Quantum Computer Number System?

Question

I would imagine a quantum computer would be able to support
(if not fundamentally based on) the a complex number base as
opposed to the binary system.

My Question is how would you represent a number in a complex number system?

(I would imagine that you would make use of DeMovire's Formula)
Could someone provide an example by showing a decimal
number represented in base 3+2i (where i is the square root of negative one)
I would also have trouble using digits with an immaginary number system.
I would guess that if you had a base 2i the digits would be 0 and i.

Anyway the main question is this:

My Question is how would you represent a number using
a system based on the powers of a complex number?

Update:
example:

100(base 2i) = -4
I think this is correct.

-4 in the decimal system.

Answer 1

Ok - your question is a little above my head as far as the math/number theory goes, but I do know about the concepts of quantum computing. Basically, instead of bit being assigned a '0' or a '1', it exists in a superposition of being a 1 and a 0 at the same time. It is believed that this flexibility of the bits will both increase computing speed and decrease the amount of space necessary for memory. As for your question, if I were you, I would be hoping that Roger Penrose, or someone of his intellectual stature reads your question if you want a legitimate answer. Good luck!

Answer 2

I have just got to monitor the answers you get on this one!

Keep smiling