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 …

Contextuality is central to both the foundations of quantum theory and to the novel
information processing tasks. Despite some recent proposals, it still faces a fundamental …

Greenberger-Horne-Zeilinger (GHZ) states are characterized by their transformation
properties under a continuous symmetry group, and N-body operators that transform …

We present a number of observables-based proofs of the Kochen-Specker (KS) theorem
based on the N-qubit Pauli group for N≥ 4, thus adding to the proofs that have been …

We investigate the structure of the three-qubit magic Veldkamp line (MVL). This
mathematical notion has recently shown up as a tool for understanding the structures of the …

We study the geometry of the space of Mermin pentagrams, objects that are used to rule out
the existence of noncontextual hidden variable theories as alternatives to quantum theory. It …

Magic sets of observables are minimal structures that capture quantum state-independent
advantage for systems of n≥ 2 qubits and are, therefore, fundamental tools for investigating …

Abstract The Kochen–Specker (KS) theorem shows that noncontextual hidden variable
models of reality that allow random choice are inconsistent with quantum mechanics. Such …

Several types of nonclassical structures within the N-qubit Pauli group that can be seen as
fundamental resources for quantum information processing are presented and discussed …

After introducing the fundamentals of quantum circuits for a general audience, this report
evaluates two means of constructing W-states: the probabilistic naive construction (PNC) …