The time evolution of the quantum mechanical state of an electron is calcul
ated in the framework of the effective-mass envelope function theory for an
InAs/GaAs quantum dot. The results indicate that the superposition state e
lectron density oscillates in the quantum dot, with a period on the order o
f femtoseconds. The interaction energy E-ij between two electrons located i
n different quantum dots is calculated for one electron in the ith pure qua
ntum state and another in the jth pure quantum state. We find that E-11]E-1
2]E-22, and E-ij decreases as the distance between the two quantum dots inc
reases. We present a parameter-phase diagram which defines the parameter re
gion for the use of an InAs/GaAs quantum dot as a two-level quantum system
in quantum computation. A static electric field is found to efficiently pro
long the decoherence time. Our results should be useful for designing the s
olid-state implementation of quantum computing. (C) 2001 American Institute
of Physics.