Local Pauli stabilizers of symmetric hypergraph states

Daniel J. Upchurch; David W. Lyons; Ezekiel W. Wertz; Mark A. Peters; Nathaniel P. Gibbons; Scott N. Walck

Local Pauli stabilizers of symmetric hypergraph states

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arxiv 1609.01306 v4 pith:ZHSCLTZQ submitted 2016-09-05 quant-ph

Local Pauli stabilizers of symmetric hypergraph states

David W. Lyons , Nathaniel P. Gibbons , Mark A. Peters , Daniel J. Upchurch , Scott N. Walck , Ezekiel W. Wertz This is my paper

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keywords stateshypergraphlocalnontrivialpaulistabilizersapplicationsbits

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Hypergraph states of many quantum bits share the rich interplay between simple combinatorial description and nontrivial entanglement properties enjoyed by the graph states that they generalize. In this paper, we consider hypergraph states that are also permutationally invariant. We characterize the states in this class that have nontrivial local Pauli stabilizers and give applications to nonlocality and error correction.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Device-Independent Self-Testing of the Three-Qubit CCZ Hypergraph State
quant-ph 2026-07 accept novelty 6.0

The CCZ hypergraph state and its Pauli measurements can be device-independently self-tested from twenty correlators, and also from maximal violation of a specially constructed Bell inequality.