Recent years have witnessed an explosion of interest in quantum devices for the production,
storage, and transfer of energy. This Colloquium concentrates on the field of quantum …

One of the most widely known building blocks of modern physics is Heisenberg's
indeterminacy principle. Among the different statements of this fundamental property of the …

The evaluation of the minimal evolution time between two distinguishable states of a system
is important for assessing the maximal speed of quantum computers and communication …

The seminal work by Sadi Carnot in the early nineteenth century provided the blueprint of a
reversible heat engine and the celebrated second law of thermodynamics eventually …

Bounds to the speed of evolution of a quantum system are of fundamental interest in
quantum metrology, quantum chemical dynamics, and quantum computation. We derive a …

The attempt to gain a theoretical understanding of the concept of time in quantum mechanics
has triggered significant progress towards the search for faster and more efficient quantum …

The resource theory of asymmetry is a framework for classifying and quantifying the
symmetry-breaking properties of both states and operations relative to a given symmetry. In …

The advent of quantum devices, which exploit the two essential elements of quantum
physics, coherence and entanglement, has sparked renewed interest in the control of open …

Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts
of heat, work and entropy production for individual stochastic trajectories of mesoscopic …

Quantum speed limits set the maximal pace of state evolution. Two well-known limits exist
for a unitary time-independent Hamiltonian: the Mandelstam-Tamm and Margolus-Levitin …