True Random Numbers: What's the Difference?

AI Thread Summary
The discussion centers around the distinction between true random numbers and pseudo-random numbers, particularly in the context of quantum mechanics and hidden variables. It highlights that the generation of random numbers is not the primary focus of quantum computing, as true randomness can also be observed through processes like nuclear decay. The conversation references Bell's theorem, which asserts that no local hidden variable theory can replicate all predictions of quantum mechanics, suggesting a fundamental limit to local realism. The concept of non-local hidden variables is introduced, which challenges classical notions of causality, particularly in the context of entangled particles. The discussion also touches on Mach's principle and its implications for understanding non-locality. Additionally, a theoretical method for generating true random numbers using quantum mechanics is proposed, illustrating the potential for quantum random number generation. Overall, the thread emphasizes the complexities of randomness in quantum theory and the ongoing debates surrounding hidden variables.
epkid08
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as opposed to pseudo-random numbers?
 
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epkid08 said:
as opposed to pseudo-random numbers?

it depends on whether there are hidden variables or not. We still don't know. (Although this post may start yet another debate over whether there are hidden variables and whether most scientists think there are, or not).

Also, the generation of random or pseudo-random numbers is not the claim to fame for quantum computers. The same thing can be done by simply watching nuclear decay.
 


fleem said:
it depends on whether there are hidden variables or not. We still don't know. (Although this post may start yet another debate over whether there are hidden variables and whether most scientists think there are, or not).

Well, the question was "according to theory," not "according to fact"...and according to Bell's theorem,

No physical theory of local hidden variables can ever reproduce all of the predictions of quantum mechanics.

I'm not saying theory is correct, but this is the answer according to theory..
 


junglebeast said:
Well, the question was "according to theory," not "according to fact"...and according to Bell's theorem,

No physical theory of local hidden variables can ever reproduce all of the predictions of quantum mechanics.

I'm not saying theory is correct, but this is the answer according to theory..

Well I do take exception to that statement of Bell's, but also there is the possibility of non-local hidden variables, which is not addressed by it (and I happen to be a non-local hidden variable-ist at heart, fwiw).

EDIT: But i should also point out that i disagree with Bohm, as well. I'm just a difficult guy to please.
 
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fleem said:
Well I do take exception to that statement of Bell's, but also there is the possibility of non-local hidden variables, which is not addressed by it (and I happen to be a non-local hidden variable-ist at heart, fwiw).

EDIT: But i should also point out that i disagree with Bohm, as well. I'm just a difficult guy to please.

Can you elaborate on the difference between local and non-local, and why you believe in non-local? I'm also a difficult guy to please :-p
 


junglebeast said:
Can you elaborate on the difference between local and non-local, and why you believe in non-local? I'm also a difficult guy to please :-p

Non-local in this context means disobeying our (rather classical) concept of causality.

Note that we never raise an eyebrow at a local process that, if separated by some distance, we would call spooky (disobeying causality). Two local particles are welcome to interact in a variety of ways as long as they obey certain laws after they are done interacting. Our current understanding, however, places certain restrictions on how those particles should behave together if there is a distance between them. So the concept of distance and finite light speed is paramount in the definition of causality. Entangled particles are spooky simply because they behave as if they are local yet they are apparently not.

The two most obvious examples of non-locality are entanglement and Mach's principle. "Entanglement" and "non-local" appear all over the place in literature, but "Mach's principle" and "non-local" don't show up much together. Mach's principle is ignored because its an old unanswered question we've come to mostly ignore, not because it isn't profoundly important. It is our decision to ignore Mach's principle that is preventing us from understanding some things.

There must be something that mediates Mach's principle and mediates the communication between entangled particles. Or our concept of distance and time need to be reviewed (and that's what I think needs to be done, and i have some ideas on that). In either case, the interactions that mediate those things might very well be the non-local hidden variables that force QM to be a statistical theory.
 


Random number generation has nothing to do with quantum computers. We could create true quantum random number generators easy enough (easy in theory, getting it all to work well enough and stable enough would be an engineering feat, assuming it's even possible). For an explicit example (although, this is almost certainly not the most convient way to implement this in the real world) say you want to generate a truly random x bit number: Pass a stream of electrons through a z-oriented stern-gerlach box (which I will just call SGz), take the Sz+ stream and for each electron pass it through an SGx machine, if it comes out Sx+ call that bit a 1, if it comes out Sx-, call that bit a 0. Tada. You've generated a truly random number (there is an exactly, truly random, 50-50 change that the Sz+ electron will come out of the SGx as + or -).
 
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