Modeling an adiabatic quantum computer

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dc.creatorZagoskin, A. M.
dc.creatorSavel'ev, S.
dc.creatorNori, Franco
dc.date2007-01-22
dc.date.accessioned2026-07-07T07:53:20Z
dc.date.available2026-07-07T07:53:20Z
dc.descriptionWe 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 |\dotλ|^γ, where |\dotλ| is the adiabaticity parameter. The scaling exponent for the escape probability is γ= 1/2 for all levels, except the edge (bottom and top) ones, where γ<~1/3. In principle, our method can solve arbitrarily large adiabatic quantum Hamiltonians.
dc.description8 pages 2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0701161
dc.identifierhttp://arxiv.org/abs/quant-ph/0701161
dc.identifierPhys. Rev. Lett. 98, 120503 (2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126216
dc.subjectQuantum Physics
dc.subjectStatistical Mechanics
dc.titleModeling an adiabatic quantum computer
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