The enigmatic envelopment of the Matrix… a bit disorienting at first, like the silver fluid flowing over Neo’s hand.
And slowly realizing there are actually 10 types of people…
Those who think in binary and those who don’t.
Interesting idea. I imagine a party where each room projects a different (or a few different) images, so that the guests are all dressed similarly. Could undo the designer clothing industry!
> there are actually 10 types of people…
> Those who think in binary and those who don’t.
I’m recursively ambivalent about that predicate… 
Binary numbers are magic as they made a lot of things work.
Sometimes when the number is expressed in binary format,
it loses its Synesthesia-friendliness. A lot of people can remember
Pi to a long trailer of digits after the decimal point. A Japanese
university used its supercomputer to calculate Pi with some
patterns like 0123456789, etc. When it is expressed in binary,
it is not as colorful as in decimal.
"A qubit has some similarities to a classical bit, but is overall very different. Like a bit, a qubit can have two possible values—normally a 0 or a 1. The difference is that whereas a bit must be either 0 or 1, a qubit can be 0, 1, or a superposition of both."
Cool, what would a quantum dress look like?
Both on and off at the same time… I got a photo of that at TED
This one made by a paper cutter no less.
@ChuCiLiSao: Daniel Tammet would agree with you!
Qubits are schizophrenic.
Fuzzy logic bits are just undecided, unsure.
Which one would you prefer to be ?
Also,
Normal qubits boringly collapse into one of two possible, discrete states.
To make things more interesting, we need qubits that can collapse into fuzzy logic bits whose values belong in a continuum.
[http://www.flickr.com/photos/solerena/] > next step would be replacing continuum with infinity 😀
The notion of powerset appears at two distinct places in qubits:
1) if you have a single qubit, somewhat counterintuitively, one might argue that that single qubit is the powerset of one bit.
2) if you have N qubits, the configuration space of that N-bit QC has a cardinality that is obviously the powerset of N.
Expanding upon this:
A hypothetical fuzzy qubit (fubit ?) that is a superposition of fuzzy bits with continuous values would be a powerset of the continuum, that is, such a fubit by itself would have a Beth-two cardinality.
The cardinality of a hypothetical QC with N continuous fubits, OTOH, is a bit more difficult to grasp.
However, given that the number of fubits in that QC is a finite integer number N, it is likely that the cardinality of that QC’s configuration space would still be equal to the cardinality of a single fubit’s. This is a bit counterintuitive, but mathematically consistent, given that an operational definition of an infinite set is that it contains a proper subset that is equinumerous with the enclosing, original set.
or 
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