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
Qudit hypergraph states
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DOI: 10.1103/physreva.95.052340
Abstract: We generalize the class of hypergraph states to multipartite systems of qudits, by means of constructions based on the d-dimensional Pauli group and its normalizer. For simple hypergraphs, the different equivalence classes under local operations… read more here.
Keywords: hypergraph states; qudit hypergraph;
Changing the circuit-depth complexity of measurement-based quantum computation with hypergraph states
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.99.052304
Abstract: While the circuit model of quantum computation defines its logical depth or "computational time" in terms of temporal gate sequences, the measurement-based model could allow totally different temporal ordering and parallelization of logical gates. By… read more here.
Keywords: hypergraph states; measurement based; quantum computation; computation ... See more keywords