Re: explanation for teleportation/entanglement?

From: Tim Gwinn <***>

Date: Sun, 29 Feb 2004 11:56:17 -0500

I'd like to recommend a paper by Christopher Fuchs of Bell Labs, entitled "Quantum Mechanics as Quantum Information (and only a little more)", on arXiv. This is a bit tangential to the original thread, but goes to the deeper questions of the nature of QM theory. It also is somewhat humorous (which is a good thing for a 59-page paper on QM!) as the abstract indicates:

In this paper, I try once again to cause some good-natured trouble. The issue remains, when will we ever stop burdening the taxpayer with conferences devoted to the quantum foundations? The suspicion is expressed that no end will be in sight until a means is found to reduce quantum theory to two or three statements of crisp physical (rather than abstract, axiomatic) significance. In this regard, no tool appears better calibrated for a direct assault than quantum information theory. Far from a strained application of the latest fad to a time-honored problem, this method holds promise precisely because a large part--but not all--of the structure of quantum theory has always concerned information. It is just that the physics community needs reminding.
This paper, though taking quant-ph/0106166 as its core, corrects one mistake and offers several observations beyond the previous version. In particular, I identify one element of quantum mechanics that I would not label a subjective term in the theory--it is the integer parameter D traditionally ascribed to a quantum system via its Hilbert-space dimension.

Even if one only reads the first several pages, comparing the relationship between Einstein's insights and the Lorentz transformations, and the need for corresponding insights in QM, I think the paper will be useful. It also strikes me as the kind of thinking that Rosen engaged in about examining subjective preferences and limits of formalisms, by Fuch's essentially asking things like: "why Hilbert space?". (He also probes qualities of Hilbert space in some other of his papers.)

Regards,

Tim