a SIMPLE overview of the math in Quantum Computing

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In this video, I briefly dive into Hilbert spaces and inner products. I also explain how qubits are mathematically represented. This is such an exciting field.

Brooke Joseph

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You explain things so clearly! I hope that you have more videos😊

simplywanderfull

Great to see this video, Brooke! Math is awesome

alexanderyevchenko

Great video just what I was looking for I hope u make more videos

magicmeatball

Love the enthusiasm! Towards the end I think we hinge a little bit less on simple and more on complex ahhahaha. Keep making videos! Thank you!

xitroxide

great video. can you tell us what major you study?

matthewyung

Nice exposition, Brooke! Love your contagious enthusiasm and your passion to make educational content. I can clearly see the amount of effort you must have put into making this video (the stuff is still pretty basic and rudimentary to me, haha, no offense 😝) and making sure all the details fit in perfectly... Also, I see a litttle bit of my lab TA at the Coding School in you, who used to teach us little concepts like this just the way you did in this video! <3
Would definitely love to collab sometime soon on any project of your interest, be it in quantum hardware, or quantum software development & programming stack, or quantum chemistry, or quantum finance, or post-quantum cryptography, you name it, that is, if you're interested too :)
Your TKS blogs are also super well-written and highly insightful for any beginner wanting to dip their toes in the ocean of modern quantum technologies! You are such a do-gooder in our quantum community perhaps unlike anybody we have seen so far. I hope we can keep working together on some of the most ground-breaking tech and make at least significant (if not HUGE) strides in the industry (or in academia) in the world of quantum!

With love & regards,
Sai

PS. It took me a little while to get the "Euclidean spaces" right, too, when speaking in a flow 😂, but the main hurdle for me in math was the "Kolmogorov Identity" LOL, it took me some fine-tuning to literally get it right every damn time! HAHA 😆
For anybody wanting to taste how delicious the math and the physics that go into quantum mechanics are, and to fact-check that Brooke wasn't lying here, I highly recommend going here:

Edit: I think it's worth pointing out at 3:23 that the physicist who did this thought experiment (and is still remembered for it by the name of the experiment itself) was Erwin Schrödinger who literally brought complex numbers into quantum mechanics! Nobody had ever thought of that before, Einstein included!! He became one of those pioneers to paint the picture of the elusively "mysterious" quantum mechanics (at the time) as a flavor of Wave Mechanics along with Dirac, Born etc, whereas up until that point most of the others were working on Matrix Mechanics (Linear Algebra, so to speak) to understand everything going on in the sub-atomic world. Of course, there were soo many others (like Heisenberg, Pauli, de Broglie, Bohr, etc) who dedicated their lives to the making of the so-called "Quantum Theory" of matter and energy and everything...
My respects to these amazing folk, and, my appreciation for your efforts too for doing this exposition! :)

SaiGanesh

Mathematically, why do multiple qubits result in added dimensions?

viralsheddingzombie

I’m a beginner who’s been trying to get into get into quantum computing for a while and this video was quite insightful! Would love to see more content regarding this topic. How long do you think it will take for quantum computers to become the norm ?

abdul.rehman.ikram

Schrödinger's cat is not explaining quantum mechanism exactly, it is like explaining micro world phenomenon in macro world. The cat state does not change before and after you open the box. The micro world will change depending when you do smth.

rabbit

2 bits can store 4 values. Can 2 qubits store more? If so, how?

arnoldsygo

Wow. It was pretty clear. I need to write a report about "Math in Quantum Computing". May you send me the typescript of this video please? I will left your YouTube chanel as a reference at the end.

susannasmbatyan

0:11 Hey! I've seen that i in the fourier transform, no way you'll convince me that's not complex. btw auto subbing like the channel.

manstuckinabox

Hey brooke! Kudos to this video mate 😃 anticipating a video or say a roadmap on quantum comouting for beginers if u cud share ur experience!

DivyajotSingh-qj