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      Assessment of Quantum Annealing for the Construction of Satisfiability Filters

      1 , 1 , 2 , 1 , 3 , 1 , 4
      SciPost Physics
      Stichting SciPost

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          Abstract

          Satisfiability filters are a new and promising type of filters for set membership testing. In order to construct satisfiability filters, it is necessary to find disparate solutions to hard random k -SAT problems. This paper compares simulated annealing, simulated quantum annealing and WalkSAT, an open-source SAT solver, in terms of their ability to find such solutions. The results indicate that solutions found by simulated quantum annealing are generally less disparate than solutions found by the other solvers and therefore less useful for the construction of satisfiability filters.

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          The operated Markov´s chains in economy (discrete chains of Markov with the income)

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            A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem

            , , (2001)
            A quantum system will stay near its instantaneous ground state if the Hamiltonian that governs its evolution varies slowly enough. This quantum adiabatic behavior is the basis of a new class of algorithms for quantum computing. We test one such algorithm by applying it to randomly generated, hard, instances of an NP-complete problem. For the small examples that we can simulate, the quantum adiabatic algorithm works well, and provides evidence that quantum computers (if large ones can be built) may be able to outperform ordinary computers on hard sets of instances of NP-complete problems.
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              The complexity of theorem-proving procedures

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                Author and article information

                Journal
                SciPost Physics
                SciPost Phys.
                Stichting SciPost
                2542-4653
                2017
                April 07 2017
                : 2
                : 2
                Affiliations
                [1 ]Swiss Federal Institute of Technology in Zurich (ETH)
                [2 ]RIKEN
                [3 ]Mindi Technologies Ltd.
                [4 ]Microsoft
                Article
                10.21468/SciPostPhys.2.2.013
                3046a9a4-2dc3-4cfb-9c86-034f94b232e5
                © 2017

                This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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                Physics
                Physics

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