Locally inequivalent four qubit hypergraph states
Quantum Physics
2014-10-07 v1
Abstract
Hypergraph states as real equally weighted pure states are important resources for quantum codes of non-local stabilizer. Using local Pauli equivalence and permutational symmetry, we reduce the 32768 four qubit real equally weighted pure states to 28 locally inequivalent hypergraph states and several graph states. The calculation of geometric entanglement supplemented with entanglement entropy confirms that further reduction is impossible for true hypergraph states.
Cite
@article{arxiv.1409.0928,
title = {Locally inequivalent four qubit hypergraph states},
author = {Xiao-yu Chen and Lei Wang},
journal= {arXiv preprint arXiv:1409.0928},
year = {2014}
}
Comments
6 pages,2 figures, Accepted by J. Phys. A