局域不等价的四量子比特超图态
Locally inequivalent four qubit hypergraph states
摘要：
超图态作为实的等权纯态是实现非局域稳定子量子码的重要资源。利用局域泡利等价和置换对称性，我们将32768个四比特实等权纯态约化为28个局域不等价的超图态和几个图态。几何纠缠与纠缠熵的计算证实了超图态的进一步约化是不可能的。
英文摘要：
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.
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