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arXiv · 2312.14399

Quantum multigraph states and multihypergraph states

Xiao-Dong Zhang·Bin-Bin Cai·Song Lin
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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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Xiao-Dong Zhang, Bin-Bin Cai, Song Lin. 2023-12-22. Quantum multigraph states and multihypergraph states. https://arxiv.org/abs/2312.14399

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