A recent proof of Bell's theorem without inequalities [A. Cabello, Phys. Rev. Lett. 86, 1911 (2001)] is formulated as a Greenberger-Horne-Zeilinger-type proof involving just two observers. On one hand, this new approach allows us to derive an experimentally testable Bell inequality which is violated by quantum mechanics. On the other hand, it leads to a new state-independent proof of the Kochen...

The notions of effective inseparability (for pairs of sets) and of double productivity are defined in [5]. In this paper are considered some extensions of these notions for sequences of sets, and also certain alternative formulations of them in the spirit of Mucnik [3]. Let M be a nonempty recursively enumerable (r.e.) set which will be fixed in each context. By a sequence of sets we mean a seq...

We point out that the central theme in the paper by Wang, Xiong, and Wang @Phys. Rev. B 61, R5090 ~2000!# is the inseparability of electron degrees of freedom and those of electromagnetic field ~EMF!. The dephasing of conduction electrons due to zero-point fluctuation ~ZPF! of EMF is because experiments probe electron degrees of freedom only. The treatment of ZPF of EMF in the above paper is ov...

The purpose of the present note is to introduce some notions useful for applications of the trace formula to the study of the principle of functoriality, including base change, and to the study of zeta-functions of Shimura varieties. In order to avoid disconcerting technical digressions I shall work with reductive groups over fields of characteristic zero, but the second assumption is only a ma...

The issue raised in this Letter is classical, not only in the sense of being nonquantum, but also in the sense of being quite ancient: which subset of 4x4 real matrices should be accepted as physical Mueller matrices in polarization optics? Nonquantum entanglement or inseparability between the polarization and spatial degrees of freedom of an electromagnetic beam whose polarization is not homog...

We generate a pair of entangled beams from the interference of two amplitude squeezed beams. The entanglement is quantified in terms of EPR paradox and inseparability criteria, with both results clearly beating the standard quantum limit. We experimentally analyze the effect of decoherence on each criterion and demonstrate qualitative differences. We also characterize the number of required and...

In this paper, based on the classfication of multiparticle states and the original definition of semiseparability , we give out the redefinition of semiseparability and inseparability of multiparticle states. By virtue of the redefinition, entanglement measure of multiparticle states can be converted into bipartite entanglement measure in arbitrary dimension in mathematical method. A simple exp...

We report the experimental transformation of quadrature entanglement between two optical beams into continuous variable polarization entanglement. We extend the inseparability criterion proposed by Duan et al. [Phys. Rev. Lett. 84, 2722 (2000)]] to polarization states and use it to quantify the entanglement. We propose an elaboration utilizing two quadrature entangled pairs for which all three ...