Thanks. As David said Thanks for having me Spencer Falak I'm representing the cost of quantum systems of vision which is right here if you want to. Ask them any questions after the talk and I'll be talking about advances in AI and trap quantum computing and it's no concern if those words don't mean anything to you at this point the talk is intended to be you know soup to nuts introductory. You know what is quantum computing what are trap diets and how do we work with them. On that note that's a question I just asked which is what is quantum computing and how does it compare to classical computing So for us classical computing means by an area logic with transistors the same type of logic that goes on in your cell phone or your MacBook Pro or your F.P.G.A. and I'll talk a little about quantum computing it's a completely separate paradigm where we use a new type of bit called quantum bits to solve different types of problems that you can't solve on your own your best classical computer. I'll talk next about trapped which are our choices of quantum bit talk about why we've we use them what are their advantages and how do we control them to sort of change their state in the same way that you might change the state of a classical computer. Next I'll talk a bit little bit about scaling so how do we go from our current experiments which are a few a few quantum bits up to two hundred so maybe thousands if hope. One day that will be the case just like you know there was an exponential speed up in classical computing and then finally highlight one of our newest algorithm demonstrations very briefly just to give a feel for where the fields that but also how far we have to go to really do a powerful computation. And I just like to point out how multi-disciplinary this field is and I know there are a lot of students in here from different backgrounds and the talk is sort of split up into thirds where the first third is more computer science and then we get into atomic physics and then sort of what the Nano seminars are more about electrical engineering which is using micro fabrication as a tool to to advance our research and the goals of the field. So here's a little bit of the history of classical computing and this is something that you might see on day one of electrical engineering class. But what's useful for us is to sort of look at it as a comparison for quantum computing and to see maybe if we are following the same track so classical computing starts out in the seventeen hundreds with the introduction of binary logic followed by Boolean algebra and the eight hundred fifty S. and then maybe one of the most important inventions of the twentieth century is the transistor at Bell Labs by Bardeen Bradley supervised by Bill Shockley. And then in one hundred fifty eight with the first integrated circuit. From nine hundred sixty five until now we've seen incredible growth in classical computing there's you know companies like Intel and Moore's Law which say we can double our device complexity every year not here to talk about Moore's law there are certainly skeptics of the future of that but I'm here to talk about a completely different paradigm and maybe something that's separate and you know today we have incredible supercomputers that you know have twenty Petta flops of logic operations that can do incredible things and I'd like to compare this waiter at. To where we're at in the quantum computing field. So there are some limits on the way that we've approached scaling we use lots of large clusters operating in parallel to solve some of the most complex problems we can add graphical processors or F.P.G.A. to supplement our cluster but there are certain problems that aren't really tractable with this type of scaling and in one thousand nine hundred one Richard Feynman propose that there are some problems that could be solved better with a quantum bit with a completely different style. And that brings us sort of to the history of quantum computing which you can sort of make a comparison to what I just showed you before. The one thousand eight hundred Max Planck quantizes light to account for black body right eight radiation there's big names like zero and showed in German Albert Einstein who sort of formulate modern quantum mechanics and then eighty years later Richard Feynman publishes this quantum computing lectures which talks about in a very abstract way about how there could be such thing as a quantum computer and it takes another fifteen years before this sort of abstract idea becomes a reality when researchers at the National Institute of Standards and Technology perform the first two quantum bit logic gate and it's for this work that Dave Wineland who's a physicist at NIST won the Nobel Prize a few years ago and you know in the past ten years since that sort of the field has started to take off but it hasn't been very quickly it's sort of the same way that classical computing take has taken off and we've gone from one sort of gate and now we can sort of do algorithms with three to five quantum bits very small number of bits and what we're hoping for is the same type of rapid growth that classical computing saw from one nine hundred sixty S. until now where we can scale up from five bits to thousands hopefully. So we talked a little about quantum. Computing in the history but what is it actually useful for and right now it's a bit unknown there are a few algorithms that have been theorized that will be much more efficient on a quantum computer the key algorithm is Shore's factorization algorithm which I'll talk about a bit about in the next slide there are some other applications here the discrete