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Affine Maps of the Polarization Vector for Quantum Systems of Arbitrary Dimension
Affine Maps the Polarization Vector Quantum Systems Arbitrary Dimension
2010/11/4
The operator-sum decomposition (OS) of a mapping from one density matrix to another has many applications in quantum information science. To this mapping there corresponds an affine map which provides...
Detecting genuine multipartite quantum non-locality -- a simple approach and generalization to arbitrary dimension
multipartite Quantum Physics dimension
2010/11/8
The structure of Bell-type inequalities detecting genuine multipartite non-locality, and hence detecting genuine multipartite entanglement, is investigated. We first present a simple and intuitive app...
Integral Menger curvature for sets of arbitrary dimension in $\mathbb{R}^n$. Part I: Uniform Ahlfors regularity
Integral Menger curvature math
2010/11/15
We propose the notion of integral Menger curvature for $m$-dimensional sets in $n$-dimensional Euclidean space and prove that finiteness of this quantity implies Ahlfors regularity with constant depe...
Existence of horizons in Robinson-Trautman spacetimes of arbitrary dimension
arbitrary dimension Robinson-Trautman spacetimes
2010/3/17
We derive the higher dimensional generalization of Penrose-Tod equation describing past horizon in Robinson-Trautman spacetimes with a cosmological constant and pure radiation. Results for D=4 dimensi...