Local Pauli stabilizers of symmetric hypergraph states
| Autor: | Ezekiel W. Wertz, Daniel J. Upchurch, David W. Lyons, Scott N. Walck, Nathaniel P. Gibbons, Mark A. Peters |
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| Rok vydání: | 2016 |
| Předmět: |
Statistics and Probability
Hypergraph General Physics and Astronomy FOS: Physical sciences Quantum entanglement 01 natural sciences symbols.namesake Quantum nonlocality Pauli exclusion principle Simple (abstract algebra) 0103 physical sciences 0101 mathematics Invariant (mathematics) 010306 general physics Quantum Mathematical Physics Mathematics Discrete mathematics Quantum Physics Mathematics::Combinatorics 010102 general mathematics Statistical and Nonlinear Physics Modeling and Simulation symbols Graph (abstract data type) Quantum Physics (quant-ph) MathematicsofComputing_DISCRETEMATHEMATICS |
| DOI: | 10.48550/arxiv.1609.01306 |
| Popis: | 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. Comment: 30 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 |
| Databáze: | OpenAIRE |
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