Permutation Symmetric Hypergraph States and Multipartite Quantum Entanglement
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-019-04259-5
Abstract: We demonstrate that a quantum hypergraph state is k-separable if and only if the hypergraph has k-connected components. The permutation symmetric states remains invariant under any permutation. We introduce permutation symmetric states generated by hypergraphs… read more here.
Keywords: permutation; hypergraph states; entanglement permutation; symmetric hypergraph ... See more keywords
Control Synthesis for Permutation-Symmetric High-Dimensional Systems With Counting Constraints
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Automatic Control"
DOI: 10.1109/tac.2019.2910949
Abstract: General-purpose correct-by-construction synthesis methods are limited to systems with low dimensionality or simple specifications. In this paper, we consider highly symmetrical counting problems and exploit the symmetry to synthesize provably correct controllers for systems with… read more here.
Keywords: counting constraints; control synthesis; synthesis; synthesis permutation ... See more keywords