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 …

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 …

We derive a Margolus-Levitin-type bound on the minimal evolution time of an arbitrarily
driven open quantum system. We express this quantum speed limit time in terms of the …

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 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 …

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 …

We discuss the problem of counting the maximum number of distinct states that an isolated
physical system can pass through in a given period of time—its maximum speed of …

A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define
a unitary quantum system, if one modifies the inner product of the Hilbert space properly. We …

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 Heisenberg-Robertson uncertainty relation expresses a limitation in the possible
preparations of the system by giving a lower bound to the product of the variances of two …