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Rev. Mod. Phys. 80, 1061–1081 (2008)

Colloquium: Quantum annealing and analog quantum computation

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Arnab Das* and Bikas K. Chakrabarti
Theoretical Condensed Matter Physics Division and Centre for Applied Mathematics and Computational Science, Saha Institute of Nuclear Physics, 1/AF, Bidhannagar, Kolkata-700064, India

Published 5 September 2008

The recent success in quantum annealing, i.e., optimization of the cost or energy functions of complex systems utilizing quantum fluctuations is reviewed here. The concept is introduced in successive steps through studying the mapping of such computationally hard problems to classical spin-glass problems, quantum spin-glass problems arising with the introduction of quantum fluctuations, and the annealing behavior of the systems as these fluctuations are reduced slowly to zero. This provides a general framework for realizing analog quantum computation.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/RevModPhys.80.1061
DOI:
10.1103/RevModPhys.80.1061
PACS:
02.10.Ox, 02.60.Pn, 02.70.Ss, 03.65.Xp

*arnab.das@saha.ac.in

bikask.chakrabarti@saha.ac.in