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 …

Quantum mechanics is compatible with scenarios where the relative order between two
events can be indefinite. Here we show that two independent instances of a noisy process …

The superposition principle lies at the heart of many nonclassical properties of quantum
mechanics. Motivated by this, we introduce a rigorous resource theory framework for the …

To describe certain facets of nonclassicality, it is necessary to quantify properties of
operations instead of states. This is the case if one wants to quantify how well an operation …

Decoherence is all around us. Every quantum system that interacts with the environment is
doomed to decohere. While preserving quantum coherence is a major challenge faced in …

The asymmetry of a quantum state relative to a translational group is a central concept in
many areas of quantum science and technology. An important and geometrically intuitive …

Synchronization in quantum systems has been largely driven by specific examples of
frequency entrainment as well as mutual synchronization. Here we study quantum …

Quantum coherence as an asymmetry relative to a translation group generated by a
Hermitian operator, is a necessary resource for the quantum parameter estimation. On the …

We develop a semidefinite programming method for the optimization of quantum networks,
including both causal networks and networks with indefinite causal structure. Our method …

Landauer's principle asserts that any computation has an unavoidable energy cost that
grows proportionally to its degree of logical irreversibility. But even a logically reversible …