Quantum multigraph states and multihypergraph states
Quantum Physics
2023-12-25 v1
Abstract
We proposed two classes of multiparticle entangled states, the multigraph states and multihypergraph states, defined by unique operations on the edges and hyperedges. A key discovery is the one-to-one correspondence between the proposed multihypergraph states and the generalized real equally weighted states when d is prime. While for composite d, multihypergraph states form a subset of the generalized real equally weighted states. Meanwhile, we detailed a method for constructing real equally weighted states from hypergraph states and revealed the generalized real equally weighted states which cannot be generated from d-dimensional hypergraph states.
Cite
@article{arxiv.2312.14399,
title = {Quantum multigraph states and multihypergraph states},
author = {Xiao-Dong Zhang and Bin-Bin Cai and Song Lin},
journal= {arXiv preprint arXiv:2312.14399},
year = {2023}
}