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Deutsche Physikalische Gessellschaft IOP Institute of Physics

Practical methods for witnessing genuine multi-qubit entanglement in the vicinity of symmetric states

Géza Tóth1,2,3,7, Witlef Wieczorek4,5, Roland Krischek4,5, Nikolai Kiesel4,5,6, Patrick Michelberger4,5 and Harald Weinfurter4,5

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We present general numerical methods to construct witness operators for entanglement detection and estimation of the fidelity. Our methods are applied to detecting entanglement in the vicinity of a six-qubit Dicke state with three excitations and also to further entangled symmetric states. All our witnesses are designed to keep the measurement effort small. We also present general results on the efficient local decomposition of permutationally invariant operators, which makes it possible to measure projectors to symmetric states efficiently.


 
This article was modified on 20 August 2009 to correct a typing error in reference [45].
PACS

03.67.Lx Quantum computation architectures and implementations

03.65.Ta Foundations of quantum mechanics; measurement theory

03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.)

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 8 (August 2009)

Received 26 March 2009

Published 4 August 2009



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