Enlarge / Google’s Sycamore processor.
In 2019, Word was excluded that Google-built quantum computers performed calculations they claimed to be virtually impossible to replicate on supercomputing hardware. It turned out to be completely incorrect, as Google neglected to consider the storage available on the supercomputer. If it was included, the quantum computer lead would shrink in just a few days.
However, adding just a handful of qubits will reestablish a large lead in quantum computers. But recently, a draft manuscript pointing out important facts was published on arXiv. Google’s claim relied on a comparison with a very specific approach to performing calculations on standard computing hardware. There are other ways to perform calculations, but this paper suggests that one of them can actually be used by a supercomputer to stay ahead of its quantum competitors.
Multiple roads to random
The calculations performed by Google were specially designed to be difficult to simulate on a regular computer. Set the 54 qubits of the Sycamore processor to a random state so that quantum interference between adjacent qubits affects the passage of time in the system. After a short interval, the hardware began repeatedly measuring the state of the qubit. A series of random bits were generated for each individual measurement, making Sycamore a very expensive random number generator. However, with sufficient measurements, the specific pattern produced by quantum interference becomes apparent.
Now that we understand this law of quantum interference, we can also calculate the patterns that should be found in random numbers generated by Sycamore. However, performing these calculations is very computationally expensive, and each time you add a qubit to your system, it is costly. Google estimates that it will take an unrealistically long time to perform these calculations on the world’s most advanced supercomputers.
One flaw in this discussion pointed out early in the process was that Google didn’t consider storage connected to the world’s largest supercomputer. However, the reality remains that these calculations are extremely difficult with traditional computing hardware.
The new manuscript focuses on these calculations, which are an important aspect of the phrase. Google has chosen a very specific method of calculating the expected behavior of the processor, but there are other ways to do the equivalent. In the meantime, several options have been considered to improve performance. Currently, Feng Pan, Keyang Chen, and Pan Zhang describe specific ways to enable GPU-based clusters to produce comparable output in just 15 hours. They estimate that they perform better than the Sycamore quantum processor when run on major supercomputers.
Some brief math explanations
There are several ways to see what Pan, Chen and Zhang have achieved. Try three of them and gradually deepen your math.
The easiest way to display this is in terms of the output provided by Sycamore. Measuring the qubit state of the Sycamore processor individually produced a truly random string of 1s and 0s, but a sufficient measurement of the single initial state of the processor reveals the pattern. Setting up a classical calculation that summarizes Sycamore’s physics yields the same level of randomness and the same pattern.
The new paper describes how to trade off some of the calculated fidelity of processor behavior, but the process gets much faster computations. In other words, the new calculations do not accurately reproduce Sycamore’s behavior, but they still generate patterns and underlying randomness and can be completed much faster.
That is one of the explanations. Option 2 to understand this involves considering how the start state of the Sycamore processor changes to the state at the time of measurement. Multiple possible paths reach it, and since this is a quantum system, we will explore them all. To get an accurate model of the output of a Sycamore processor, you need to look at every path, which is very computationally expensive. Pan, Chen, and Zhang have found a way to limit the paths displayed to make the computation easier to handle while achieving comparable output.
Those who want to avoid math should skip to the next section header. In the actual calculation method, the interaction of qubits in Sycamore is described as a 3D tensor network, and the tensor determines the relationship between the properties of the qubits. The algorithm then simplifies this by disconnecting some of the network connections. Researchers describe this as doing the equivalent of drilling a three-dimensional hole in a network.
Each time you drill a hole, the fidelity of the calculation is halved. However, this makes the fidelity fully adjustable. Just by limiting the number of holes to drill, you can fully reproduce the behavior of Sycamore. The mathematics of where these holes were made in the network was determined by the physical structure of the Sycamore chip itself.
The resulting contract tensor network was very easy to model, but researchers had to break it down into subtasks that could be stored on the system at work. They then used an algorithm to model the behavior of a smaller qubit network on Sycamore and show that it produces accurate results within the limits of fidelity.
The mention sources can contact us to remove/changing this article
What Are The Main Benefits Of Comparing Car Insurance Quotes Online
LOS ANGELES, CA / ACCESSWIRE / June 24, 2020, / Compare-autoinsurance.Org has launched a new blog post that presents the main benefits of comparing multiple car insurance quotes. For more info and free online quotes, please visit https://compare-autoinsurance.Org/the-advantages-of-comparing-prices-with-car-insurance-quotes-online/ The modern society has numerous technological advantages. One important advantage is the speed at which information is sent and received. With the help of the internet, the shopping habits of many persons have drastically changed. The car insurance industry hasn't remained untouched by these changes. On the internet, drivers can compare insurance prices and find out which sellers have the best offers. View photos The advantages of comparing online car insurance quotes are the following: Online quotes can be obtained from anywhere and at any time. Unlike physical insurance agencies, websites don't have a specific schedule and they are available at any time. Drivers that have busy working schedules, can compare quotes from anywhere and at any time, even at midnight. Multiple choices. Almost all insurance providers, no matter if they are well-known brands or just local insurers, have an online presence. Online quotes will allow policyholders the chance to discover multiple insurance companies and check their prices. Drivers are no longer required to get quotes from just a few known insurance companies. Also, local and regional insurers can provide lower insurance rates for the same services. Accurate insurance estimates. Online quotes can only be accurate if the customers provide accurate and real info about their car models and driving history. Lying about past driving incidents can make the price estimates to be lower, but when dealing with an insurance company lying to them is useless. Usually, insurance companies will do research about a potential customer before granting him coverage. Online quotes can be sorted easily. Although drivers are recommended to not choose a policy just based on its price, drivers can easily sort quotes by insurance price. Using brokerage websites will allow drivers to get quotes from multiple insurers, thus making the comparison faster and easier. For additional info, money-saving tips, and free car insurance quotes, visit https://compare-autoinsurance.Org/ Compare-autoinsurance.Org is an online provider of life, home, health, and auto insurance quotes. This website is unique because it does not simply stick to one kind of insurance provider, but brings the clients the best deals from many different online insurance carriers. In this way, clients have access to offers from multiple carriers all in one place: this website. On this site, customers have access to quotes for insurance plans from various agencies, such as local or nationwide agencies, brand names insurance companies, etc. "Online quotes can easily help drivers obtain better car insurance deals. All they have to do is to complete an online form with accurate and real info, then compare prices", said Russell Rabichev, Marketing Director of Internet Marketing Company. CONTACT: Company Name: Internet Marketing CompanyPerson for contact Name: Gurgu CPhone Number: (818) 359-3898Email: [email protected]: https://compare-autoinsurance.Org/ SOURCE: Compare-autoinsurance.Org View source version on accesswire.Com:https://www.Accesswire.Com/595055/What-Are-The-Main-Benefits-Of-Comparing-Car-Insurance-Quotes-Online View photos
to request, modification Contact us at Here or [email protected]