The science of quantum information has arisen over the last two decades centered on the
manipulation of individual quanta of information, known as quantum bits or qubits. Quantum …

Quantum sensing has become a broad field. It is generally related with the idea of using
quantum resources to boost the performance of a number of practical tasks, including the …

Abstract Machine learning has become a ubiquitous and effective technique for data
processing and classification. Furthermore, due to the superiority and progress of quantum …

We show that quantum theory allows for transformations of black boxes that cannot be
realized by inserting the input black boxes within a circuit in a predefined causal order. The …

The field of classical stochastic processes forms a major branch of mathematics. Stochastic
processes are, of course, also very well studied in biology, chemistry, ecology, geology …

Currently, there is no systematic way to describe a quantum process with memory solely in
terms of experimentally accessible quantities. However, recent technological advances …

Many fields of science investigate states and processes as resources. Chemistry,
thermodynamics, Shannon's theory of communication channels, and the theory of quantum …

We present a framework to treat quantum networks and all possible transformations thereof,
including as special cases all possible manipulations of quantum states, measurements …

We investigate general probabilistic theories in which every mixed state has a purification,
unique up to reversible channels on the purifying system. We show that the purification …

We introduce the framework of general probabilistic theories (GPTs for short). GPTs are a
class of operational theories that generalize both finite-dimensional classical and quantum …