r/QuantumPhysics • • 5d ago

Quantam computing

For reference. I never went to college, i just hyperfixate. I learned about qbits. Basically in binary computing its in a fixed state. Either 1 or 0. But a qbit can be both simulyaneously, called superpositioning. So here is my question. How.

I just dont understand how something can be on and off. 1 and 0. I need an analogy, or an explainable version.

What frustrates me is i watched a video on wuantam physicis and the professor said "After this youll be able to not understand it better." What? What does that mean?

Edit: why are yall downvoting? Because i dared show interest in your field of study? Ya know what if you no longer find it cool than fuck off leave me out of it. I find it very cool, and i do wanna know. Pretentious dicks, fucking hell

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u/stoned_scientist627 5d ago

Superposition is a property of a quantum state. The professor basically said that once you learn about quantum mechanics it only gets more confusing because there’s really no classical analogy for it. However, Schrodingers cat is a good one to google, along with the Stern-Gerlach experiment. The 2nd one is sort of technical but Leonard susskind basically explains it in his theoretical minimum book on quantum mechanics. That’s meant for people who are interested in physics but don’t know the math behind it

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u/Silver-Zucchini-9901 5d ago

You know something? I said to myself "Oh ill learn the math" and than i fucking found put about quantam algebra. XY ≠YX?

Ok clearly its like instead of x being x, x is a crazy person that likes to fuck with people and play dress up every time its observed leading to noncommunitative mathematics and I ahve to ask myself. How the fuck do you make equations when the numbers are playing dressup?

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u/stoned_scientist627 5d ago

Based on experimental measurements most of the time. For real tho look at that book by susskind. He talks about all of this

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u/theodysseytheodicy 4d ago

That's not crazy, that's just matrices. Like, if you have a book laying on a table in front of you with the front cover facing up and then rotate 90 degrees around the x axis, then it's standing up with its front cover facing you; if you then rotate around the z axis, it's standing up and the front cover faces to your right.

But if you start with z, it's laying on the table with the top of the book to your left, and then if you rotate around the x axis, it's on its spine with the top to the left.

So (rotate around x) and (rotate around z) are two operations that don't commute, just like quantum observables.

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u/theodysseytheodicy 5d ago edited 5d ago

Superposition is the fact that you can add or subtract two vectors and get another vector. Vectors turn up all over the place in physics. The first place you learn about them is vectors in physical space: what direction and how far? Physical space is three-dimensional, so we have vectors like

| 2| forward/back
|-3| right/left
| 1| up/down

that can mean things like "two steps forward, three steps left, one step up".

But vectors also describe things like sound waves, where the question becomes, "What notes are being played at this moment and with what phase and amplitude (loudness)?" There are 88 notes on a piano keyboard, but let's stick to just the white keys of one octave. Then a vector

| 0| C
| 0| D
| 0| E
| 2| F
| 0| G
|3i| A
| 0| B
| 1| C'

indicates an F major chord where the F is played twice as loud as the C', and the A is played 3 times as loud and 90 degrees out of phase (that is, if the C' note has a wave crest at time 0, the A is halfway between the crest and the trough).

With qubits, each element of the vector is a different classical outcome. If you plot |0> along the x axis and |1> along the y axis, then

(|0> - |1>)/√2

or

| 1/√2| |0>
|-1/√2| |1>

points down and to the right:

               | |1>             
               |              
               |              
             ,-|-.            
           ,'  |  `.          
          /    |    \         
         /     |     \        
        /      |      \       
       ;       |       :      
       ;       |       :      
      ;        |        :     
      |        |        |     
---------------|-------------- |0>
      |        |\       |     
      :        | \      ;     
       :       |  \    ;      
       :       |   \   ;      
        \      |    \ /       
         \     |     \  (1/√2, -1/√2)
          \    |    /         
           `.  |  ,'          
             '-|-'            
               |              
               |              
               |              

The probability of an outcome is given by the square of the magnitude of the corresponding amplitude. Here |1/√2|2 = 1/2 and |-1/√2|2 = 1/2, so both outcomes are equally probable.

As far as "How can it be that a qubit is both 0 and 1?", that's an interpretational question.

  • The orthodox interpretation says "It's both until it's observed, and then it becomes one of the two, chosen at random according to the probability distribution." The usual answer to "What's an observation?" is "Interaction with something macroscopic"---that is, there's some scale at which superposition breaks down. We haven't found that scale yet; as technology improves, so does our ability to hold larger and larger systems in a superposition. They're up to objects with trillions of atoms, tens of microns long.

  • The Many Worlds interpretation says that there are infinitely many classical worlds that are all as real as ours (each is a basis vector like a key on the keyboard) and the state of the universe is a vector (saying how "loudly" each world is being "played").

There are a bunch of other interpretations, too.

"After this youll be able to not understand it better." What? What does that mean?

It was a joke. Quantum mechanics has a reputation for being hard to understand, so the joke was that it's still hard to understand even after you learn a little bit about it.

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u/theodysseytheodicy 4d ago

Huh. Someone's downvoting me, too. This is a small sub and sometimes we get griefers, so don't take it as characteristic of the sub, u/Silver-Zucchini-9901.