Uncertainty relations have become the trademark of quantum theory since they were
formulated by Bohr and Heisenberg. This review covers various generalizations and …

We show that entanglement entropy of free fermions scales faster than area law, as opposed
to the scaling L d-1 for the harmonic lattice, for example. We also suggest and provide …

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 …

Identical particles and entanglement are both fundamental components of quantum
mechanics. However, when identical particles are condensed in a single spatial mode, the …

The anticommuting properties of fermionic operators, together with the presence of parity
conservation, affect the concept of entanglement in a composite fermionic system. Hence …

Shannon entropy (S), Rényi entropy (R), Tsallis entropy (T), Fisher information (I), and
Onicescu energy (E) have been explored extensively in both free H atom (FHA) and …

We introduce a class of bipartite entanglement measures based on Rényi-α entropy, namely
Rényi-α entanglement with an analytic formula in two-qubit systems for α⩾ 1. We also show …

We describe an efficient theoretical criterion, suitable for indistinguishable particles to
quantify the quantum correlations of any pure two-fermion state, based on the Slater rank …

The stability of a two-electron Zee system trapped inside an impenetrable spherical cavity is
analyzed using an explicitly correlated multi-exponent Hylleraas-type basis set in the …

We present a general approach to quantum entanglement and entropy that is based on
algebras of observables and states thereon. In contrast to more standard treatments, Hilbert …