It is now experimentally possible to entangle thousands of qubits, and efficiently measure
each qubit in parallel in a distinct basis. To fully characterize an unknown entangled state of …

A recent development in quantum chemistry has established the quantum mutual
information between orbitals as a major descriptor of electronic structure. This has already …

Some of the most spectacular failures of density-functional and Hartree–Fock theories are
related to an incorrect description of the so-called static electron correlation. Motivated by …

Clarifying the relation between the whole and its parts is crucial for many problems in
science. In quantum mechanics, this question manifests itself in the quantum marginal …

The interplay between electron interaction and geometry in a molecular system can lead to
rather paradoxical situations. The prime example is the dissociation limit of the hydrogen …

Given a set of local dynamics, are they compatible with a global dynamics? We
systematically formulate these questions as quantum channel marginal problems. These …

Fermionic natural occupation numbers do not only obey Pauli's exclusion principle but are
even stronger restricted by so-called generalized Pauli constraints. Whenever given natural …

We introduce the $\textit {resource marginal problems} $, which concern the possibility of
having a resource-free target subsystem compatible with a $ given $ collection of marginal …

This thesis seeks to develop a general method for solving so-called quantum realizability
problems, which are questions of the following form: under which conditions does there exist …

The natural occupation numbers of fermionic systems are subject to nontrivial constraints,
which include and extend the original Pauli principle. A recent mathematical breakthrough …