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 …

Mutually unbiased bases for quantum degrees of freedom are central to all theoretical
investigations and practical exploitations of complementary properties. Much is known about …

Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

Tabletop tests of quantum gravity (QG) have long been thought to be practically impossible.
However, remarkably, because of rapid progress in quantum information science (QIS), such …

We comprehensively review the quantum theory of the polarization properties of light. In
classical optics, these traits are characterized by the Stokes parameters, which can be …

We show that, on a Hilbert space of odd dimension, the only pure states to possess a non-
negative Wigner function are stabilizer states. The Clifford group is identified as the set of …

The original Wigner function provides a way of representing in phase space the quantum
states of systems with continuous degrees of freedom. Wigner functions have also been …

This paper comprises a review of both the quasi-probability representations of infinite-
dimensional quantum theory (including the Wigner function) and the more recently defined …

We propose a unifying approach to the separability problem using covariance matrices of
locally measurable observables. From a practical point of view, our approach leads to strong …

Universal computation of a quantum system consisting of superpositions of well-separated
coherent states of multiple harmonic oscillators can be achieved by three families of …