FRACTAL DIMENSIONS OF STATES

Shao-Ming Fei, Xiu-Hong Gao, Xiaohong Wang +2 more

We consider the separability of rank two quantum states on multiple quantum spaces with different dimensions. The sufficient and necessary conditions for separability of these multiparty quantum states are explicitly presented. A nonseparability inequality is also given for the case where one of the eigenvectors corresponding to nonzero eigenvalues of the density matrix is maximally entangled.

Rainer Dick

Rainer Dick

Jin‐Ming Liu, Yuzhu Wang

In this paper, we present two kinds of schemes for remotely preparing multiparticle d-dimensional equatorial entangled states with unit probability. It is found that the first remote state preparation scheme is realized by a multiparticle projective measurement, while the second scheme is achieved by a single particle orthogonal measurement. Each scheme can be perfectly implemented whatsoever the particle number N and the dimension d are.

Rainer Dick

Banasri Basu, P. Bandyopadhyay

We have studied here the topological aspects of monopole superconductivity in 3+1 dimensions. It is pointed out that Heisenberg spin system may be associated with non-Abelian gauge fields. When the spin and charge become separated, spinons and holons emerge and holons interacting with such a gauge field associate a magnetic flux giving rise to nonzero Berry phase and causes the existence of chiral spin liquid. This also suggests that these holons are much heavier than their free counterpart and the pair of such holons forms a bosonic state respecting rotational invariance. Superconductivity arises out of this pair condensation.