …

We formulate some properties of a set of several mutually unbiased measurements. These
properties are used for deriving entropic uncertainty relations. Applications of mutually …

The quantization of gravity remains one of the most important—yet extremely elusive—
challenges at the heart of modern physics. Any attempt to resolve this long-standing problem …

We revisit generalized entropic formulations of the uncertainty principle for an arbitrary pair
of quantum observables in two-dimensional Hilbert space. Rényi entropy is used as an …