for a transform simulating quantum systems and then solving linear systems but the current currently the quantum speed up is limited to only a few algorithms and we expect or we hope that as the field expands they'll be more algorithms that sort of bootstrap along with the development of new technology that can also surpass their classical counterparts. So here's a source factorization algorithm and this is probably the king of the quantum algorithms because it's the one that's most interesting to the federal government and the reason is that R.S.A. public private key distribution assumes private factorizations computationally hard are saying corruption is ubiquitous it's used on Internet security cellphone password things are not source and so for much of your bank account password things like that. And the intelligence community has very strong interest in an algorithm which would either render this type of system useless or maybe come up with a new way to avoid other countries from breaking our current encryption code so here's an example of classical scaling and quantum scaling for factoring a prime number and as you can see as you add more and more digits the quantum scale is far far better than the classical scaling it takes far far fewer number of operations to to factor a number Quantum with a quantum computer than it would classically and this is sort of why this field took off so so quickly and here's sort of like a an example you know what's the biggest number that one can factor in a reasonable amount of time. If I sat down with a pen and paper maybe I could do a three digit number and your MacBook Pro could maybe do a fifteen digit number if you wrote a nifty little algorithm and then the best published computer could do a two hundred thirty one digit number and we're hoping that you know a quantum computer could do much much larger more complicated number in a reasonable amount of time. So we've talked a bit about quantum computing and maybe a few of the algorithms that will surpass a classical counterpart but what exactly does that mean what is the quantum bit how does it work. And there are two key components that I'll talk about the first is superposition and the second is entanglement and these are two. Key points to describing quantum bits so what's. So here's an example of a classical bit that has a value of zero or one you can make the analogy to a switch and it just turns on and off and quantum mechanically we have this principle called superposition which I'll talk about in the next slide. But here let's look at an example of a two bit word which holds for value zero zero zero one one zero one one one and then. We can look at a quantum bit and we describe it with this state notation side where these are complex coefficients A zero and a one and what you'll notice here is that each quantum bit of this quantum state that we've written here can store information about both zero and one simultaneously. But there's sort of a weird Kaviak which is if you measure the quantum bit the state will collapse into zero or one with probability given by the magnitude of these coefficients squared and the analogy I like to use it's not a perfect analogy because these are quantum mechanical States but is a weighted coin a sort of like you have a heads or tails and when you flip the coin it away and either heads or tails and you can change the weighting of that coin. About how we do that with quantum bits later. And then to return to the example from the previous slide if we look at it two cubits state it now requires two to two squared for complex numbers or two to the third real coefficients to describe So this is more information in each quantum state than that in a classical state and this is sort of a powerful implication for computing. The second key point I'll talk about is entanglement and this is the ability to link to quantum bits so that their states cannot be described separately and there really isn't any classical. And that like comparison to this in classical computing and the analogy that I like to use before which is if you had two coins and flipped them they would both land heads or both land tails together and never opposite from each other and this weird entanglement is something that troubled Einstein and other researchers in quantum mechanics for a long time but it's it happens to be a very key component to doing a quantum computation so let's return back to our outline for a second I talked a little bit about what was quantum computing and now it's sort of what are the key components of quantum computing but now all talk about trapped ions and trapped ions are what we use a teacher or I for quantum bits and I'll sort of highlight how we control the trap Dion's and how we can generate superposition entanglement to do interesting algorithms with these particles. So just before I dive into trapped on thought talk a little bit about the technology that people have used over the past ten years to as this field has grown people have tried to make quantum bits out of polarization States and photons circuit in superconducting loops to the electron gases quantum dots and then. Energy States in neutral atoms and here's a picture of a lattice of neutral atoms and then here's a. Picture of chain of trapped ions which is what we have a D.T.I. this is a picture from our lab and over the past ten years it's sort of become clear that superconductors and trap diamonds are the most promising candidates they have their trade offs superconducting cubits are incredibly fast you can do a quantum operation in nano seconds whereas in trap times it's on the order of microsecond but the