Now 2 to the 250 is larger than the

number of atoms in the Universe, so even if I had the computer the size of the Universe,

I wouldn’t be able to store enough data to represent the state of a

very simple molecule. My name is Tom O’Brien and I just

finished my PhD studying applications of quantum computing, and how a quantum computer might be good at doing chemistry. And I’d like to tell you

a bit today about why you might want to use a quantum computer to

solve problems in chemistry. So for me to do this, I should begin by telling you a

little bit about why classical computers, why your laptop, or why large

supercomputers are particularly bad at solving problems in quantum chemistry.

And I want to do this by starting with the world’s simplest molecule,

which is dihydrogen. So dihydrogen, or the hydrogen molecule,

has two nuclei. One on the left and one on the right. Left and right just because.

And then each of these nuclei has an electron flying around. Let’s

label these guys: A spin up electron flying around the left atom, and we can make a spin down electron

flying around the right atom. I’m just using the up and down labels to

distinguish the two electrons right now. Now when you have each of these atoms in isolation, the electrons just tend to fly

around them by themselves. But when I put the two of them together, I have to ask

myself the question, namely: Will this electron stay on the left atom,

or will it move across and jump on the right? Quantum mechanics says that actually I’m

allowed to have my cake and eat it too here. The electron might want to do both:

it can be in a superposition of being on the left atom and on the right atom. And for me to try to find the optimal

or the lowest energy configuration, I need to consider all of these possibilities. So for me to do this for this very simple

system, I can just build a table. So for the ‘up-spin electron’ that could be

around the left atom, Or it could be around the right atom. That’s two possibilities. The ‘down-spin electron’ that could also be around the left atom,

or it could be around the right atom. That’s two possibilities. And then there

are two competing forces that I need to consider to balance out the electrons, to balance out a superposition

of these four possibilities. The first one is the electrostatic force. Electrons repel each other. So these want to be

as far away from each other as possible. The second force is the kinetic

force, which roughly means electrons like to move about. They like to be in as many places

as they can at the same time. They want to be free. When you write down this table

and you want to build your superposition, you have that the electrons being free would just prefer to be in as many boxes as possible. Whereas the electrostatic repulsion wants to force the electrons to either

be up in this box, where you have one on the right and one on the left, Or in this box down here, which has the same. Balancing out the four combinations

to balance out the strength of these two forces, means I have to really

consider a number in each of these boxes. Now this is a really simple problem,

because there are only four numbers, and the reason why there were only four numbers,

is because there were only two electrons. Two electrons gave me four numbers,

which is two to the two. However, a relatively small molecule can still

have hundreds of electrons. And at the point where I have 250 electrons,

then this means I need to consider approximately 2 to the 250 numbers to

describe the state of the entire system. Now 2 to the 250 is larger than the

number of atoms in the Universe, So even if I had a computer the size of the

Universe I wouldn’t be able to store enough data to represent the state of a

very simple molecule. So if I want to use a computer, I have to do some kind

of approximation to solve this. I mean a classical computer, my desktop. But a quantum computer avoids this by being an artificial molecule. Let me briefly show you how that occurs. A computer is made out of qubits and the

qubits that I’ve been studying in my PhD are called transmon qubits. And a transmon qubit has two superconducting islands sitting at about 20 millikelvin in a very, very cold fridge. And these are connected by a weak link. Because they’re super

conductors, charge can slosh about, it’s very free to move. There’s no

resistance. Charge is free to move between the left and the

right islands. And the laws of quantum mechanics say that it does this

coherently. The charge can be in a superposition of being on the left island and being on the right island. If a single transmon, let’s call this

guy T1, then T1 has the possibility

of being in plus left and plus right. That gives me two possibilities that I have to consider when I’m describing this system. If I have another transmon, T2, this also has charge on the left or on the right. You can see that I’m building up exactly

the same table that I have above, In exactly the same way. Because this is behaving like an artificial H2 molecule. As I add more transmons to this system

it’ll grow in exactly the same way as the electronic system has up here. So my research has

been about trying to describe the control of this system and how to

actually use it to mimic the artificial molecule, and use it to extract

data from these quantum systems so that we can get data out,

that we actually can solve problems that we actually find useful. And so that we can deal with the the noise that limits the

precision of these devices, and that they don’t simulate to nature,

where the noise is much more reduced.

Nice video!

Really interesting video and well produced. The style makes me think of a numberphile video.