The Quantum Pontiff

Count the Headlights on the Highway

Yep, it’s paper dance time. This one is less of a dance and more of a shuffle:

arXiv:0808.0174 (scirate)

Title: Simon’s Algorithm, Clebsch-Gordan Sieves, and Hidden Symmetries of Multiple Squares
Author: D. Bacon

Abstract: The first quantum algorithm to offer an exponential speedup (in the query complexity setting) over classical algorithms was Simon’s algorithm for identifying a hidden exclusive-or mask. Here we observe how part of Simon’s algorithm can be interpreted as a Clebsch-Gordan transform. Inspired by this we show how Clebsch-Gordan transforms can be used to efficiently find a hidden involution on the group G^n where G is the dihedral group of order eight (the group of symmetries of a square.) This problem previously admitted an efficient quantum algorithm but a connection to Clebsch-Gordan transforms had not been made. Our results provide further evidence for the usefulness of Clebsch-Gordan transform in quantum algorithm design.

Yet another step in my ever increasing quest to become a lone author lunatic (er, lunatic!) of quant-ph. Next step is obviously Microsoft Word only arXiv postings.

Bonus points for identifying the song, of course.

Comments

  1. #1 Geordie
    August 5, 2008

    tiny dancer. do my bonus points stack with my free beer?

  2. #2 Ian Durham
    August 5, 2008

    Sorry Dave, I’ve already got that title all wrapped up, thanks.

  3. #3 Dave Bacon
    August 6, 2008

    One beer owed to Geordie, check.

    Now take your protein pills and put your helmet on.

  4. #4 Ian Durham
    August 6, 2008

    Space Oddity. David Bowie. Figures the reigning LAL (lone author lunatic) would know this. And know the reigning LAL has it stuck in his head.

  5. #5 Dave Bacon
    August 6, 2008

    Sweet, Ian has also won a beer (I recommend Lagunitas IPA, but that’s just my personal bias.)

    No more convenience stores, Ian, say hello to stars.

The site is undergoing maintenance presently. Commenting has been disabled. Please check back later!