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25 April 2024
 
  » arxiv » 1202.0235

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Experimental implementation of a NMR entanglement witness
J. G. Filgueiras ; T. O. Maciel ; R. E. Auccaise ; R. O. Vianna ; R. S. Sarthour ; I. S. Oliveira ;
Date 1 Feb 2012
AbstractEntanglement witnesses (EW) allow the detection of entanglement in a quantum system, from the measurement of some few observables. They do not require the complete determination of the quantum state, which is regarded as a main advantage. On this paper it is experimentally analyzed an entanglement witness recently proposed in the context of Nuclear Magnetic Resonance (NMR) experiments to test it in some Bell-diagonal states. We also propose some optimal entanglement witness for Bell-diagonal states. The efficiency of the two types of EW’s are compared to a measure of entanglement with tomographic cost, the generalized robustness of entanglement. It is used a GRAPE algorithm to produce an entangled state which is out of the detection region of the EW for Bell-diagonal states. Upon relaxation, the results show that there is a region in which both EW fails, whereas the generalized robustness still shows entanglement, but with the entanglement witness proposed here with a better performance.
Source arXiv, 1202.0235
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