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 …

Quantum causality extends the conventional notion of the fixed causal structure by allowing
channels and operations to act in an indefinite causal order. The importance of such an …

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 …

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 …

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 supermaps are transformations that map quantum operations to quantum
operations. It is known that quantum supermaps which respect a definite, predefined causal …

Quantum theory is compatible with scenarios in which the order of operations is indefinite.
Experimental investigations of such scenarios, all of which have been based on a process …

In an ordinary quantum algorithm the gates are applied in a fixed order on the systems. The
introduction of indefinite causal structures allows us to relax this constraint and control the …

The precision of quantum metrology is widely believed to be restricted by the Heisenberg
limit, corresponding to a root mean square error that is inversely proportional to the number …