Adiabatic quantum computation is equivalent to standard quantum computation

Dorit Aharonov*, Wim Van Dam, Julia Kempe, Zeph Landau, Seth Lloyd, Oded Regev

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

114 Scopus citations

Abstract

The model of adiabatic quantum computation has recently attracted attention in the physics and computer science communities, but its exact computational power has been unknown. We settle this question and describe an efficient adiabatic simulation of any given quantum algorithm. This implies that the adiabatic computation model and the standard quantum circuit model are polynomially equivalent. We also describe an extension of this result with implications to physical implementations of adiabatic computation. We believe that our result highlights the potential importance of the adiabatic computation model in the design of quantum algorithms and in their experimental realization.

Original languageAmerican English
Pages (from-to)42-51
Number of pages10
JournalProceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
StatePublished - 2004
EventProceedings - 45th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2004 - Rome, Italy
Duration: 17 Oct 200419 Oct 2004

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