Quantum hypergraph states
By M. Rossi, Marcus Huber, D. Bruß, C. Macchiavello. 2012
184 citations recorded by the source corpus.
We introduce a class of multiqubit quantum states which generalizes graph states. These states correspond to an underlying mathematical hypergraph, i.e. a graph where edges connecting more than two vertices are considered. We derive a generalized stabilizer formalism to describe this class of states. We introduce the notion of k-uniformity and show that this gives rise to classes of states which are inequivalent under the action of the local Pauli group. Finally we disclose a one-to-one correspondence with states employed in quantum algorithms, such as Deutsch–Jozsa's and Grover's.
Subfields: Artificial Intelligence, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/acd8e0eb8da13acfa9026f42173b3348bbbda525
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In Artificial Intelligence
- Mehul Malik
- Andreas J. Winter
- Zi-Wen Liu
- Giuseppe Vitagliano
- Marcus Huber
- Nicolai Friis
- Joel A. Tropp
- Renato Renner
In Geometry and Topology
Citations in the corpus
- Many-Body Quantum Magic (2020, background): “In this work we consider the family of hypergraph states [35], which are widely relevant in MBQC [36–38], quantum error correction [39, 40], quantum many-body physics [36, 41], etc.”
- Entanglement certification from theory to experiment (2018, background): “[185] M.”