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 …

Quantum coherence and quantum correlations are of fundamental and practical significance
for the development of quantum mechanics. They are also cornerstones of quantum …

Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …

Quantifying coherence is an essential endeavor for both quantum foundations and quantum
technologies. Here, the robustness of coherence is defined and proven to be a full …

Quantum resource theories (QRTs) offer a highly versatile and powerful framework for
studying different phenomena in quantum physics. From quantum entanglement to quantum …

Considerable work has recently been directed toward develo** resource theories of
quantum coherence. In this Letter, we establish a criterion of physical consistency for any …

Quantum coherence is a critical resource for many operational tasks. Understanding how to
quantify and manipulate it also promises to have applications for a diverse set of problems in …

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 …

Quantifying coherence is a key task in both quantum-mechanical theory and practical
applications. Here, a reliable quantum coherence measure is presented by utilizing the …