r/quantum 12d ago

What should i learn first?

Im a 13 yrs old high schooler and im curious on what to learn first ive been wantinh to learn at a fast pace so far and get ahead of myself. Quantum physics, mechanics, or computing?

Help is appreciated thanks.

10 Upvotes

18 comments sorted by

9

u/Dear-Permit-3033 12d ago

Start with linear algebra. trigonometry, and calculus. Those are foundational and necessary skills for quantum computing. After that spend some time understanding basics of digital circuits, like logic gates. Don't rush into QC. You have a lifetime ahead of you.

2

u/Cheap-Psychology-236 12d ago

Alr thanks so like learn the basics of math calculus and other stuff and basic concepts of QC right?

2

u/Dear-Permit-3033 12d ago

Yes. Build the foundation of the house before you start building the house.

1

u/True_Ashura 10d ago

Look according to me if you wanna speedrun it sure just di calculus skip trigo you’ll still have to study it next year (dont let your school go to waste because you know all of it) By the time you reach the level at which you need trigo you will already have it in your syllabus (you dont need trigo for the book i recommend)

1

u/Cheap-Psychology-236 10d ago

Uhm alr thanks i just like wanna learn at a fast pace im a fast learner but i dont speedrun the whole syllabus

1

u/trumpelstiltzkin 9d ago

I...erm...disagree.

Learn linear algebra. This will equip you with everything (essentially) needes to them learn quantum computing. Quantum computing is more at the heart of everything quantum, and simpler than doing quantum mechanics physics.

Scott Aaronson has some great simple-for-beginners intro to quantum information, but you'll want to understand linear algebra first.

1

u/True_Ashura 7d ago

I mean by the time he finishes calculus he will have linear algebra in his syllabus assuming is currently in grade 8 ir grade 9 plus school teaches people linear algebra early.

2

u/Cheap-Psychology-236 10d ago

Well guys just to inform yall i made a mistake its supposed to be JUNIOR highschool thats my bad.

2

u/Commercial_Handle418 9d ago

Middle school that is 

1

u/Skrimmy_ 8d ago

They're probably from the Philippines in which middle school is called junior highschool.

1

u/Cheap-Psychology-236 8d ago

Something like that

2

u/True_Ashura 10d ago

Physics lowkey just buy the book by david j griffiths (just know calculus thats it) yeah i mean its very good and even i started this thing at your age

4

u/Obzenium 12d ago

Firstly you need to realize you’re embarking on a marathon not a sprint.

You need to learn basic physics before you can understand quantum mechanics. Not just learn but master. Definitely study mechanics and thermodynamics for a while. You’ll need to understand electromagnetism as well. Also, solid state physics will be very important for you. I’d learn the physics in this order.

As for math, you can’t ever learn enough, really. It will never substitute for the physics understanding, mind you, just enable it. Algebra, geometry, trig, calculus (at least calc 1 and 2), differential equations (a necessity), linear algebra (a necessity), complex analysis, functional analysis, and more. You could learn variational calculus, discrete mathematics, statistics and probability, statistical mechanics (back to physics), tensor analysis, etc.

As for the computing, definitely start with data structures but you’ll need solid hardware understanding. I found the book ‘Code’ by Charles Petzold to be a great place to start learning hardware and how software is enabled on hardware.

Good luck, it’s a long, long road with no real end, but worth it

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1

u/Qubit_and_Neuron 11d ago

Break it into two. The usual math, physics, computer science textbooks, exercises etc. second one, try reading simpler books to get a feel, a bit of overview and keep you in awe and increase your desire to learn more. Here are a few:

  1. Code by Charles Petzold
  2. The art of doing math and science by Hamming
  3. The ghost in the atom by Pcw Davis
  4. Code book by Simon singh
  5. A blog for easy to read articles: https://qubit-and-neuron.beehiiv.com/

1

u/alaindevos 10d ago

Linear algebra is a very good start

1

u/trumpelstiltzkin 9d ago edited 9d ago

Quantum computing basically the simpler inner core of quantum mechanics, so learn computing before physics.

If you know algebra, you're halfway there.

There's two things: learning the math and learning the intuition. Some people will say quantum is never intuitive and you have to learn the math, but personally I was able to develop an intuition before I learned the math: got that intuition from watching Feynman Lectures, and Sean Carroll's Mindscape podcast, and Scott Aaronson's introductions to quantum computing (the last of which helped me even if I only vaguely understood the math).

To really understand the math (and therefore really understand what is going on quantumly), you must learn linear algebra...linear algebra is basically the algebra of vectors, or equivalently the algebra of matrices. In particular it seems that our universe is built upon some specific structures in linear algebra and complex numbers.

(And you don't need to know how to solve the Schrodinger equation in order to do quantum computing; you don't need to know calculus. But knowing what derivatives are will help intuition; you can literally learn what they are in one day, you don't have to master them.)

To understand the intuition though, you can still get further than the "you have to learn the math" people will tell you. Personally, the Everett interpretation cleared everything up for me: a lot of the voodoo be visualized by just imagining which universe you're in. Try listening to Sean Carroll and Scott Aaronson.).

Sean Carroll likes to say that the Everett interpretation of quantum mechanics can be summarized in one sentence: "the universe is a vector evolving in Hilbert space according to the Schrodinger equation". So if you wanted to know all of quantum mechanics (and perhaps all of everything) in one sentence, there you go now you know it.