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Quantum Annealing and Analog Quantum Computation

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arxiv 0801.2193 v3 pith:ZZMFZMXJ submitted 2008-01-15 quant-ph cond-mat.stat-mechphysics.comp-ph

classification quant-phcond-mat.stat-mechphysics.comp-ph
keywords quantumannealingfluctuationsproblemsanalogcomputationglassspin
verification ladder T0 review T1 audit T2 compute T3 formal

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We review here the recent success in quantum annealing, i.e., optimization of the cost or energy functions of complex systems utilizing quantum fluctuations. The concept is introduced in successive steps through the studies of mapping of such computationally hard problems to the classical spin glass problems. The quantum spin glass problems arise 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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Engineered dissipation for faster adiabatic state preparation

    quant-ph 2026-06 unverdicted novelty 7.0 of 10

    Engineered dissipation via a filtered reservoir relaxes leaked population during adiabatic state preparation, improving runtime scaling from O(Δ^{-2}) to O(Δ^{-1}) when relaxation strength greatly exceeds the minimum gap.

  2. Quantum bits with Josephson junctions

    quant-ph 2019-08 unverdicted

    A review chapter explaining how Josephson junctions are used to build quantum bits, their circuits, and their applications to quantum computing and quantum optics.

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