Measurements with randomly chosen settings determine many important properties of
quantum states without the need for a shared reference frame or calibration. They naturally …

We report a proof-of-concept demonstration of a quantum order-finding algorithm for
factoring the integer 21. Our demonstration involves the use of a compiled version of the …

As quantum technologies advance, the ability to generate increasingly large quantum states
has experienced rapid development. In this context, the verification and estimation of large …

To achieve scalable quantum information processing, great efforts have been devoted to the
creation of large-scale entangled states in various physical systems. Ultracold atom in …

Einstein-Podolsky-Rosen (EPR) steering, a category of quantum nonlocal correlations
describing the ability of one observer to influence another party's state via local …

Quantum entanglement is usually revealed via a well aligned, carefully chosen set of
measurements. Yet, under a number of experimental conditions, for example in …

Many future quantum technologies rely on the generation of entangled states. Quantum
devices will require verification of their operation below some error threshold, but the …

Many-body quantum systems can be characterized using the notions of k-separability and
entanglement depth. A quantum state is k-separable if it can be expressed as a mixture of k …

Entanglement is one of the most studied properties of quantum mechanics for its application
in quantum information protocols. Nevertheless, detecting the presence of entanglement in …

Creating large-scale entanglement lies at the heart of many quantum information processing
protocols and the investigation of fundamental physics. For multipartite quantum systems, it …