pcalau12i

joined 3 months ago
[–] pcalau12i@lemmygrad.ml 1 points 11 hours ago* (last edited 11 hours ago)

On the surface, it does seem like there is a similarity. If a particle is measured over here and later over there, in quantum mechanics it doesn't necessarily have a well-defined position in between those measurements. You might then want to liken it to a game engine where the particle is only rendered when the player is looking at it. But the difference is that to compute how the particle arrived over there when it was previously over here, in quantum mechanics, you have to actually take into account all possible paths it could have taken to reach that point.

This is something game engines do not do and actually makes quantum mechanics far more computationally expensive rather than less.

[–] pcalau12i@lemmygrad.ml 1 points 1 week ago

So usually this is explained with two scientists, Alice and Bob, on far away planets. They’re each in the possession of a particle that is entangled with the other, and in a superposition of state 1 and state 2.

This "usual" way of explaining it is just overly complicating it and making it seem more mystical than it actually is. We should not say the particles are "in a superposition" as if this describes the current state of the particle. The superposition notation should be interpreted as merely a list of probability amplitudes predicting the different likelihoods of observing different states of the system in the future.

It is sort of like if you flip a coin, while it's in the air, you can say there is a 50% chance it will land heads and a 50% chance it will land tails. This is not a description of the coin in the present as if the coin is in some smeared out state of 50% landed heads and 50% landed tails. It has not landed at all yet!

Unlike classical physics, quantum physics is fundamentally random, so you can only predict events probabilistically, but one should not conflate the prediction of a future event to the description of the present state of the system. The superposition notation is only writing down probability amplitudes of the likelihoods of what you will observe (state 1 or state 2) of the particles in the future event that you go to the interact with it and is not a description of the state of the particles in the present.

When Alice measures the state of her particle, it collapses into one of the states, say state 1. When Bob measures the state of his particle immediately after, before any particle travelling at light speed could get there, it will also be in state 1 (assuming they were entangled in such a way that the state will be the same).

This mistreatment of the mathematical notation as a description of the present state of the system also leads to confusing language like "it collapses into one of the states" as if the change in a probability distribution represents a physical change to the system. The mental picture people say this often have is that the particle literally physically becomes the probability distribution prior to measuring it---the particle "spreads out" like a wave according to the probability amplitudes of the state vector---and when you measure the particle, this allows you to update the probabilities, and so they must interpret this as the wave physically contracting into an eigenvalue---it "collapses" like a house of cards.

But this is, again, overcomplicating things. The particle never spreads out like a wave and it never "collapses" back into a particle. The mathematical notation is just a way of capturing the likelihoods of the particle showing up in one state or the other, and when you measure what state it actually shows up in, then you can update your probabilities accordingly. For example, if you the coin is 50%/50% heads/tails and you observe it land on tails, you can update the probabilities to 0%/100% heads/tails because you know it landed on tails and not heads. Nothing "collapsed": you're just observing the actual outcome of the event you were predicting and updating your statistics accordingly.

[–] pcalau12i@lemmygrad.ml 2 points 1 week ago

Any time you do something to the particles on Earth, the ones on the Moon are affected also

The no-communication theorem already proves that manipulating one particle in an entangled pair has no impact at al on another. The proof uses the reduced density matrices of the particles which capture both their probabilities of showing up in a particular state as well as their coherence terms which capture their ability to exhibit interference effects. No change you can make to one particle in an entangled pair can possibly lead to an alteration of the reduced density matrix of the other particle.

[–] pcalau12i@lemmygrad.ml 1 points 1 week ago

I don't think solving the Schrodinger equation really gives you a good idea of why quantum mechanics is even interesting. You also shouldstudy very specific applications of it where it yields counterintuitive outcomes to see why it is interesting, such as in the GHZ experiment.

[–] pcalau12i@lemmygrad.ml 2 points 2 months ago

There is a strange phenomenon in academia of physicists so distraught over the fact that quantum mechanics is probabilistic that they invent a whole multiverse to get around it.

Let's say a photon hits a beam splitter and has a 25% chance of being reflected and a 75% chance of passing through. You could make this prediction deterministic if you claim the universe branches off into a grand multiverse where in 25% of the branches the photon is reflected and in 75% of the branches it passes through. The multiverse would branch off in this way with the same structure every single time, guaranteed.

Believe it or not, while they are a minority opinion, there are quite a few academics who unironically promote this idea just because they like that it restores determinism to the equations. One of them is David Deutsch who, to my knowledge, was the first to publish a paper arguing that he believed quantum computers delegate subtasks to branches of the multiverse.

It's just not true at all that the quantum chip gives any evidence for the multiverse, because believing in the multiverse does not make any new predictions. Everyone who proposes this multiverse view (called the Many-Worlds Interpretation) do not actually believe the other branches of the multiverse would actually be detectable. It is something purely philosophical in order to restore determinism, and so there is no test you could do to confirm it. If you believe the outcome of experiments are just random and there is one universe, you would also predict that we can build quantum computers, so the invention of quantum computers in no way proves a multiuverse.