### 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 language | English (US) |
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Title of host publication | Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS |

Pages | 42-51 |

Number of pages | 10 |

State | Published - 2004 |

Event | Proceedings - 45th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2004 - Rome, Italy Duration: Oct 17 2004 → Oct 19 2004 |

### Other

Other | Proceedings - 45th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2004 |
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Country | Italy |

City | Rome |

Period | 10/17/04 → 10/19/04 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS*(pp. 42-51)

**Adiabatic quantum computation is equivalent to standard quantum computation.** / Aharonov, Dorit; Van Dam, Wim; Kempe, Julia; Landau, Zeph; Lloyd, Seth; Regev, Oded.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS.*pp. 42-51, Proceedings - 45th Annual IEEE Symposium on Foundations of Computer Science, FOCS 2004, Rome, Italy, 10/17/04.

}

TY - GEN

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

UR - http://www.scopus.com/inward/citedby.url?scp=17744390031&partnerID=8YFLogxK

M3 - Conference contribution

SP - 42

EP - 51

BT - Proceedings - Annual IEEE Symposium on Foundations of Computer Science, FOCS

ER -