Related papers: Polarized distances between quantum states and obs…
The paper has been withdrawn.
This paper has been withdrawn by the author due to an error in the proof of Theorem 1.
This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.
This paper is withdrawn.
This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.
The paper is withdrawn by the author because it is superseded by cond-mat/0303357 .
Bipartite Bell inequalities can be simultaneously violated by two different pairs of observers when weak measurements and signaling is employed. Here we experimentally demonstrate the violation of two simultaneous CHSH inequalities by…
We investigate the correlation properties of separable two qubit states with maximally mixed marginals. These states are divided to two sets with the same geometric quantum correlation. However a closer scrutiny of these states reveals a…
The Einstein-Podolsky-Rosen argument on quantum mechanics incompleteness is formulated in terms of elements of reality inferred from joint (as opposed to alternative) measurements, in two examples involving entangled states of three…
This paper has been withdrawn by the authors, due a oversimplified decoherence model. It will be substituted by a new work.
In two companion papers it was shown how to separate out from a scattering function in quantum electrodynamics a distinguished part that meets the correspondence-principle and pole-factorization requirements. The integrals that define the…
We found three qubit Greenberger-Horne-Zeilinger diagonal states which tells us that the partial separability of three qubit states violates the distributive rules with respect to the two operations of convex sum and intersection. The gaps…
This paper has been withdrawn due to a crucial theoretical and experimental error.
We consider the separability of various joint states of D-dimensional quantum systems, which we call "qudits." We derive two main results: (i) the separability condition for a two-qudit state that is a mixture of the maximally mixed state…
This paper has been withdrawn by the author due to some mistakes
For a given real number $\alpha$, let us place the fractional parts of the points $0, \alpha, 2 \alpha,$ $ \cdots, (N-1) \alpha$ on the unit circle. These points partition the unit circle into intervals having at most three lengths, one…
This paper was withdrawn by the author due to an edition's rights
This paper has been withdrawn by the authors due to substantial changes.
We show that positivity of {\it every} partial transpose of $N$-partite quantum states implies new inequalities on Bell correlations which are stronger than standard Bell inequalities by a factor of $2^{(N-1)/2}$. A violation of the…
This paper has been withdrawn by the author due to the incorrect argument for the security.