Double-Occupancy Errors, Adiabaticity, and Entanglement of Spin-Qubits in Quantum Dots

Details Double-Occupancy Errors, Adiabaticity, and Entanglement of Spin-Qubits in Quantum Dots Double-Occupancy Errors, Adiabaticity, and Entanglement of Spin-Qubits in Quantum Dots

2000-09-06

arxiv.org/abs/cond-mat/0009083v1

Phys. Rev. B 63, 085311 (2001)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 4 figures included

Scientific paper

10.1103/PhysRevB.63.085311

Quantum gates that temporarily increase singlet-triplet splitting in order to swap electronic spins in coupled quantum dots, lead inevitably to a finite double-occupancy probability for both dots. By solving the time-dependent Schr\"odinger equation for a coupled dot model, we demonstrate that this does not necessarily lead to quantum computation errors. Instead, the coupled dot ground state evolves quasi-adiabatically for typical system parameters so that the double-occupancy probability at the completion of swapping is negligibly small. We introduce a measure of entanglement which explicitly takes into account the possibilty of double occupancies and provides a necessary and sufficient criterion for entangled states.

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