Discrete frequency modes, or bins, present a blend of opportunities and challenges for
photonic quantum information processing. Frequency-bin-encoded photons are readily …

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

This survey describes probabilistic algorithms for linear algebraic computations, such as
factorizing matrices and solving linear systems. It focuses on techniques that have a proven …

Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

Entanglement is an important resource for quantum technologies. There are many ways
quantum systems can be entangled, ranging from the two-qubit case to entanglement in …

Some measurements in quantum mechanics disturb each other. This has puzzled physicists
since the formulation of the theory, but only in recent decades has the incompatibility of …

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

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

Quantum measurements play a fundamental role in quantum mechanics. Especially,
generalized quantum measurements provide a powerful and versatile tool to extract …

The precise control of complex quantum systems promises numerous technological
applications including digital quantum computing. The complexity of such devices renders …