Exchange Interaction Between Three and Four Coupled Quantum Dots: Theory and Applications to Quantum Computing

Details Exchange Interaction Between Three and Four Coupled Quantum Dots: Theory and Applications to Quantum Computing Exchange Interaction Between Three and Four Coupled Quantum Dots: Theory and Applications to Quantum Computing

2003-02-03

arxiv.org/abs/cond-mat/0302018v3

Phys. Rev. B 70, 115310 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 16 figures. v3: Added Hund-Mulliken calculations in 3-dots case. A few small corrections. This version submitted to

Scientific paper

10.1103/PhysRevB.70.115310

Several prominent proposals have suggested that spins of localized electrons could serve as quantum computer qubits. The exchange interaction has been invoked as a means of implementing two qubit gates. In this paper, we analyze the strength and form of the exchange interaction under relevant conditions. We find that, when several spins are engaged in mutual interactions, the quantitative strengths or even qualitative forms of the interactions can change. It is shown that the changes can be dramatic within a Heitler-London model. Hund-Mulliken calculations are also presented, and support the qualititative conclusions from the Heitler-London model. The effects need to be considered in spin-based quantum computer designs, either as a source of gate error to be overcome or a new interaction to be exploited.

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