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Theres now proof that quantum computers can outperform classical machines

The hypearound quantum computing is real. But to fully realize the promise of quantum computing, itll still take a few years of research and scientific breakthroughs. And indeed, it still remains to be seen if quantum computers will ever live up to the hype. Today, though, we got mathematical proof that there are reallycalculations that quantum computers will definitely be able to perform faster than any classical computer.
What we have today are quantum computers with a very limited number of qubits and short coherence time. Those limitationsput a damper on the amount of computation that you can perform on those machines, but they still allow for some practical work. Unsurprisingly, researchers are very interested in seeing what they can do with the current set of available machines. Because they have such short coherence time before the system becomes chaotic and useless for any computations, you can only perform a relatively small number of operations on them. in quantum computing speak, thats depth, and todays systems are considered shallow.
Science today published a paper(Quantum advantage with shallow circuits) bySergey Bravyi of IBM Research, David Gosset of the University of Waterloos Institute for Quantum Computing, and Robert Konig of the Institute for Advanced Study and Zentrum Mathematik, Technische Universitat Munchen. In this paper, the researchers prove that a quantum computer with a fixed circuit depth is able to outperform a classical computer thats tackling the same problem because the classical computer will require the circuit depth to grow larger while it can stay constant for the quantum computer.
Theres now proof that quantum computers can outperform classical machines

There is very little thats intuitive about quantum computing, of course, but its worth remembering that quantum computers are very different from classical computers.
Quantum circuits are not just basically the same but different from classical circuits, IBMQ Ecosystem and Strategy VP Bub Sutor told me. Classic circuits, []they arebits, they arezeros and ones, andtheres binary logic, ANDs, ORs, NOTsand things like.Thevery, very basic gate sets,the types of operationsyou can do in quantum are different. When these qubitare actually operating,withthis notion of superposition you have much much more to operate elbow room, not justtwo bits. You actually have a tremendous amount of more room here. And its that additional room you get because qubits can encode any number and not just zeros and ones, that allows them to be more powerful than a classical computer in solving the specific kind of problem that the researchers tackled.
The question the researchers here asked was if constant-depth quantum circuits can solve a computational problem that constant-depth classical circuits cannot? The problem they decided to look at is a variation on the well-known Bernstein-Vazirani problem (well-known among quantum computing wonks, that is). You dont need to jump into the details here, but the researches show that even a shallow quantum computer can easily outperform a classical computer in solving this problem.
Theres now proof that quantum computers can outperform classical machines

We tried to understand what kinds of things we can do with a shallow quantum circuit and looked for an appropriate model for a type of computation that can be done on a near-term quantum device, IBM ResearchsSergey Bravyi told me. What our result says is that there are certain computational problems for which you can solve on a quantum computer with a constant depth. So as you increase the number of input bits, the depth of the quantum algorithm that solves the problem remains constant. A constant depth classical computer can not solve this problem, though.
Sutor was very quick to note that we shouldnt over hype the current state of quantum computing or this result, though. We try to be extremely cautious and honest in terms of saying this is what quantum computers can do today versus what classical computers will do, he told me. And we dothis foravery specific reason in that thatthisis something that will play out over the next three to five years and decades probably decades. But what this result shows is that its worth exploring quantum algorithms.
As Sutor noted, there is still this core question, which is, why are you bothering?' Todays result should put that question to rest, but Sutor still stressed that he tries to stay grounded and never says quantum computing will do something until it does. Theres a strategy through this, but theres going to be little left turns and right turns along the way.
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