### Abstract

We consider the effects of decoherence on Landau-Zener crossings encountered in a large-scale adiabatic-quantum-computing setup. We analyze the dependence of the success probability-i.e., the probability for the system to end up in its new ground state-on the noise amplitude and correlation time. We determine the optimal sweep rate that is required to maximize the success probability. We then discuss the scaling of decoherence effects with increasing system size. We find that those effects can be important for large systems, even if they are small for each of the small building blocks.

Original language | English |
---|---|

Article number | 052330 |

Journal | Physical Review A - Atomic, Molecular, and Optical Physics |

Volume | 74 |

Issue number | 5 |

DOIs | |

Publication status | Published - 27 Nov 2006 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics
- Physics and Astronomy(all)

### Cite this

*Physical Review A - Atomic, Molecular, and Optical Physics*,

*74*(5), [052330]. https://doi.org/10.1103/PhysRevA.74.052330

**Decoherence in a scalable adiabatic quantum computer.** / Ashhab, Sahel; Johansson, J. R.; Nori, Franco.

Research output: Contribution to journal › Article

*Physical Review A - Atomic, Molecular, and Optical Physics*, vol. 74, no. 5, 052330. https://doi.org/10.1103/PhysRevA.74.052330

}

TY - JOUR

T1 - Decoherence in a scalable adiabatic quantum computer

AU - Ashhab, Sahel

AU - Johansson, J. R.

AU - Nori, Franco

PY - 2006/11/27

Y1 - 2006/11/27

N2 - We consider the effects of decoherence on Landau-Zener crossings encountered in a large-scale adiabatic-quantum-computing setup. We analyze the dependence of the success probability-i.e., the probability for the system to end up in its new ground state-on the noise amplitude and correlation time. We determine the optimal sweep rate that is required to maximize the success probability. We then discuss the scaling of decoherence effects with increasing system size. We find that those effects can be important for large systems, even if they are small for each of the small building blocks.

AB - We consider the effects of decoherence on Landau-Zener crossings encountered in a large-scale adiabatic-quantum-computing setup. We analyze the dependence of the success probability-i.e., the probability for the system to end up in its new ground state-on the noise amplitude and correlation time. We determine the optimal sweep rate that is required to maximize the success probability. We then discuss the scaling of decoherence effects with increasing system size. We find that those effects can be important for large systems, even if they are small for each of the small building blocks.

UR - http://www.scopus.com/inward/record.url?scp=33751216859&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33751216859&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.74.052330

DO - 10.1103/PhysRevA.74.052330

M3 - Article

VL - 74

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 5

M1 - 052330

ER -