It is shown that the 33 complex rays in three dimensions used by Penrose to prove the Bell-Kochen-Specker theorem have the same orthogonality relations as the 33 real rays of Peres, and therefore provide an isomorphic proof of the theorem. It is further shown that the Peres and Penrose rays are just two members of a continuous three-parameter family of unitarily inequivalent rays that prove the...

According to Bell’s theorem, local realism is incompatible with quantum theory. However, it depends on an implied assumption about quantum measurement. We suggest that the assumption might be removed by a complete quantum analysis of the interaction between the measured system and measuring apparatus of a Bell experiment using Born’s statistical interpretation. But it is conceivable that analys...

A parametric down conversion source pumped by a monochromatic laser will produce frequency entangled photon pairs. We demonstrate this by an experiment in which five-dimensional frequency entanglement is manipulated at telecommunication wavelengths using commercially available components such as electro-optic phase modulators and narrowband frequency filters. A theoretical intuition for this ap...

A classical local particle hidden-variable model for quantum theory is taken here not to be possible because of the experimental violation of Bell inequalities, whereas a classical local continuum hidden-variable model for quantum field theory is not ruled out. Although Bell considered classical continuum models implausible, this paper argues that they are plausible, and then pursues the conseq...

The necessary and sufficient amount of entanglement required for cloning of orthogonal Bell states by local operation and classical communication is derived, and using this result, we provide here some new examples of reversible, as well as irreversible states.

In this letter we analyze the efficacy of the entangled output of Pati-Braunstein deletion machine [3] as a teleportation channel. We analyze the possibility of it violating the Bell’s inequality. Interestingly we find that for all values of α the state does not violate the Bell’s inequality but when used as a teleportation channel can give a fidelity higher than the classical optimum (i.e 2 3 ).

We construct the two-flux colliding plane wave solutions in higher dimensional gravity theory with dilaton, and two complementary fluxes. Two kinds of solutions has been obtained: Bell-Szekeres(BS) type and homogeneous type. After imposing the junction condition, we find that only Bell-Szekeres type solution is physically well-defined. Furthermore, we show that the future curvature singularity ...

A well-known result of Posner’s second theorem states that if the commutator each element in a prime ring and its image under nonzero derivation are central, then is commutative. In present paper, we extended this bluestocking to an arbitrary with involution involving ideals. Further, apart from proving several other interesting exciting results, established ∗-version Vukman’s theorem. Precisel...