Local Pauli stabilizers of symmetric hypergraph states
arXiv:1609.01306 · doi:10.1088/1751-8121/aa70b4
Abstract
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.
arXiv comment30 pages, 3 figures, 1 table. Version 4 makes minor cosmetic changes and updates some journal information in the references. This is close to the final published version
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- Analysis of quantum error correction with symmetric hypergraph states
- A strong-weak coupling duality between two perturbed quantum many-body systems: CSS codes and Ising-like systems
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- Multipartite entanglement sudden death and birth in randomized hypergraph states
- Symmetry-Accelerated Classical Simulation of Clifford-Dominated Circuits