Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Volume 51, Issue 4, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1751-8121/aa99c9
Keywords
quantum computation; entanglement; hypergraph states; multipartite entanglement; entanglement witnesses
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Funding
- BMBF
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We study the entanglement properties of quantum hypergraph states of n qubits, focusing on multipartite entanglement. We compute multipartite entanglement for hypergraph states with a single hyperedge of maximum cardinality, for hypergraph states endowed with all possible hyperedges of cardinality equal to n-1 and for those hypergraph states with all possible hyperedges of cardinality greater than or equal to n-1. We then find a lower bound to the multipartite entanglement of a generic quantum hypergraph state. We finally apply the multipartite entanglement results to the construction of entanglement witness operators, able to detect genuine multipartite entanglement in the neighbourhood of a given hypergraph state. We first build entanglement witnesses of the projective type, then propose a class of witnesses based on the stabilizer formalism, hence called stabilizer witnesses, able to reduce the experimental effort from an exponential to a linear growth in the number of local measurement settings with the number of qubits.
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