New Quantum Computing Record Set By Recycled Photons
CelestialScience writes "A recycling technique has enabled a quantum computer to carry out a quantum calculation known as Shor's algorithm on a larger number than ever before. The benchmark algorithm exploits quantum mechanics to simplify the factorization of numbers into their prime components — a hard task for classical computers when the numbers get large. Until now, the largest number factorized using Shor's algorithm was 15. Now Anthony Laing at the University of Bristol, UK and colleagues report in Nature Photonics that they used a recycled photon to factorize 21 — still far too small and trivial to spook cryptographers, who rely on the difficulty of factorizing large numbers for their widely-used techniques. But a record nonetheless."
7*3. Nailed it!
Seen this before.
This stuff scales incredibly bad with time. Not even a hint of a "Moore's law" here. By now I doubt they will be able to factor 1000 before the end of the decade.
Most ACs are not even worth the keystrokes to insult them. Be generically insulted by this and ignored otherwise.
1001 is a much nicer number to factor anyway
Are photons that expensive that they need to be recycled? I can understand aluminum cans, but photons are taking it a bit far, I think.
If I can be modded down for being a troll, can I be modded up for being an orc, or a balrog?
Now we can have lectures about the sustainability of quantum computing and quantum computing goes green on an attempt to save the planet?
For all non-even numbers below 25, it's either prime or divisible by 3 (and since 25 is square, then for all numbers before 35 really)
As such, a quantum computer these days may as well always set the bottom bit in the answer to 1, and alternate randomly the second bit.
This won't impress the Babylonians until we get to 60 + 17.
15 is between 2^3 and 2^4. 21 is between 2^4 and 2^5. Next stop, 51!
Note that quantum computers have already been used to factor larger numbers. As TFA discusses and this preprint http://arxiv.org/abs/1111.3726 from about a year ago reports, there has been success factoring 143. But they didn't use Shore's algorithm but rather used an adiabatic algorithm http://en.wikipedia.org/wiki/Adiabatic_quantum_computation. TFA makes a slightly incorrect claim that the adiabatic quantum algorithm "unlike Shore's algorithm, is not mathematically guaranteed to provide faster performance for larger numbers." This is misleading: Shore's is known to provide a polynomial time solution to factoring, but this is only known to be faster than the best known classical algorithms. In this context, we still can't prove that factoring is hard in the sense of taking more than polynomial time on a classical computer. Such a result is strictly stronger than P != NP http://en.wikipedia.org/wiki/P_versus_NP_problem which is one of the biggest unsolved problems of mathematics today.
And why should I care?
Given the rapid advance in the field people relying on cryptography SHOULD actually be scared. There is no value in waiting until the horse has bolted before fixing the gate. In this case, new technology won't roll itself out overnight. Particularly at the government scale. Better start thinking seriously about how you might secure your data and communications now.
It's cool to watch this tech start at the beginning, and see that factorized number grow exponentially. It's like baby steps.