Clifton, Rob and Pope, Damian (2001) On the Nonlocality of the Quantum Channel in the Standard Teleportation Protocol. [Preprint]

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Abstract
By exhibiting a violation of a novel form of the BellCHSH inequality, \.{Z}ukowski has recently established that the quantum correlations exploited in the standard perfect teleportation protocol cannot be recovered by any local hidden variables model. Allowing the quantum channel state in the protocol to be given by any density operator of two spin1/2 particles, we show that a violation of a generalized form of \.{Z}ukowski's teleportation inequality can only occur if the channel state, considered by itself, violates a BellCHSH inequality. On the other hand, although it is sufficient for a teleportation process to have a nonclassical fidelitydefined as a fidelity exceeding $2/3$that the channel state employed violate a BellCHSH inequality, we show that such a violation does \emph{not} imply a violation of \.{Z}ukowski's teleportation inequality or any of its generalizations. The implication does hold, however, if the fidelity of the teleportation exceeds $2/3(1+1/2\sqrt{2})\approx .90$, suggesting the existence of a regime of nonclassical values of the fidelity, less than $.90$, for which the standard teleportation protocol can be modelled by local hidden variables.
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Item Type:  Preprint  

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Keywords:  quantum teleportation, locality, hiddenvariables, explanation  
Subjects:  General Issues > Causation General Issues > Explanation Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics 

Depositing User:  Rob Clifton  
Date Deposited:  19 Mar 2001  
Last Modified:  07 Oct 2010 15:10  
Item ID:  207  
URI:  http://philsciarchive.pitt.edu/id/eprint/207 
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