It is impossible to discriminate four Bell states through local operations and classical communication (LOCC), if only one copy is provided. To complete this task, two copies will suffice and be necessary. When n copies are provided, we show that the distillable entanglement is exactly n − 2. 03.67.Hk,03.65.Ud Typeset using REVTEX 1 The no-cloning theorem [1] asserts that it is impossible to di...

A formula for the commutator of tensor product matrices is used to shows that, for qubits, compatibility of quantum multiparty observables almost never implies local compatibility at each site and to predict when this happens/does not happen in a concise manner. In particular, it is shown that two “fully nontrivial” n-qubit observables are compatible locally and globally if and only if they are...

It is used to state that no local theory assuming any kind of evolving-in-time physical field (hidden variables) can reproduce the same predictions as standard quantum mechanics. Bell formulated a corresponding theorem in [1]. An advanced variant of the theorem was proposed in [2]. Feynman, in [3], stated another but analogous idea: not any classical computational device (even when probabilisti...

We study finite dimensional vector spaces over fields of elliptic functions equipped with two commuting aotomorphisms \sigma and \tau induced by isogenies relatively prime orders. give a structure theorem for such objects, that reveals connection to the classification bundles on curves Atiyah. As an application we prove analogue conjecture Loxton van der Poorten which has been recently proved A...

We have considered a two-particle Bell experiment to visualize the conflict between rotational invariance of physical laws and specific local realistic theory. The experiment is reproducible by a local realistic theory which is obtained in a twosetting Bell experiment. It turns out that the generalized Bell inequality [J. Phys. A: Math. Theor. 40, 13101 (2007)] which is derived under the assump...

We present a set of Bell inequalities which are sufficient and necessary for separability of general pure multipartite quantum states in arbitrary dimensions. The relations between Bell inequalities and distillability are also studied. We show that any quantum states that violate one of these Bell inequalities are distillable.

We derive entropic Bell inequalities from considering entropy Venn diagrams. These entropic inequalities, akin to the Braunstein-Caves inequalities, are violated for a quantum mechanical EinsteinPodolsky-Rosen pair, which implies that the conditional entropies of Bell variables must be negative in this case. This suggests that the satisfaction of entropic Bell inequalities is equivalent to the ...

The assumptions required for the derivation of Bell inequalities are not usually satisfied for random fields in which there are non-zero thermal or quantum fluctuations, in contrast to the general satisfaction of the assumptions in the classical two point particle case. In the absence of Bell inequalities, random field theories that include quantum fluctuations explicitly may be introduced wher...

We study a scheme for entangling two-level atoms located close to the surface of a dielectric microsphere. The effect is based on medium-assisted spontaneous decay, rigorously taking into account dispersive and absorptive properties of the microsphere. We show that even in the weak-coupling regime, where the Markov approximation applies, entanglement up to 0.35 ebits between two atoms can be cr...