Loughborough University
Leicestershire, UK
LE11 3TU
+44 (0)1509 263171
Loughborough University

Loughborough University Institutional Repository

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, Sergey
Nori, 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)

Files associated with this item:

File Description SizeFormat
0701161v1.pdfAccepted version563.83 kBAdobe PDFView/Open


SFX Query

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.