Noncontextuality in multipartite entanglement

Abstract

Abstract. We discuss several multiport interferometric preparation and measurement configurations and show that they are noncontextual. Generalizations to the n particle case are discussed.

Strong Kochen-Specker theorem and incomputability of quantum randomness

“…(2), readily seen to be satisfied for angles π 3 ≤ θ ≤ In this section we describe a physical realization of the QRNG described in the previous section. Since it is not particularly feasible to directly use spin-1 particles in a QRNG with an acceptably high bit-rate, the realization we present uses photons and is expressed in terms of generalised beam splitters [43][44][45]. Generalised beam splitters are based on the possibility to (de)compose an arbitrary unitary transformation U n in n-dimensional Hilbert space into two-dimensional transformations U 2 of two-dimensional subspaces thereof; a possibility that can be used to parametrize U n [46].…”

Quantum scholasticism: On quantum contexts, counterfactuals, and the absurdities of quantum omniscience

“…This can for instance been demonstrated in an EPR-type setup of two spin one particles in a singlet state 1 ffiffiffi 3 p ðÀj0; 0i þ j À 1; 1i þ j1; À1iÞ and observables corresponding to E and K, or to K and K 0 . Generalized beam splitters are possible realizations [44][45][46]. This adds to the evidence accumulated already by Bell, KS and GHZ, that we are not living in a classical world.…”

Contexts in Quantum, Classical and Partition Logic

“…Similarly, the contexts of an observable are often defined as maximal collections of mutually co-measurable (compatible) observables which are measured or at least could in principle be measured alongside of this observable [1,2,3,4]. Quantum mechanically, this amounts to a formalization of contexts by Boolean subalgebras of Hilbert lattices [5,6], or equivalently, to maximal operators (e.g., Ref. [7,Sec.…”