TY - JOUR
T1 - Adiabatic quantum computation is equivalent to standard quantum computation
AU - Aharonov, Dorit
AU - Van Dam, Wim
AU - Kempe, Julia
AU - Landau, Zeph
AU - Lloyd, Seth
AU - Regev, Oded
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=17744390031&partnerID=8YFLogxK
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AN - SCOPUS:17744390031
SN - 0272-5428
SP - 42
EP - 51
JO - Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
JF - Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS
T2 - Proceedings - 45th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2004
Y2 - 17 October 2004 through 19 October 2004
ER -