Double Occupancy Errors in Quantum Computing Operations: Corrections to Adiabaticity

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dc.creatorRequist, Ryan
dc.creatorSchliemann, John
dc.creatorAbanov, Alexander G.
dc.creatorLoss, Daniel
dc.date2004-09-04
dc.date.accessioned2026-07-07T03:00:18Z
dc.date.available2026-07-07T03:00:18Z
dc.descriptionWe study the corrections to adiabatic dynamics of two coupled quantum dot spin-qubits, each dot singly occupied with an electron, in the context of a quantum computing operation. Tunneling causes double occupancy at the conclusion of an operation and constitutes a processing error. We model the gate operation with an effective two-level system, where non-adiabatic transitions correspond to double occupancy. The model is integrable and possesses three independent parameters. We confirm the accuracy of Dykhne's formula, a nonperturbative estimate of transitions, and discuss physically intuitive conditions for its validity. Our semiclassical results are in excellent agreement with numerical simulations of the exact time evolution. A similar approach applies to two-level systems in different contexts.
dc.identifierhttps://arxiv.org/abs/cond-mat/0409096
dc.identifierhttp://arxiv.org/abs/cond-mat/0409096
dc.identifierPhys. Rev. B, 71, 115315 (2005)
dc.identifierdoi:10.1103/PhysRevB.71.115315
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/24787
dc.subjectMesoscale and Nanoscale Physics
dc.subjectQuantum Physics
dc.titleDouble Occupancy Errors in Quantum Computing Operations: Corrections to Adiabaticity
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