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 …

With the rapid development of quantum technologies, a pressing need has emerged for a
wide array of tools for the certification and characterization of quantum devices. Such tools …

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 …

Graph states,,—multipartite entangled states that can be represented by mathematical
graphs—are important resources for quantum computation, quantum error correction …

Classical shadows enable us to learn many properties of a quantum state ρ with very few
measurements. However, near-term and early fault-tolerant quantum computers will only be …

Quantum states may exhibit asymmetry with respect to the action of a given group. Such an
asymmetry of states can be considered a resource in applications such as quantum …

Entanglement plays a central role in quantum information processing and quantum physics.
However, few effective ways are known to detect the amount of entanglement of an unknown …

In circuit and cavity quantum electrodynamics devices where control qubits are dispersively
coupled to high-quality-factor cavities, characteristic functions of cavity states can be directly …

We present an overview of the quantitative theory of single-copy entanglement in finite-
dimensional quantum systems. In particular we emphasize the point of view that different …