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Device-independent detection of genuine multipartite entanglement for all pure states
Quantum Physics · Submitted 7 Sep 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that genuine multipartite entanglement of all multipartite pure states in arbitrary finite dimension can be detected in a device-independent way by employing bipartite Bell inequalities on states that are deterministically generated from the initial state via local operations.
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The abstract, sentence by sentence
We show that genuine multipartite entanglement of all multipartite pure states in arbitrary finite dimension can be detected in a device-independent way by employing bipartite Bell inequalities on states that are deterministically generated from the initial state via local operations. This leads to an efficient scheme for large classes of multipartite states that are relevant in quantum computation or condensed-matter physics, including cluster states and the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model. For cluster states the detection of genuine multipartite entanglement involves only measurements on a constant number of systems with an overhead that scales linear with the system size, while for the AKLT model the overhead is polynomial. In all cases our approach shows robustness against experimental imperfections.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We show that genuine multipartite entanglement of all multipartite pure states in arbitrary finite dimension can be detected in a device-independent way by employing bipartite Bell inequalities on states that are deterministically generated from the initial state via local operations. | contribution 0.67 | 0.94 | 0.94 | asserted 1.00 |
| s1 | This leads to an efficient scheme for large classes of multipartite states that are relevant in quantum computation or condensed-matter physics, including cluster states and the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model. | interpretation 0.37 | 0.78 | 0.09 | asserted 1.00 |
| s2 | For cluster states the detection of genuine multipartite entanglement involves only measurements on a constant number of systems with an overhead that scales linear with the system size, while for the AKLT model the overhead is polynomial. | result 0.94 | 0.88 | 0.10 | asserted 1.00 |
| s3 | In all cases our approach shows robustness against experimental imperfections. | result 0.98 | 0.89 | 0.07 | asserted 1.00 |
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Original abstract
We show that genuine multipartite entanglement of all multipartite pure states in arbitrary finite dimension can be detected in a device-independent way by employing bipartite Bell inequalities on states that are deterministically generated from the initial state via local operations. This leads to an efficient scheme for large classes of multipartite states that are relevant in quantum computation or condensed-matter physics, including cluster states and the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model. For cluster states the detection of genuine multipartite entanglement involves only measurements on a constant number of systems with an overhead that scales linear with the system size, while for the AKLT model the overhead is polynomial. In all cases our approach shows robustness against experimental imperfections.
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1 arXiv paper cite this in 1 sentence
What it cites · 4 sentences without a confident label
Cites as background 3 papers
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While for the bipartite case many results of fundamental interest have been obtained [ref] , less is known for multipartite case.
Device-independent entanglement certification of all entangled states · Introduction · 0.96
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While for the bipartite case many results of fundamental interest have been obtained [ref] , less is known for multipartite case.
Self-testing of Pauli observables for device-independent entanglement certification · Introduction · 0.96
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It has first been defined for qubits [ref] and later been generalized to higher local dimensions [ref] .
Graph States Under the Action of Local Clifford Group in Non-Binary Case · Introduction · 0.86
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