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Title: Verification of state and entanglement with incomplete tomography
Authors: Teo, Y.S.
Englert, B.-G. 
Řeháček, J.
Hradil, Z.
Mogilevtsev, D.
Issue Date: Oct-2012
Citation: Teo, Y.S., Englert, B.-G., Řeháček, J., Hradil, Z., Mogilevtsev, D. (2012-10). Verification of state and entanglement with incomplete tomography. New Journal of Physics 14 : -. ScholarBank@NUS Repository.
Abstract: There exists, in general, a convex set of quantum state estimators that maximize the likelihood for informationally incomplete data. We propose an estimation scheme, catered to measurement data of this kind, to search for the exact maximum-likelihood-maximum-entropy estimator using semidefinite programming and a standard multi-dimensional function optimization routine. This scheme can be used to infer the expectation values of a set of entanglement witnesses that can be used to verify the entanglement of the unknown quantum state for composite systems. Next, we establish an alternative numerical scheme that is more computationally robust for the sole purpose of maximizing the likelihood and entropy. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
Source Title: New Journal of Physics
ISSN: 13672630
DOI: 10.1088/1367-2630/14/10/105020
Appears in Collections:Staff Publications

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