Quantum technologies exploit entanglement to revolutionize computing, measurements, and
communications. This has stimulated the research in different areas of physics to engineer …

Quantum Fisher information matrix (QFIM) is a core concept in theoretical quantum
metrology due to the significant importance of quantum Cramér–Rao bound in quantum …

Controllable, coherent many-body systems can provide insights into the fundamental
properties of quantum matter, enable the realization of new quantum phases and could …

The Heisenberg triangular-lattice quantum spin liquid and its phase transitions to nearby
magnetic orders have received much theoretical attention, but clear experimental …

Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an
unprecedented perspective for solving intricate quantum many-body problems …

Entanglement is an important resource for quantum technologies. There are many ways
quantum systems can be entangled, ranging from the two-qubit case to entanglement in …

Universal quantum computers are potentially an ideal setting for simulating many-body
quantum dynamics that is out of reach for classical digital computers. We use state-of-the-art …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

Characterizing out-of-equilibrium many-body dynamics is a complex but crucial task for
quantum applications and understanding fundamental phenomena. A central question is the …

In these lecture notes, partly based on a course taught at the Karpacz Winter School in
March 2014, we explore the close connections between non-adiabatic response of a system …