期刊
NEW JOURNAL OF PHYSICS
卷 15, 期 -, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1367-2630/15/11/113022
关键词
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资金
- FP7-MarieCurie grant 'Quacocos'
- DFG
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.
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