Classical Internet evolved exceptionally during the last five decades, from a network
comprising a few static nodes in the early days to a leviathan interconnecting billions of …

In the past decade, the toolkit of quantum information has been expanded to include
processes in which the basic operations do not have definite causal relations. Originally …

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 …

Quantum mechanics allows events to happen with no definite causal order: this can be
verified by measuring a causal witness, in the same way that an entanglement witness …

In the standard quantum theory, the causal order of occurrence between events is
prescribed, and must be definite. This has been maintained in all conventional scenarios of …

In quantum communication networks, wires represent well-defined trajectories along which
quantum systems are transmitted. In spite of this, trajectories can be used as a quantum …

We address the study of quantum metrology enhanced by indefinite causal order,
demonstrating a quadratic advantage in the estimation of the product of two average …

Quantum mechanics is compatible with scenarios where the relative order between two
events can be indefinite. Here we show that two independent instances of a noisy process …

Quantum networks will enable the implementation of communication tasks with qualitative
advantages with respect to the communication networks known today. While it is expected …

Shannon's theory of information was built on the assumption that the information carriers
were classical systems. Its quantum counterpart, quantum Shannon theory, explores the …