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The situation of two independent observers conducting measurements on a joint quantum system is usually modelled using a Hilbert space of tensor product form, each factor associated to one observer.
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Stefan Wolf and Juerg Wullschleger, Bit commitment from weak non-locality , arXiv.org:quant-ph/0508233 (2005)
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http://www.imaph.tu-bs.de/qi/problems/
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Matthias Fitzi, Esther Hanggi, Valerio Scarani, and Stefan Wolf, How non-local are n noisy popescu-rohrlich machines? , arXiv.org:0811.1649 (2008)
2008
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