Part of the point is that in quantum theory, all states are indefinite. Pure states are the most definite, but they are still indefinite.

]]>All of that was just a fancy, highfalutin’ way of saying that classical information (being classical) can be copied!

]]>“For me, it follows from the fact that the set of n-bit strings constitutes an orthogonal basis for Hilbert space.”

This is yet another instance where I know ever single word (and jargons) in a sentence but I don’t know what the sentence actually means. ðŸ˜›

]]>One more thing for the irony – there are allegations that the DRM software has copyright violations in its own code, as it incoporates pieces of Free Software projects whose license does not allow this mode of distribution.

By the way, I should state that I am not in the inner loop myself – the above is from what I read over the net.

]]>My guess: far more often than most people think! The best researcher would be someone with the knowledge, confidence, and intellectual honesty that come from decades of experience, but the brain of an 11-year-old.

PS. Of course, Heisenberg’s principle deals with the *product* of uncertainties of a pair of noncommuting observables, not with the disturbance to any one of them caused by measurement. ðŸ™‚

I wonder how often do kids reinvent things? When I was a child it seemed obvious to me that if you tried to “look at” or measure elementary particles that you would change their position/momentum simply by interacting with them. I remember my disappointment when I found out that Heisenberg had already discovered the Uncertainty Principle! ðŸ™‚

]]>A few years before that, I’d invented a new field called “graph analysis,” which I was sure would revolutionize the world. Given a sequence of numbers, the idea was to find the “rate of change,” “rate of change of the rate of change,” etc. by taking successive differences between entries, like so:

6 4 7 8 1

-2 3 1 -7

5 -2 -8

-7 -6

You could also reverse that operation by taking cumulative sums. It was a big disappointment to learn that Newton and Leibniz had already done this for continuous functions, which is the nontrivial part! ðŸ™‚

Anyway, you’re lucky to have had a good programming instructor as a kid. That class sounds awesome.

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