Dimension and Quantum Computers

[Tigerfadder]

Hey! I found this great parallel between computers and dimension. The classical computer have bits which have the value of 1 or 0. Its binary and have essentially two dimensions. With this 2 dimensions we can do all sort of great stuff and complex systems but at some point it takes to much computer-power to calculate complex problems.

The Quantum computer have values of 1 or 0 but also both. If classical is the spectrum of north pole (0) and south pole (1) than quantum computer is a vector that can point to all directions between. So this one have a 3 dimension space. These are called cubits instead of bits. So this new computer deal with 3 dimensions.

Will there ever be a 4 dimension computer?

[WinnieW]

I don't see superposition being an additional dimension.
Quantum computers simply outputs all possible results at once, in contrast to one result at one time as classical computers do.
Digital computers operate on discrete numbers, as quantum computers do either. There are no vectors.
The results of a qubit can be projected as vectors, but they are no real vectors.
Complex numbers can be represenated by a vector – but is the imaginary axis an additional dimension?

You're refering to the so called Bloch sphere?

[Tigerfadder]

I don't see superposition being an additional dimension.
Quantum computers simply outputs all possible results at once, in contrast to one result at one time as classical computers do.
Digital computers operate on discrete numbers, as quantum computers do either. There are no vectors.
The results of a qubit can be projected as vectors, but they are no real vectors.
Complex numbers can be represenated by a vector – but is the imaginary axis an additional dimension?


You're refering to the so called Bloch sphere?

Maybe... That was the visuals I got after watching some of microsofts development of quantum computers. From what I understand the cubits interact with each other and we can not see what is going on there. Its some kind of exponential calculation.

[WinnieW]

I guess we have to delve deep into the theory of quantum physics to understand the principles behind quantum computers.

Extension... delayed. Sorry, I have to translate all my thoughts in English first before I can write them down.

0 and 1 are representation of discrete values, they can not span a dimension. Otherwise even a digital computer operates with analogue signal values, only the representation of the vales are digital.
Below a cretain voltage level a signal is 0, above that level it is 1.
Theoretical one dimension can hold a infinite number of values, but in real implementations there are basicly two limits.
- The minimum and maximum of a signal level
- The smallest difference of analogue values you can transfer into digital values.
Think of shaving off fractional digits.
You can differentiate between e.g. 0.51 and 0.52, after removing the last decimal place, that leaves you to 0.5 for both and then there is no difference between the two values.

In theory, the possible number of superposition states is infinite, but for a real computer that operates with discrete number values the number of superpositions are also limited.

Thats the problem I have to see a additional dimension there.
...and that are no spacial dimensions, what we are talking about are numerical dimensions.

[Chae]

First socionics robots, now computers What's going on!

[Exodus]

A qubit is a 3- real dimensional quantum system. You can have higher dimensional quantum systems but supposedly it's more efficient to construct more qubits, so n qubits will give you 3n real dimensions.

[WinnieW]

What's going on!

A lot of things, Chae. Handling multiple topics shouldn't be a problem for the -ego.

[Chae]

A lot of things, Chae. Handling multiple topics shouldn't be a problem for the -ego.

Oi oi! You're an expert on this? Says the mistyped ILE. Now real talk: It's the I'm getting problems with, I can't make sense of it and need some explanatory help

[WinnieW]

Oi oi! You're an expert on this?

Hmm. Expert, no, but rather skilled at handling different topics.

Says the mistyped ILE.

You see me being -vulnerable? I see myself being -vulnerable.

Now real talk: It's the I'm getting problems with, I can't make sense of it and need some explanatory help

Do you want to understand how quantum computers work?
It's a complex topic and I know I understand much less about it that I like to know about it.

[Chae]

Hmm. Expert, no, but rather skilled at handling different topics.

You see me being -vulnerable? I see myself being -vulnerable.

Do you want to understand how quantum computers work?
It's a complex topic and I know I understand much less about it that I like to know about it.

Yes, NeTi > TiNe all the way, Fe is too good to be the suggestive. You are a carbon-copy of @Troll Nr 007
No I only wanted to see what Tiggerfadder is up to there, and why those analogies and all A bit confusing.

[The Reality Denialist]

It takes a lot of dedication to get into quantum (physics) world.

I have done only couple of courses (in physics [and also quantum chemistry and that is already heavily applied]). It got pretty heavy back then and I didn't have much time.

Sounds like ILI dream come true, quite possibly. We start to deal with probabilities on top of programming...

[WinnieW]

Yes, NeTi > TiNe all the way, Fe is too good to be the suggestive.

A lot of alpha SF people in my family, I simply had to develope the use of to fit in.
You suggest I'm ILE, not LII? Ok, then I'll reconsider my type.

[Chae]

A lot of alpha SF people in my family, I simply had to develope the use of to fit in.
You suggest I'm ILE, not LII? Ok, then I'll reconsider my type.

