Quantum multigraph states and multihypergraph states

• URL: http://arxiv.org/abs/2312.14399v1
• Date: Fri, 22 Dec 2023 03:01:34 GMT
• Title: Quantum multigraph states and multihypergraph states
• Authors: Xiao-Dong Zhang, Bin-Bin Cai, and Song Lin
• Abstract summary: We propose two classes of multiparticle entangled states, the multigraph states and multihypergraph states. 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.
• Score: 1.3124312213244904
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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