First Ever Quantum Calculation

By Alex in Everything Else on Dec 14, 2007 at 4:10 am

The problem to be solved was simple: "what are the prime factors of the number 15." But it was the method that was neat: physicists did it with quantum calculation!

Professor Andrew White, from UQ’s Centre for Quantum Computer Technology together with colleagues from the University of Toronto in Canada, said by manipulating quantum mechanically entangled photons – the fundamental particles of light – the prime factors of the number 15 were calculated.

“Prime numbers are divisible only by themselves and one, so the prime factors of 15 are three and five,” Professor White said.

“Although the answer to this problem could have been obtained much more quickly by querying a bright eight-year-old, as the number becomes bigger and bigger the problem becomes more and more difficult.

“What is difficult for your brain is also difficult for conventional computers. This is not just a problem of interest to pure mathematicians: the computational difficulty of factoring very large numbers forms the basis of widely used internet encryption systems.”

Ben Lanyon, UQ doctoral student and the research paper’s first author, said calculating the prime factors of 15 was a crucial step towards calculating much larger numbers, which could be used to crack cryptographic codes that are unbreakable using conventional computers.

Link | Wikipedia article about quantum computer


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  1. ted
    Dec 14th, 2007 at 7:44 am

    Shouldn’t the question be “what *are* the prime factors”?

  2. Johan Paulsson
    Dec 14th, 2007 at 10:32 am

    Here’s the article for those that are interested:
    http://arxiv.org/abs/0705.1398

    Also, the title should more go like this:
    “First Ever Complete Implementation of Shor’s Algorithm”
    or something in that direction. In fact I’m not even sure that is true but the paper is neat, check it out.

  3. orion
    Dec 14th, 2007 at 3:13 pm

    two is also a prime number, professor brainiac. looks like you need to go back to your teeny-tiny drawing board.

  4. Chad Cloman
    Dec 14th, 2007 at 3:27 pm

    Despite what the article says, this is not the first time a quantum computer has factored a number via Shor’s algorithm.

    “2001 – First execution of Shor’s algorithm at IBM’s Almaden Research Center and Stanford University. The number 15 was factored using 1018 identical molecules, each containing seven active nuclear spins.”

    From this link:
    http://en.wikipedia.org/wiki/Timeline_of_quantum_computing

    link

  5. Alex
    Dec 14th, 2007 at 3:47 pm

    Ah, yes – thank you, ted. When they come up with quantum spell and grammar check, I’ll be the first to sign up.


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