期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 47, 期 33, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8113/47/33/335303
关键词
quantum entanglement; hypergraph states; Bell inequalities
资金
- EU [293993]
- BMBF (Chist-Era Project QUASAR)
- FQXi Fund (Silicon Valley Community Foundation)
- Austrian Science Fund (FWF) [Y535-N16]
- Brazilian Agency CAPES
- DFG
- Austrian Science Fund (FWF) [Y535] Funding Source: Austrian Science Fund (FWF)
Hypergraph states are multiqubit states that form a subset of the locally maximally entangleable states and a generalization of the well-established notion of graph states. Mathematically, they can conveniently be described by a hypergraph that indicates a possible generation procedure of these states; alternatively, they can also be phrased in terms of a nonlocal stabilizer formalism. In this paper, we explore the entanglement properties and non-classical features of hypergraph states. First, we identify the equivalence classes under local unitary transformations for up to four qubits, as well as important classes of five- and six-qubit states, and determine various entanglement properties of these classes. Second, we present general conditions under which the local unitary equivalence of hypergraph states can simply be decided by considering a finite set of transformations with a clear graph-theoretical interpretation. Finally, we consider the question of whether hypergraph states and their correlations can be used to reveal contradictions with classical hidden-variable theories. We demonstrate that various noncontextuality inequalities and Bell inequalities can be derived for hypergraph states.
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