Machine learning (ML) encompasses a broad range of algorithms and modeling tools used
for a vast array of data processing tasks, which has entered most scientific disciplines in …

“Quantum sensing” describes the use of a quantum system, quantum properties, or quantum
phenomena to perform a measurement of a physical quantity. Historical examples of …

Predicting the properties of complex, large-scale quantum systems is essential for
develo** quantum technologies. We present an efficient method for constructing an …

This first chapter formulates the objectives of compressive sensing. It introduces the
standard compressive problem studied throughout the book and reveals its ubiquity in many …

This article is about a curious phenomenon. Suppose we have a data matrix, which is the
superposition of a low-rank component and a sparse component. Can we recover each …

The experimental realization of increasingly complex synthetic quantum systems calls for the
development of general theoretical methods to validate and fully exploit quantum resources …

Suppose that one observes an incomplete subset of entries selected from a low-rank matrix.
When is it possible to complete the matrix and recover the entries that have not been seen …

During the last ten years, superconducting circuits have passed from being interesting
physical devices to becoming contenders for near-future useful and scalable quantum …

The ability to control multidimensional quantum systems is central to the development of
advanced quantum technologies. We demonstrate a multidimensional integrated quantum …

The usual way to reveal properties of an unknown quantum state, given many copies of a
system in that state, is to perform measurements of different observables and to analyse the …