In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

The transverse field Ising and XY models (the simplest quantum spin models) provide the
organising principle for the rich variety of interconnected subjects which are covered in this …

Contrary to the conventional wisdom in Hermitian systems, a continuous quantum phase
transition between gapped phases is shown to occur without closing the energy gap Δ in …

The main power of quantum sensors is achieved when the probe is composed of several
particles. In this situation, quantum features such as entanglement contribute in enhancing …

Quantum many-body systems undergoing phase transitions have been proposed as probes
enabling beyond-classical enhancement of sensing precision. However, this enhancement …

Abstract Machine-learning driven models have proven to be powerful tools for the
identification of phases of matter. In particular, unsupervised methods hold the promise to …

The geometric properties of quantum states are fully encoded by the quantum geometric
tensor. The real and imaginary parts of the quantum geometric tensor are the quantum …

The efficient validation of quantum devices is critical for emerging technological
applications. In a wide class of use cases the precise engineering of a Hamiltonian is …

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We present an operational procedure to transform global symmetries into local symmetries
at the level of individual quantum states, as opposed to typical gauging prescriptions for …