coherence time which is really the ability to to do operations. Coherently with previous operations and read them out coherently is far longer for trap Dion's than it is for superconductors and sort of as an aside this you know picture of five or six cubit superconducting circuit at Santa Barbara is their team has recently merged with Google to continue this work so it sort of gives you an idea of the hype surrounding this field and sort of where people think it might go. So moving into trap Diane's. Cubits are the species that we're using. We have calcium terbium and we're starting work with strontium. I'll talk mostly about you terbium that's the chapter on that we've done the most interesting algorithm work when recently. And so let's get in now to how do you trap and so here's a really small picture of an eye and trap and I'll talk about that in the next slide and we put the trap into a vacuum and the reason for that is each eye obviously doesn't weigh very much and if it collides with the particle an area could get knocked out of the trap it's also very sensitive to magnetic field fluctuations so we put magnetic field shielding and biased magnetic fields around the vacuum. And then what else do we need to trap and we need laser cooling to cool it down and then of course we need a source of neutrally terbium or calcium and photo ionisation laser kicks an electron off the neutral source. To turn it into an island. So here's a picture in of the trap that I showed you before this is the classic for a trap that's pretty popular among groups. And what's interesting about it is this radio frequency all RAF electrode pair and you think why do I need to put radio frequency to to trap in Iran and the answer is you can't actually make a three dimensional potential little so that's how we trap the UN in a electric potential mill. With static electric fields by the you know some of the fundamental questions of electrostatics so Wolfgang Pauli to determine that you could use radio frequency voltages to create a ponder motive force which is sort of a net inward force that's created by this R F A lecturer and here's a cool little video of an eye and bouncing around in. You know the profile view of that trap and it's oscillating at the two different frequencies I'm only showing the slow frequency here and then you there you can see sort of a cartoon picture of laser cooling and its extent of its oscillations will reduce over time the mechanical analogy that Wolfgang Paul uses in his Nobel paper is that of a ball on a saddle and the idea that if you put a ball on the saddle and spin the saddle fast enough the ball will not slide down any of the sides of the saddle. So we just looked at this trap here and now are looking along the axis of the for a trap and there are certainly some disadvantages which when it comes to scaling a trap like that you can see here there's only three segmented electrodes we use these electrodes to move and move on trap which moves the irons back and forth left and right there's also some difficulty in the lining these electrodes you know they're macro structures maybe the size of a couple millimeters and in the mid two thousand researchers at NIST determine that you could actually fold the structure as. Into a plane or structure and the word planner probably means something you know a lot in this building where people spend a lot of time working on silicon chips and it is enabled us to take some of the technologies from. Silicon chip manufacturing and utilize them to our benefit so how do we do that we've this is a cartoon drawing of one of our chips and what the planners ation does is it allows us to make many many electrodes these short segment electrodes which we can use to move the on back and forth and there you see the R.F. potential that I discussed before and here you can see sort of the layering build up of the of the silicon ion trap chip Here's a colored in picture of one of the chips that we fabricated here at the nanotech research center there's hardly Hayden who's our chief bad guy who made this trap and here's a zoomed out picture of it it's one of our older traps the Gen three trap and you can see the slot in the center you can't really see the small lecture it's here. In here a lot of capacitors which we use to filter out noise pick up on these on these electrodes and wire bonds out to the external world and I'll talk a little later about how we've modified this design over the years to remove some of these capacitors or make them less bulky and then move the wire bombs away so we have more access for lasers and other techniques that we've used to improve this design so here is a video from two thousand and eleven two videos which show you sort of what you can do with these traps and it's pretty awesome this is a chain of islands individual islands sort of getting merge and split back and forth and therefore wrestling with the cooling laser light and you know someone who goes and sees this every single day it kind of loses its alert maybe a little bit but if you it's pretty wild to think about that you're looking at an individual particle on your screen. In here getting pushed back and forth and controlled it's location being controlled really well and here on the bottom you can see as we load it chain up the ions are coming up from the neutral oven source we talked about for the ionized and then getting transported over there to build the chain. OK so now we have ions in there in the trap but this talk is about quantum computation so how do we make superposition how do we make entanglement with these individual and so here's an energy level diagram of you