The coherent superposition of states, in combination with the quantization of observables,
represents one of the most fundamental features that mark the departure of quantum …

We review concepts and methods associated with quantum discord and related topics. We
also describe their possible connections with other aspects of quantum information and …

Shor's factoring algorithm provides a superpolynomial speedup over all known classical
factoring algorithms. Here, we address the question of which quantum properties fuel this …

Wave-particle duality is one of the basic features of quantum mechanics, giving rise to the
use of complex numbers in describing states of quantum systems and their dynamics and …

We investigate the role of quantum coherence depletion (QCD) in the Grover search
algorithm (GA) by using several typical measures of quantum coherence and quantum …

Kirkwood-Dirac (KD) quasiprobability is a quantum analog of phase space probability of
classical statistical mechanics, allowing negative or/and nonreal values. It gives an …

We establish a general operational one-to-one mapping between coherence measures and
entanglement measures: Any entanglement measure of bipartite pure states is the minimum …

The superposition principle lies at the heart of many nonclassical properties of quantum
mechanics. Motivated by this, we introduce a rigorous resource theory framework for the …

The resource theory of quantum coherence studies the off-diagonal elements of a density
matrix in a distinguished basis, whereas the resource theory of purity studies all deviations …

To describe certain facets of nonclassicality, it is necessary to quantify properties of
operations instead of states. This is the case if one wants to quantify how well an operation …