If only limited control over a multiparticle quantum system is available, a viable method to characterize correlations is to perform random measurements and consider the moments of the resulting probability distribution. We present systematic methods to analyze the different forms of entanglement with these moments in an optimized manner. First, we find the optimal criteria for different forms...
Demonstrating the ability to manipulate quantum-entangled states in scalable multipartite systems represents an important challenge for quantum simulators and computers. Beyond a few tens of qubits, one cannot rely on tomographically-complete information about the prepared quantum state, for at least two reasons: 1) implementing the required measurements might not be currently possible; 2) the...
The notion of entanglement of quantum states is usually defined with respect to a fixed bipartition. Indeed, a global basis change can always map an entangled state to a separable one. The situation is however different when considering a set of states. This talk presents the notion of "absolutely entangled set" of quantum states: sets such that for any possible choice of global basis, at...
Einstein-Podolsky-Rosen (EPR) steering is typically revealed from the possibility of predicting the results of non-commuting measurements with a precision that seems to violate the uncertainty principle. Quantum information recognises steering as an essential resource for a number of tasks but, contrary to entanglement, its role for metrology has so far remained unclear. In this talk I will...