terbium and there are two relevant transitions I'll talk a bit about today there's some added complications as well but the ones I'll focus on are this transition at three hundred sixty nine point five nanometers and this one at twelve point six you get hurt in the microwave band and here we have two energy levels of very terbium mine which correspond towards zero and one quantum states of our quantum bit. And this top transition is our detection transition it's how we flip the coin or measure what state our quantum bit is in and then this is our gate transition and if we shine resonant radiation here we can switch the state of our quantum bit from zero to one. So how do we figure out whether our quantum bits in the zero one what we do is we shine through in a sixty nine then a meter light onto our own and if it's the atom is projected into the one state it will scatter photons which we can collect on a P.M.T. for the multiplier two and we'll get twenty photon counts histogram like that if we repeat it over and over again on the contrary if the atoms in the zero state and we shine the same light this light is no longer resonant with this transition and we won't get any photon counts so you can see how we can easily sort of distinguish between these two states by saying if we have more than eight photons or so on our P.M.T. the Ion was one and if we had less than a photons and zero. OK so now we know how to read out our quantum bit. So how do we actually. Change the state of our quantum bit we use resonant microwaves to drive transitions so this is a microwave horn which is a cartoon drawing at twelve point six gigahertz to drive the state of our quantum bit back and forth Alternatively we can use two laser beams that are detuned by this twelve point six you get Hertz to drive the same transition and what will get here is sort of a signature of quantum mechanics this is called a Robbie flopping curve where the the state of the eye and goes from zero to one and back and forth. Just like the cartoon. So what's illustrate a little bit about superposition which is what we talked about before so we here at this point on the curve we know what are our history to look like it'll it'll be we'll get almost no counts because the items in the zero state. And at the top will get a bunch of twenty photon counts or so because I was in the one state but what about here on the raw beef up in curve and this is sort of where the power of quantum computation comes in is half the time we're going to get of a bright histogram and half the time going to get a dark histogram and that's the state described here where each. State is each level is described by this probability coefficient So that's something that you really do not get classically. So let's return to our trapping out of apparatus I've replaced the old classic trap with one of our G.'s here I had micro fabricated traps now we're strapping in terbium. But we've got to add a bunch of different things now we've got to add radio frequency electrode for confinement we've got to add one hundred diddle digital analog conversions to move ions back and forth with the outside electrodes we've got to add a big lens stack to collect light for detection to measure what state our quantum bit was in and we've got to add microwaves or gate lasers to perform quantum logic so this picture has gotten a little bit complex a. And what does it actually look like in a lab it's pretty wild. You got optical fibers going everywhere this is one half of one room that's filled with tons of equipment and here if you zoom in on one of our traps you can see the magnetic bias field you can see the lens stack to our P.M.T. you can see the digital analog converters coming into our vacuum chamber and the radio frequency electrodes. So that sort of brings me to the next point which is scaling and the purpose of scaling isn't necessarily to shrink the size of the equipment in the room but it's to get more quantum bits that we can control with higher fidelity and detect faster and with better detection fidelity and the technique that we've adopted at is to build integrated service a lecture traps which is to take some of the components I just talked about and smush them into our service electro trap and use micro fabrication as a tool for example we can replace the microwave horn with integrated waveguides into our micro into our our trap so we don't need a horn radiating onto our vacuum instead we just send microwave lines into our trap and can do. Quantum logic with the built in waveguides and this is something that we did in two thousand and thirteen so now highlight three of our most recent integrated trap chip trap designs some that we've done in-house some that we've done in partnership with Honeywell International and others which really try to solve some of the scaling problems and make life easier for the experimentalists So the first thing that we've worked on is trying to improve the detection issue and the the picture I just showed you you know in real life was a big one stack going into a mirror in a P.M.T. or onto a camera which is how we saw the ions moving back and forth before so in two thousand and eleven we said Well we're we're not really collecting very much light from the atom when we get. Twenty photon counts in two hundred or four hundred microseconds it's it takes quite a while to figure out what state are I in is in so what if we put a mirror onto our trap surface we can collect more light from from the eye and as we detect it and here's a cool video of an eye in transporting over the mirror that we put onto this trap and you can see as it surpasses the mirror we start