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Quantum Physics
Title: Adiabatic Quantum Computation is Equivalent to Standard Quantum Computation
Authors: Dorit Aharonov, Wim van Dam, Julia Kempe, Zeph Landau, Seth Lloyd, Oded Regev
(Submitted on 18 May 2004 (v1), last revised 26 Mar 2005 (this version, v2))
Abstract: Adiabatic quantum computation has recently attracted attention in the physics and computer science communities, but its computational power was unknown. We describe an efficient adiabatic simulation of any given quantum algorithm, which implies that the adiabatic computation model and the conventional quantum computation model are polynomially equivalent. Our result can be extended to the physically realistic setting of particles arranged on a two-dimensional grid with nearest neighbor interactions. The equivalence between the models provides a new vantage point from which to tackle the central issues in quantum computation, namely designing new quantum algorithms and constructing fault tolerant quantum computers. In particular, by translating the main open questions in the area of quantum algorithms to the language of spectral gaps of sparse matrices, the result makes these questions accessible to a wider scientific audience, acquainted with mathematical physics, expander theory and rapidly mixing Markov chains.
Comments: 30 pages, updated version
Subjects: Quantum Physics (quant-ph)
Journal reference: SIAM Journal of Computing, Vol. 37, Issue 1, p. 166-194 (2007), conference version in Proc. 45th FOCS, p. 42-51 (2004)
Cite as: arXiv:quant-ph/0405098v2
Submission history From: Oded Regev [view email]
Has anyone read this one ? I enjoyed ToEngineerIsHuman a lot, and Petroski comes recommended by no less than JerryWeinberg. I'm hijacking this title to serve as a category tag, but it's oh so fitting. -- LaurentBossavit
Although I haven't read this one, I have read and enjoyed ToEngineerIsHuman, ThePencil?, and TheEvolutionOfUsefulThings by HenryPetroski? -- DavidEllis
Are all three titles by HenryPetroski?? I have not read ThePencil? but I do know a relatively long essay called "I Pencil" on the "invisible hand" that brings the surprisingly complex materials required for a common graphite pencil together. --GeorgeBrower
Host: 74.125.224.135 rDNS = 74.125.224.135 KeithBraithwaite has read it, and found it a tad of a letdown. I'm not that big a fan of Petroski, it seems to me that SamualFlorman?, DonaldNorman and WitoldRybczynski between them cover a lot of the same ground, and do it better.
One thing that has stuck with me from reading it, though, is how to recognise the location of the stacks in older library buildings: for a long time (and until quite recently) stacks were always built with very narrow floor-to-ceiling windows, giving a distintive almost Gothic appearance to those buildings.