A Boolean Functions Theoretic Approach to Quantum Hypergraph States and Entanglement

11/01/2018

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by   Supriyo Dutta, et al.

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We establish an one-to-one correspondence between the Boolean functions and hypergraph states, that are entangled multipartite pure quantum states corresponding to hypergraphs. We demonstrate several classes of hypergraphs and their corresponding Boolean functions, such that, every cut of equal length on the corresponding hypergraph states has equal amount of entanglement. Entanglement is numerically measured for a number of quantum hypergraph states.