to collect more light that's actually reflecting off the surface so this is one idea that we had to use integration of microfiber cation to maybe reduce the load and speed up this process so the integrated. Trap was it worked well but there's these funky electro designs and it's sort of difficult to manufacture so recently with partners at the friend Hoffer Institute as well as a group at the university we decided to replace the mirror with the fact of optics on the surface of the track. And here's a picture of the chap that I believe it was fabricated here and the mirrors and the colonnade and other diffract of optics were patterned in Germany was yeah so here's a picture of the track it's got the key component here the collimated which collimate some of the light from the eye and so that we can collect more this is really the name of the game and researchers at Griffith University using the strap were able to actually adjust the height of the eye and to get a great diffraction limited limited image of the eye and so which isn't really particularly useful but if you but you could add a couple to the light from the eye into a fiber but it's also very interesting to see that you could. Collect more light for faster detection. So the second idea we had was to take. The hundred digital analog conversion converters which are really bulky and this is sort of a picture of how we wire up wire. The one hundred channels from that card onto our trap chip used to move ions back and forth and this I mean there's so many wires here trying to get that all into a vacuum while keeping very high vacuum qualities a difficult task so what we decided to do was to put off the shelf. Digital analog converters integrated with the chip integrated with the ion trap chip into the vacuum and this way we could reduce the overhead of the the number of wires here and just replace it with the serial interface and you know add two channels you get forty more digital analog converters and instead of using a ninety six vacuum few things are only using nine vacuum Peters now. So here's a picture of some of the work done in Honeywell International where they took some off the shelf digital analog converters and actually DI capsulated them with acids to. Put onto a Rogers P.C.B. board and this is one side of the P.C.B. board on the other side is our trap chip where you can see in a nice compact package here and this is sort of another way that we've used this is necessary microfiber cation But you know try to scale up and reduce the overhead on the experimentalist and make things much more easy to work with. In the final trap that I'll talk a bit about today is called a ball grid or a trap and the purpose of this is to reduce the area of the trap itself. Instead of using those planar capacitors which took up a whole large portion of the trap here we can replace them instead with through substrate vias and capacitors there so now we move to wire bonds for a laser axis way down to interpose or in the trap chip area takes up a far smaller amount than it did before and this allows for tight laser focusing so you can hit one at a time do Gates on one at a time I've actually got a bum version of the strap here we can pass it around it's got some additional wire bond scratches on it but you can see what it. It's like in real life. And here's a picture of the trap here you can see the radio frequency electrode coming in here and here is a picture of some of the trench capacitors and the through substrate vias that we've used and the key takeaway here is we've taken this whole surface and reduced it down to a very small area here so that we can focus lasers more tightly and address Adams individually. So what we want to do with all this I mean this isn't just for the sake of what it is for the sake of making life easier but it's also about making a complex quantum system and the idea here is to smush all of these things together that we've built so we would add the gates region where we have tightly focused laser beams that I just discussed we have a detection reason we read out our quantum bits with diffract of optics we could have junctions which is a trap that we built in two thousand and thirteen here at Georgia Tech where you could rearrange your eye and chain and move them back and forth sort of like a register. And then if you really wanted you could integrate optics you know into the trap surface to do gates and we haven't really worked with that yet. OK So back to the outline. What we talked about thus far we talked about a little bit about quantum computing we talked about trap Dianne's and we talked about scaling but now I'd like to give you guys a and feel for where we're at in the field. You know it's going to take a large number of quantum bits to do an interesting algorithm. Unfortunately we're not quite there yet but we're we've been pushing the frontier doing cutting edge research on basic quantum algorithms and that sort of where we're at right now and here's sort of a path to where we've come from two thousand and eight all the way to now we started in two thousand and eight doing trap development here's a picture of the same junction it was one of our older ones yeah. Then we started doing single cubit control in two thousand and twelve two thousand and thirteen and then we started. Making scalable traps with integrated features and simultaneously working out a bit control three four five quantum bits and then now we're working on simple algorithms with two or three trapped ions. So the algorithm we've been working on lately is called the Bernstein Vasser Ani algorithm and how it works is sort of a guessing game or