Showing posts with label Neven's law. Show all posts
Showing posts with label Neven's law. Show all posts

Saturday, September 21, 2019

GOOGLE CLAIMS QUANTUM SUPREMACY--THIS IS BIG!

Just six weeks ago I posted about Google quantum AI guru Hartmut Neven predicting that quantum computing would grow at an unheard-of doubly exponential rate, and that the long-sought benchmark of quantum supremacy would be reached sometime this year.

Quantum computer core
Credit: Flickr

True to Neven's predictions, word has filtered out that Google has submitted a scientific paper reporting the first demonstration of a quantum computer solving a problem that even the most powerful classical computer can't manage--the hallmark of quantum supremacy. Reportedly, the problem Google's 54-qubit computer solved in 200 seconds would have taken a supercomputer 10,000 years to do.

One caveat--the problem was a very specific task known to be particularly well suited to a quantum computer. Much more work is needed before quantum computers will be able to tackle a full range of real-world problems. However, those developments will almost certainly happen much sooner than most people imagine.

This milestone is important in itself, meaning that scientists in every field, cryptographers, AI researchers, etc., will soon be able to tackle tasks that were previously impossible. However, what really demands everyone's attention is that easily-missed prediction, now known as Neven's law, that progress in quantum computing is going to unfold at a doubly exponential rate.

"To our knowledge," the Google team writes, "this experiment marks the fi rst computation that
can only be performed on a quantum processor. Quantum processors have thus reached the regime of quantum supremacy. We expect their computational power will continue to grow at a double exponential rate."

You can get a sense of what this astonishing rate of change means in my earlier post, "Forget Moore's Law. Neven's Law Rules Now." The bottom line is that we can expect as much progress in quantum computing in the next five or six years as we've seen in the digital world over the past five or six decades. After that point, all bets are off. If you think that the digital revolution has been earth shaking, just wait for the quantum revolution.

As Nevens says, "It looks like nothing is happening, nothing is happening, and then whoops, suddenly you're in a different world."

Well, we're in that new world now. It's going to make words to describe the rate of change, such as "breathtaking," "jet propelled" or "explosive" seem far too slow.

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Robert Adler

Wednesday, July 31, 2019

FORGET MOORE'S LAW -- NEVEN'S LAW RULES NOW

Moore's law has had a pretty impressive run. For more than 40 years, Gordon Moore's prediction that the density of components in integrated circuits would double roughly every two years has held true. The result is that the microchips that run our digital world are 2-to-the-20th power, or several million times more powerful than anything that was available back then.

(In the late '60s, I wrote programs for the CDC 6600, then the most powerful supercomputer in the world. It churned out 3 million operations per second. The processor in a current iPhone performs more than 3 billion operations per second, and today's fastest supercomputer 122 quadrillion.)

By way of putting this exponential growth of computing power into perspective, imagine if you were a million times richer or a million times smarter than you were a few decades ago, and could expect to keep doubling your wealth or your smarts every two years. Not too shabby.

IBM Q Quantum Computer*
Credit: Lars Plougmann

But that's all so yesterday. Now, as the era of quantum computing surges into view, there's a new sheriff in town--Hartmut Neven--bringing us Neven's law.

Earlier this year, Neven, an economist, physicist and current head of Google's Quantum Artificial Intelligence lab, made the stunning observation that the power of quantum computers is growing not at an exponential rate, but at a doubly exponential rate. Rather than, for example, doubling ever two years, their power is doubling at a rate that itself doubles every two years.

That may not sound like a big difference. But to get a sense of what it means, check out the following table:

Step (n)       Exponential Growth               Doubly Exponential Growth
                    (2 to the n'th power)               (2 to the 2 to the n'th power)

    1                             2                                                         4
    2                             4                                                       16
    3                             8                                                     256
    4                           16                                                65,536
    5                           32                                    4,294,967,296
    6                           64                                       1.8  x 10^19 = 1,800,000,000,000,000,000

If Neven is right, the amount of progress that classical computing made over the last 40 years will be compressed into the next six years of quantum computing development. Or, as he describes it, "It looks like nothing is happening, nothing is happening, and then whoops, suddenly you're in a different world."

The tipping point that will notify us that we're in that different world will be quantum supremacy--the point at which a quantum computer can out-perform the most powerful classical computer. Since quantum computers are still in their infancy, you might think that will take a long time. Not so. Based on the explosive rate of progress in his lab and those of his competiors, Nevens thinks that will happen this year.**And, if progress in quantum computing does follow a doubly exponential curve as Nevens predicts, quantum computers will not just gradually outstrip classical computers; they will almost immediately leave them in the dust.

And it may not only be classical computers that are left wondering what just happened. As those of you who have been following developments in artificial intelligence (AI) know, some very smart people have been warning us about the risks of runaway AI--the emergence of a superhuman artificial intelligence (AGI) that could quickly build an even more intelligent system that could build a still more intelligent system etc. The result could be the emergence of an immensely powerful machine-or internet-based intelligence that might well not have our interests at heart.

Those dire warnings didn't take into account quantum AI which, as you recall, is the raisin d'etre of Neven's lab. If the exponential growth of AI based in classical computers presents us with a looming existential threat, what about the doubly exponential growth of quantum AI?

Remember that sequence: 4, 16, 256, 65536, 4294967296 . . .

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*To help keep track of the pace of progress in quantum computing, here's a milestone as of September, 2019, IBM's soon-to-be-available 53-qubit quantum computer:
https://techcrunch.com/2019/09/18/ibm-will-soon-launch-a-53-qubit-quantum-computer/ 

**And just to emphasize the rate of change Neven predicted, in mid-September, 2019, well before the end of the year, his lab has published a paper demonstrating quantum supremacy. A 54-qubit quantum computer in their lab took just 200 seconds to solve a problem that would take a supercomputer 10,000 years to do. You can read about it here.

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Robert Adler