Son, Wonmin and Andersson, Erika and Barnett, Stephen M. and Kim, M.S. (2005) Joint measurements and Bell inequalities. Physical Review A, 72 (5). 052116/1052116/7. ISSN 10502947

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Abstract
Joint quantum measurements of noncommuting observables are possible, if one accepts an increase in the measured variances. A necessary condition for a joint measurement to be possible is that a joint probability distribution exists for the measurement. This fact suggests that there may be a link with Bell inequalities, as these will be satisfied if and only if a joint probability distribution for all involved observables exists. We investigate the connections between Bell inequalities and conditions for joint quantum measurements to be possible. Mermin's inequality for the threeparticle GreenbergerHorneZeilinger state turns out to be equivalent to the condition for a joint measurement on two out of the three quantum systems to exist. Gisin's Bell inequality for three coplanar measurement directions, meanwhile, is shown to be less strict than the condition for the corresponding joint measurement.
Item type:  Article 

ID code:  6194 
Keywords:  Bell inequalities, quantum measurement, Mermin, coplanar measurement, quantum physics, Optics. Light, Atomic and Molecular Physics, and Optics 
Subjects:  Science > Physics > Optics. Light 
Department:  Faculty of Science > Physics 
Depositing user:  Miss Darcy Spiller 
Date Deposited:  02 Jun 2008 
Last modified:  15 Apr 2015 08:38 
Related URLs:  
URI:  http://strathprints.strath.ac.uk/id/eprint/6194 
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