arXiv:0906.3985 [quant-ph]AbstractReferencesReviewsResources
Minimal tomography with entanglement witnesses
Huangjun Zhu, Yong Siah Teo, Berthold-Georg Englert
Published 2009-06-22Version 1
We introduce informationally complete measurements whose outcomes are entanglement witnesses and so answer the question of how many witnesses need to be measured to decide whether an arbitrary state is entangled or not: as many as the dimension of the state space. The optimized witness-based measurement can provide exponential improvement with respect to witness efficiency in high-dimensional Hilbert spaces, at the price of a reduction in the tomographic efficiency. We describe a systematic construction, and illustrate the matter at the example of two qubits.
Comments: 5 pages, 1 figure
Journal: Physical Review A 81 (2010) 052339 (8 pages)
Categories: quant-ph
Keywords: entanglement witnesses, minimal tomography, high-dimensional hilbert spaces, arbitrary state, state space
Tags: journal article
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