trying to figure out an unknown bit string ass and there's a black box Oracle and the Oracle gives you. Two So you were X. is the string that you input so you say to the Oracle I here's my bit string X. will you give me this this answer out X. two and the goal is to figure out what the hidden string is here so for example you could Querrey your Oracle with one zero zero and the if asked for a one one zero you would get out one and to determine S. precisely you need to run this three times once with one zero zero and then zero one zero zero zero one So it takes three runs of the algorithm to figure out a three bit string as a hidden string. Following this quantum circuit which I'm not really going to describe you can determine S. in a single query so it's a simple algorithm not really factoring large numbers but what it's doing is trying to figure out a show a quantum speed up on a small scale system one that we can hopefully expand later. So here's a picture in a paper that we published recently showing all of the gate laser pulses that is required to do this algorithm and each one of these purple bars represents a single cubit rotations seventeen of them this is an untangling operation in orange and it takes six hundred fifty gate laser pulses nine point eight milliseconds and nineteen transport operations to do this simple algorithm so what's my point here this is it we're working with three bits here but it's it's really difficult research there's lots of control that has to go in. There's lots of you know stabilization keeping the environment outside of our quantum bits and classically from the from this algorithm you gain one point one bit of information every time you run it quantum mechanically we showed that we can get one point one bits of information so a slight improvement over the classical or the right what's my point here is that this research is cutting edge but we still have a lot a lot of work to do to do really powerful calculations and that's something that we hope to be at the forefront of. So in summary. We've got quantum computers which can supplement classical computers to solve certain key algorithms the main one to take away one is factoring which is important to the intelligence community entanglement in superposition are the key components of a quantum computer which enable this type of speed up. A G.'s your I we use trapped. Their strong choice of cubit but scaling is difficult we've just started to work with short chains of three to five ons and to sort of scale up our focus has been on building integrated chip traps using micro fabrication to our advantage to bring things into the vacuum system itself and finally basic quantum algorithms with a few quantum bits are within our reach now. The speed up is nothing to write home about but hopefully within the next few years we can start expanding our systems and do really cool calculations. This is our team here I'd like to thank particularly Jason to me Adam Meyer and to Merrill who made some of the slides in this talk and thank you. Two mature superconductors in the. Simple energy level structures that resemble hydrogen when you take one electron away is sort of a criteria for us and what a good two level system isolated to level system that can represent a quantum bit well as your own one. Where you put the neutral the terbium are cast and. Yet it's unlike a metal of unsourced which we heat up with current to spew off as as a gas. It's not on the chip No it's below the chip and it comes through a hole. That gas comes through a hole into the yeah. Yeah. I didn't talk a bit about that it's a little bit more complicated there's a procedure called a moment Sorenson to keep the gate which we like to use but we actually use the motion of the atoms as a bus to to connect their internal logic states. And I can talk a little bit more about that later if you're interested in. Yeah. They can decode here there's heating which occurs on the motional say such a heat up if they're not cooled and they can actually leave the trap it's also just hard to control you know and laser beams that are directed at all the different islands have to have very precise frequency very precise phase to do quantum logic gates as have many other things you want to add to the list goes on and on to be ousted him. Yeah. Right so that's the sort of the the question it's not really a question it's the trade off in and doing these types of computation is that you can actually propagate your input which represents many states at once so you can so you can run many calculations in parallel but at the end it's going to collapse into one state and the trick to creating smart quantum algorithms that few people have determined is how to trade off these two things so that you can propagate through the calculation in parallel and still learn something about interesting about your your system with the collapsed measurement to some extent. Yeah for us decoherence is actually not a big problem. It's we have coherence times on the order of a second or two the superconducting cubits are the ones that have the coherence problems they do go here in there so our problem is more about getting lasers that can do coherent interactions and maintaining a static environment without magnetic field fluctuations. Yes' or anything else because well yeah. Sure. Yeah they superconductors tend to be much faster they can do their gates in seconds whereas it takes us microseconds or a few microseconds However they're decoherence is much more quick but if you look at the ratio of the number of coherent operations you can do to the coherence time it's similar for the two technologies.