Double occupancy errors in quantum computing operations: Corrections to adiabaticity

Ryan Requist*, John Schliemann, Alexander G. Abanov, Daniel Loss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


We 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 nonadiabatic 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.

Original languageAmerican English
Article number115315
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number11
StatePublished - 15 Mar 2005
Externally publishedYes


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