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 Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/19903

 Title: Modeling an adiabatic quantum computer via an exact map to a gas of particles Authors: Zagoskin, Alexandre M.Savel'ev, SergeyNori, Franco Issue Date: 2007 Publisher: © American Physical Society Citation: ZAGOSKIN, A.M., SAVEL'EV, S. and NORI, F., 2007. Modeling an adiabatic quantum computer via an exact map to a gas of particles. Physical Review Letters, 98, 120503. Abstract: We map adiabatic quantum evolution on the classical Hamiltonian dynamics of a 1D gas (Pechukas gas) and simulate the latter numerically. This approach turns out to be both insightful and numerically efficient, as seen from our example of a CNOT gate simulation. For a general class of Hamiltonians we show that the escape probability from the initial state scales no faster than |\dot{\lambda}|^{\gamma}, where |\dot{\lambda}| is the adiabaticity parameter. The scaling exponent for the escape probability is \gamma = 1/2 for all levels, except the edge (bottom and top) ones, where \gamma <~1/3. In principle, our method can solve arbitrarily large adiabatic quantum Hamiltonians. Description: This article was published in the journal, Physical Review Letters [© American Physical Society] and the definitive version is available at: http://dx.doi.org/10.1103/PhysRevLett.98.120503 Sponsor: This work was supported by NSA, LPS, ARO, NSF grant No. EIA-0130383, JSPS-RFBR 06-02-91200, MEXT Grant-in-Aid No. 18740224, EPSRC via No. EP/D072581/1 and the NSERC Discovery Grants Program (Canada) Version: Accepted for publication DOI: 10.1103/PhysRevLett.98.120503 URI: https://dspace.lboro.ac.uk/2134/19903 Publisher Link: http://dx.doi.org/10.1103/PhysRevLett.98.120503 ISSN: 0031-9007 Appears in Collections: Published Articles (Physics)

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