Quantum Physics

   

How the Quantum no-Communication Theorem Misuses the Formalism and Loses Phase Information

Authors: Remi Cornwall

This paper follows on from the author’s previous thoughts on the subject of the “No-communication Theorem” and Ghirardi’s critique of a communication scheme by the author and then his response to this. It is an addendum to lay bare the inadequate use of the formalism by Ghirardi, Hall et-al. To make our argument convincing, we find it necessary to explicitly lay out the machinery of the density matrix formulated argument, so that it can be seen by the incredulous, the gapping hole in the Ghirardi-Hall belief. We shall see that phase information, crucial to the interferometer setup in previous papers, is lost when: the joint evolution of the system is not considered, superposition is not explicitly brought in as an operation itself and finally, when the act of taking the reduced trace is taken too early (the act of exclusion of one system). This has lead to the limiting belief that components of entangled systems considered in isolation, are only ever in a mixed state. We shall see that when the reduced trace is taken at the right point in the analysis, phase information pertaining to the remote system is still present and this concurs with the state vector approach used to analyse the same problem.

Comments: 6 Pages. Part 2 of the answer to the critique of Ghirardi.

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Submission history

[v1] 2015-03-29 16:28:19

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