I will present a dynamic scaling theory aimed at addressing the out-of-equilibrium behavior of many-body systems in proximity of quantum phase transitions of any order. This can be obtained by extending the equilibrium scaling laws ruled either by the critical exponents at continuous transitions, or by the energy gap of the lowest levels at first-order transitions. I will also discuss some...
Multiterminal Josephson junctions (MJJs) constitute engineered topological systems. In [1] we studied the properties of Andreev states in a circuit with a quantum dot (QD) coupled to superconducting leads (SCs) and demonstrated that the quantum geometric tensor can be extracted by synthetically polarized microwaves. In [2] we investigated a linear chain of QDs connected to SCs and showed that...
With the development of quantum technologies, it is pivotal to discern devices exploiting quantum phenomena from faulty ones. This essential task is elusive, since eventual imperfections may go unnoticed to a direct verification. A solution to this deadlock exploits the discrepancies between classical and quantum causal predictions, which can detect nonclassical correlations, with no...
We derive fundamental bounds on the maximal achievable precision in multiparameter noisy quantum metrology, tighter than a direct use of single-parameter results. This allows us to study the effect of incompatibility of optimal probe states for simultaneous estimation of multiple parameters in generic channels, so far studied mostly in noiseless scenarios. We apply our results to several...
