A central result in the foundations of quantum mechanics is the Kochen-Specker theorem. In
short, it states that quantum mechanics is in conflict with classical models in which the result …

There are several mathematical formulations of quantum mechanics. The Schrödinger
picture expresses quantum states in terms of wavefunctions over, eg position or momentum …

Gaussian states have played an important role in the physics of continuous-variable
quantum systems. They are appealing for the experimental ease with which they can be …

Operator noncommutation, a hallmark of quantum theory, limits measurement precision,
according to uncertainty principles. Wielded correctly, though, noncommutation can boost …

Quantum theory is traditionally formulated using complex numbers. This imaginarity of
quantum theory has been quantified as a resource with applications in discrimination tasks …

Kirkwood-Dirac (KD) quasiprobability is a quantum analog of phase space probability of
classical statistical mechanics, allowing negative or/and nonreal values. It gives an …

Abstract Weak values and Kirkwood–Dirac (KD) quasiprobability distributions have been
independently associated with both foundational issues in quantum theory and advantages …

A bstract In this paper, we introduce a new quantity called SVD entanglement entropy. This
is a generalization of entanglement entropy in that it depends on two different states, as in …

Kirkwood-Dirac representations of quantum states are increasingly finding use in many
areas within quantum theory. Usually, representations of this sort are only applied to provide …

For quantum systems with a finite dimensional Hilbert space of states, we show that the
complete incompatibility of two observables—a notion we introduce—is equivalent to the …