Quantum random sampling is the leading proposal for demonstrating a computational
advantage of quantum computers over classical computers. Recently the first large-scale …

Over the past few decades, significant progress has been made in quantum information
technology, from theoretical studies to experimental demonstrations. Revolutionary quantum …

Quantum information processing is steadily progressing from a purely academic discipline
towards applications throughout science and industry. Transitioning from lab-based, proof-of …

Taking advantage of quantum mechanics for executing computational tasks faster than
classical computers or performing measurements with precision exceeding the classical …

Integrated optics provides a versatile platform for quantum information processing and
transceiving with photons,,,,,,–. The implementation of quantum protocols requires the …

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

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 …

Quantum computers, though not yet available on the market, will revolutionize the future of
information processing. Quantum computers for special purposes like quantum simulators …

All our former experience with application of quantum theory seems to say that what is
predicted by quantum formalism must occur in the laboratory. But the essence of quantum …

How can one prove that a given quantum state is entangled? In this paper we review
different methods that have been proposed for entanglement detection. We first explain the …