Everyone is always talking about time travel. But if you ask me, the best vacation is to stop the clock for a while. Who of us is unable to take a five or six month break after 2020 before we agree to a whole new calendar year? It’s not you 2021; It is us
Unfortunately, this isn’t a Rick and Morty episode, so we can’t stop time until we’re ready to move on.
But sometimes our computers can
A pair of studies on quantum algorithms from an independent research team focused on both arXiv preprint servers, basically about the same thing: the use of smart algorithms to solve equations. Nonlinear differential
And if you squint them through the lens of Speculative science You might conclude that it is a formula for computers that can generally be done. Stop time To solve problems that require close-up solutions
Linear equations are a mixture of classic calculations. We process numbers and use basic binary calculations to determine them. What will happen next In linear or sequential forms using classical algorithms. But the nonlinear differential equation is more difficult. Often too hard or not working at all, even the most powerful classic computers can solve problems.
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The hope is that one day, quantum computers will break through barriers and make these difficult problems seem like ordinary computation.
When computers solve these sorts of problems, they̵7;ll predict the future.In general, today’s AI, running on a classic computer, can look at a picture of a ball in mid-air and provide enough information to predict where the ball will go. You can add a few more balls to the equation, and the computer will still get it right most of the time.
But when you reach a point where the magnitude of the interaction creates feedback loops, such as when observing particle interactions, or, for example, if you throw a certain amount of glitter into the air, a classic computer will not have an omni. To deal with that level of physics
As quantum researcher Andrew Shields told Quanta magazine, it’s why we can’t predict the weather. There are too many particle interactions for a typical old computer to follow.
But quantum computers don’t follow the binary rules of classical computers, not just zigzag. But can also zig while zigzag or not at the same time. For our purposes, this means that they can solve difficult problems such as “Where will every spark in. 02 seconds ”or“ What is the best route for this traveling salesperson? ”
To understand how we get from here to there. (And what it means) We have to look at the documents mentioned above. The first is from the University of Maryland. You can check it out here. But the parts that we are not focusing on right now are:
In this article, we present the Carleman quantum linear algorithm (QCL) for the class of Quadratic non-linear differential equation Compared to the previous method, our algorithm Improved complexity from T’s exponential dependence to almost square dependence. Under the condition R <1
Take a look at the second piece of paper. This person from the team at MIT:
This paper shows that, in principle, quantum computers can achieve an exponential advantage over classical computers in solving nonlinear differential equations. The main potential advantage of quantum nonlinear equation algorithms over classical algorithms is logarithmic scaling in the dimensions of the space. The solution makes it an option. That is natural for high dimensional problems such as equations Navier-Stokes And other non-linear liquids, plasmas, etc ..
Both papers are interesting. (You should read it later!) But I run the risk of overdoing it by saying: They detail how we can create algorithms for quantum computers to solve those really difficult problems.
So what does that mean? We’ve all heard how quantum computers can solve drug discovery or giant math problems. But where did the tire hit the road? What I’m saying is that classic computers give us iPhones, drones, and video games.What’s this going to do?
It could allow quantum computers to freeze time. Now, as you can imagine, this doesn’t mean that we all get a remote control with a pause button that we can use to take a break from controversy like the Adam Sandler movie “Click.
What it means is that a quantum computer powerful enough that runs the big, heavyweight algorithms developed today might one day be able to Functionally evaluating particle-level physics with sufficient speed and precision so that passing time is not a factor in the operation..
So theoretically, if someone in the future throws a glitter at you and you have a large number of quantum-powered defense drones, they can react instantly by positioning them between you and the particles they are coming from. Glitter explosion to protect you Or, for an uninteresting use case, you can model and forecast global weather patterns with near-perfect accuracy over very long periods of time.
Ultimately, this means that a quantum computer can one day operate in active idle times, solving the little limited time problems that arise.
H / t: Max G Levy Quanta Magazine
Published January 13, 2021 – 19:46 UTC.