Equioverlapping measurements, as a natural class of quantum measurements with the
appealing property of equal overlap between any pair of measurement operators …

Overlap between quantum states or observables is a fundamental quantity in quantum
theory. Equioverlapping measurements arise naturally when considering quantum …

We construct a resource theory of $ sharpness $ for finite-dimensional positive operator-
valued measures (POVMs), where the $ sharpness-non-increasing $ operations are given …

An equioverlapping measurement is a rank-one POVM with the same overlap between any
pair of its measurement operators. A symmetric informationally complete POVM (SIC-POVM) …

In the stabilizer formalism of quantum computation, the Gottesman–Knill theorem shows that
universal fault-tolerant quantum computation requires the resource called magic …

We connect magic (non-stabilizer) states, symmetric informationally complete positive
operator valued measures (SIC-POVMs), and mutually unbiased bases (MUBs) in the …

Obtaining information from a quantum system through a measurement typically disturbs its
state. The postmeasurement states for a given measurement, however, are not unique and …

Recently, in the paper (Liu and Luo, Phys. Rev. A 104, 052227, 2021) a very beautiful
measure of the unsharpness (fuzziness) of the observables constructed via uncertainty is …

This book presents new and prospective approaches to quantum computing. It introduces
the many possibilities to further develop the mathematical methods of quantum computation …

While quantum theory has been traditionally developed around the concept of observables
as self-adjoint operators and their spectral decompositions into orthogonal projections [1], it …