Locally inequivalent four qubit hypergraph states

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.

6 pages,2 figures, Accepted by J. Phys. A

References in corpus (3)

• Multi-party entanglement in graph states
• Entanglement of multiparty stabilizer, symmetric, and antisymmetric states
• Encoding Hypergraphs into Quantum States

Cited by in corpus (1)

• Local unitary symmetries of hypergraph states