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  • To find the prime factors of a 2048 number it would take a classical computer millions

  • of years, a quantum computer could do it in just minutes.

  • And that is because a quantum computer is built on qubits, these devices which take

  • advantage of quantum super position to reduce the number of steps required to complete the

  • computation.

  • But how do you actually make a qubit in practice and how do you read and write information

  • on it?

  • I met up with researchers who are using the outer most electron in a phosphorous atom

  • as a qubit.

  • This single phosphorous atom is embedded in a silicon crystal right next to a tiny transistor.

  • Now the electron has a magnetic dipole called its spin.

  • And it has two orientations, up or down, which are like the classical one and zero.

  • Now to differentiate the energy state of the electron when it is in spin up and spin down,

  • you need to apply a strong magnetic field.

  • >> And to do that we use a super conducting magnet.

  • So super conducting magnet is a large solenoid.

  • It is a coil of super conducting wire that sits inside of that vessel that is full of

  • liquid helium.

  • >> So now the electron will line up with its spin pointing down.

  • That is its lowest energy state.

  • And it would take some energy to put it into the spin up state.

  • But actually not that much energy and if it were at room temperature the electron would

  • have so much thermal energy that it would be bouncing around from spin up to spin down

  • and back.

  • And so you need to cool down the whole apparatus to only a few hundredths of a degree above

  • absolute zero.

  • That way you know that the electron will definitely be spin down.

  • >> There is not enough thermal energy in the surroundings to flip it the other way.

  • >> Now if you want to write information onto the qubit, you can put the electron into the

  • spin up state by hitting it with a pulse of microwaves.

  • But that pulse needs to be a very specific frequency and that frequency depends on the

  • magnetic field that the electron is sitting in.

  • >> So what you see here is the frequency that is being produced by this microwave source

  • and it is 45.021 gigahertz, which in the magnetic field that we are applying now is the resonance

  • frequency of the electron.

  • >> So the electron is a little bit like a radio that can only tune in to one station.

  • And when that station is broadcasting, the electron gets all excited and turns to the

  • spin up state.

  • >> But you can stop at any point.

  • So if you just make a new tape and stop your pulse and some specific point, what you have

  • created is a special quantum super position of the spin up and spin down states with a

  • specific phase between the two super positions.

  • >> And how do you read out the information?

  • Well, you use the transistor that this phosphorous atom is embedded next to.

  • >> The spin down has the lower energy.

  • And the spin up has the higher energy.

  • Now in this transistor there is, in fact, a little bundle of electrons.

  • This bundle of electrons is filled up up to a certain axis.

  • This vertical axis here is energy.

  • And here we have got all these electrons that line up in energy just like the electrons

  • on the shells of an atom.

  • So now if the electron is pointing up, it can jump into the transistor, right, because

  • it has more energy than all the others.

  • It leaves behind the bare nuclear charge of the phosphorous, right?

  • The phosphorous one more positive charge in the nucleus as compared to silicon, but normally

  • it is neutralized by the extra electron so the two things cancel out.

  • But if you take the electron away, then the phosphorous has a positive charge.

  • So it is as if you have a positive voltage, a more positive voltage applied to this gate.

  • It doesn’t come from the gate.

  • It comes from the atom, but is the same.

  • It is just a positive voltage.

  • >> It is like the transistor has been switched more on.

  • And so you see a pulse of current and that indicates that the electron was in the spin

  • up state.

  • >> In this measurement phase, if you find one of these spikes of current, it is because

  • you had an electron spin up.

  • So it can play catching a spin up or a spin down event.

  • You use, there was no current here.

  • That was a spin down event.

  • And try again.

  • Again a spin down electron.

  • Spin up electron.

  • >> Now these researchers have actually gone further using the nucleus of the phosphorous

  • atom as a qubit.

  • Like an electron, the nucleus has a spin, although it is 2000 times weaker than the

  • spin of the electron.

  • But you can still write to it the same way using electromagnetic radiation, only it needs

  • to be a longer wavelength and a longer pulse in order to get the spin to flip.

  • >> Because it is so small, so weakly magnetic and so perfectly isolated from the rest of

  • the world, it is a qubit that lives for a very long time.

  • >> But how do you read out the spin of the nucleus?

  • Well, you use the electron.

  • Remember that the electron’s frequency that it will respond to depends on the magnetic

  • field that it is sitting in.

  • >> So that magnetic field is the external magnetic field that is produced by the super

  • computing magnet, but there is also an internal magnetic field coming from the nucleus.

  • But that internal magnetic field can have two directions.

  • Right?

  • The nucleus can be pointing up or down itself.

  • So what it means is that there are two frequencies at which the electron can respond, depending

  • on the direction of the nucleus.

  • >> So the nucleus actually acts as a little selector.

  • It tells the electron, basically, which radio station it can listen to.

  • >> So what you are looking at now is an experiment where we actually flip the nucleus every five

  • seconds.

  • So for five seconds you will see that the electron always responds, because the nucleus

  • is always in the right direction to make the electron respond to the frequency we are applying

  • to the electron.

  • And then for the other five seconds, the electron will not respond, because we have flipped

  • the nucleus the other way.

  • So now watch.

  • You see?

  • >> So in this period of time the nucleus has been flipped down.

  • >> Yeah.

  • >> And now after five seconds it will flip up and then...

  • >> Yeah, you see?

  • >> And then the electron starts responding.

  • >> Yeah.

  • So you are watching on the oscilloscope screen in real time the measurement of the direction

  • of a single nucleus and our ability to flip it at will every five seconds.

  • >> The spin of the single nucleus.

  • >> Nucleus.

  • >> Now because all of this depends so sensitively on magnetic fields, you need to make sure

  • to eliminate all spin from the silicon crystal.

  • But, unfortunately, natural silicon contains about five percent the isotope silicon 29

  • and that does have a spin.

  • >> But, in fact, the beauty of silicon is that it has this isotope called silicon 28

  • that has no nuclear spin.

  • The nuclear spin is zero.

  • So it is a completely non magnetic atom.

  • >> But where are you going to find a pure crystal of silicon 28?

  • Oh, wait.

  • >> These isotopically purified silicon 28 crystals are being produced anyway for a purpose

  • completely different from particle computing.

  • They are being produced to redefine the kilogram through the Avogadro project.

  • >> So the off cuts from that silicon sphere are actually being used as the home for qubits.

  • That, I think, is incredible.

  • There is no waste in this science.

  • Hey, there.

  • This episode of Veritasium was supported by Audible.com, a leading provider of audio books

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  • Now I am heading out today on a road trip across the US and I am taking with me Nate

  • Silver’s book The Signal and the Noise: Why so many predictions fail, but some don’t.

  • Now if you want to listen to that along with me, you can download it for free by going

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To find the prime factors of a 2048 number it would take a classical computer millions

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