The quantum steering ellipsoid of a two-qubit state is the set of Bloch vectors that Bob can
collapse Alice's qubit to, considering all possible measurements on his qubit. We provide an …

We present an overview of the quantitative theory of single-copy entanglement in finite-
dimensional quantum systems. In particular we emphasize the point of view that different …

We review some of the recent progress on the study of entropy of entanglement in many-
body quantum systems. Emphasis is placed on the scaling properties of entropy for one …

Quantum metrology protocols allow us to surpass precision limits typical to classical
statistics. However, in recent years, no-go theorems have been formulated, which state that …

We derive generalizations of the energy–time uncertainty relation for driven quantum
systems. Using a geometric approach based on the Bures length between mixed quantum …

Quantum-mechanical uncertainty relations for position and momentum are expressed in the
form of inequalities involving the Rényi entropies. The proof of these inequalities requires …

Generalisation in machine learning often relies on the ability to encode structures present in
data into an inductive bias of the model class. To understand the power of quantum machine …

This chapter is a survey of the published literature on quantum batteries–ensembles of non-
degenerate quantum systems on which energy can be deposited, and from which work can …

The negative solution to the famous problem of 36 officers of Euler implies that there are no
two orthogonal Latin squares of order six. We show that the problem has a solution …

Despite fundamental interests in learning quantum circuits, the existence of a
computationally efficient algorithm for learning shallow quantum circuits remains an open …