That's an interesting dynamic there! How did you work on ?
And cool - if you want we can just make a thread for it and get some other people involved there, not to derail it here.

[WinnieW]

Ok, back to topic... a short video about dimensions...

[Tigerfadder]

Ok, back to topic... a short video about dimensions...

Minkowski space is cool. If I understood it correct we are always traveling at the speed of light in the time axis, even when perfectly still. And if you move your arm that arm still travel in the speed of light but divided in the time axis with one of the space axis?

[Aylen]

I don't know op but this is pretty exciting. @singu



http://www.newsweek.com/brain-struct...n-works-624300

[Adam Strange]

Minkowski space is cool. If I understood it correct we are always traveling at the speed of light in the time axis, even when perfectly still. And if you move your arm that arm still travel in the speed of light but divided in the time axis with one of the space axis?

Yes, your progress through time and space are vector components of your progress through spacetime at the constant speed of light. The two (space and time) components are vectors whose vector sum is the speed of light.

https://physics.stackexchange.com/qu...speed-of-light

[Skepsis]

Careful how deep you dig into other dimensions:



and you might have to deal with these:

[Singu]

Well, it seems like a qubit is 2 classical bits (1 or 0 binaries) to the power of N, so 2^N. So this means that just having 300 qubits (atoms, etc) will have more classical bits than the number of atoms in the entire universe! So a simple quantum computer will be theoretically faster than a classical computer made out of the entire universe. That's the kind of scale that we're talking about...

[The Reality Denialist]

Umm.. the quantum computing is not here to replace our current computing... at least for now. Main motivation is to use it to solve problems that get too complex with "brute force" methodology here quantum algorithms and such step into game.

Schedules, finding fastest route etc.

[WinnieW]

quantum computing is not here to replace our current computing...

Correct, a quantum computer can not speed up all kind of computations.
If a (current) calculation depends on the result of a previous calculation there is no way to benefit from a quantum computer compared to a classical computer.

A quantum computer is basically a probability machine. It allows us a limited access to the 5th dimension, the probabilty plane.
The actual challenge is to filter out the desired result out of all the probable results.

A real computer is a 3-dimensonal construction. The state of 0 and 1 is represented by the number of electrons in a memory cell or in each register of the arithmetical unit.
0 and 1 are represented by 3 spacial dimensions in real computer.

An example for a problem that a quantum compouter can solve much faster ist the so called "traveling salesman problem".
For finding the optimum solution a lot of try and error szenarios are needed. A quantum computer can simulate all szenarios in parallel.

[Tigerfadder]

Correct, a quantum computer can not speed up all kind of computations.
If a (current) calculation depends on the result of a previous calculation there is no way to benefit from a quantum computer compared to a classical computer.

A quantum computer is basically a probability machine. It allows us a limited access to the 5th dimension, the probabilty plane.
The actual challenge is to filter out the desired result out of all the probable results.

A real computer is a 3-dimensonal construction. The state of 0 and 1 is represented by the number of electrons in a memory cell or in each register of the arithmetical unit.
0 and 1 are represented by 3 spacial dimensions in real computer.

An example for a problem that a quantum compouter can solve much faster ist the so called "traveling salesman problem".
For finding the optimum solution a lot of try and error szenarios are needed. A quantum computer can simulate all szenarios in parallel.

ya it might be dealing with probability but is it really 5D?

[WinnieW]

I see it as a projection of the probability. We humans can not really expirence the 5th dimension. Our perception is limited to 4D, the Worldline.

[The Reality Denialist]

[strangeling]

From what I understand, the only advantage is that a qubit utilizes quantum entanglement, which let's you entangle it with other qubits and change their states simoultaneously, however you like (or however you program it). That's why it is 2^N possible states for every N number of qubits.

But that sort of thing has specialized applications. It seems mostly suited for programs that troll nr 007 mentioned - parallel scenarios, traveling salesman problem or anything that involves 2^N computational complexity.

[Tigerfadder]

From what I understand, the only advantage is that a qubit utilizes quantum entanglement, which let's you entangle it with other qubits and change their states simoultaneously, however you like (or however you program it). That's why it is 2^N possible states for every N number of qubits.

But that sort of thing has specialized applications. It seems mostly suited for programs that troll nr 007 mentioned - parallel scenarios, traveling salesman problem or anything that involves 2^N computational complexity.

All problems that is brute-forced can be solved easily. Other than that there would probably be more areas that will be effected, the AI area?

[strangeling]

I mean I'm not an expert and I'm just going off what I understand about quantum entanglement, but I don't think it reduces the complexity of any algorithms. But it does seem that it would reduce the massive amount of data overhead that overwhelms a normal computer much faster. So I imagine that would be suited well for AI. I wonder if that's how our brains work too.

[The Reality Denialist]

https://www.wikiwand.com/en/Quantum_cognition

[Tigerfadder]

https://www.wikiwand.com/en/Quantum_cognition

There is also quantum biology.

[Tigerfadder]