The theory of entanglement provides a fundamentally new language for describing
interactions and correlations in many-body systems. Its vocabulary consists of qubits and …

We review the mathematical speed limits on quantum information processing in many-body
systems. After the proof of the Lieb–Robinson Theorem in 1972, the past two decades have …

We explore the effect of decoherence on many-body mixed states from a purification
perspective. Here, quantum channels map to unitary transformations acting on a purified …

Quantum spin liquids may be considered'quantum disordered'ground states of spin systems,
in which zero-point fluctuations are so strong that they prevent conventional magnetic long …

We consider two related tasks:(a) estimating a parameterisation of a given Gibbs state and
expectation values of Lipschitz observables on this state;(b) learning the expectation values …

The spectral gap—the energy difference between the ground state and first excited state of a
system—is central to quantum many-body physics. Many challenging open problems, such …

Topological states of fermionic matter can be induced by means of a suitably engineered
dissipative dynamics. Dissipation then does not occur as a perturbation, but rather as the …

Several quantum hardware platforms, while being unable to perform fully fault-tolerant
quantum computation, can still be operated as analogue quantum simulators for addressing …

In locally interacting quantum many-body systems, the velocity of information propagation is
finitely bounded, and a linear light cone can be defined. Outside the light cone, the amount …

A big open question in the quantum information theory concerns the feasibility of a self-
correcting quantum memory. A quantum state recorded in such memory can be stored …