Archive for May, 2007

The Gödel Hurdle

Posted in Uncategorized with tags , , on May 24, 2007 by quantummoxie

The latest issue of The Quantum Times was just e-mailed around and should appear on the website soon. In it I give a summary of the APS March Meeting from Denver. One thing that I’ve been thinking about (in relation to this) lately is the fact that so many folks are attempting to axiomatize physics (which I wholeheartedly support). However, it gets me wondering what this all means in relation to Gödel’s Incompleteness Theorems (yes, there were two). I have a hunch that Rob Spekkens’ view that quantum states are states of incomplete knowledge will rectify this problem. In fact I have an idea brewing in my head concerning probability theories and meta-descriptions of the type discussed by Douglas Hofstadter nearly thirty years ago in his Pulitzer Prize-winning book Gödel, Escher, Bach: An Eternal Golden Braid. Stay tuned as I put together something for the arXiv on it.

Fourier Analysis in Quantum Computing

Posted in Uncategorized with tags , , , , on May 13, 2007 by quantummoxie

Well, final exams have kept me from posting much lately, but I just found this via a link on Quantiki. Great article, but it brings up an odd question: is it cryptography, cryptology, or both?