Journal
SCIENCE IN CHINA SERIES G-PHYSICS MECHANICS & ASTRONOMY
Volume 51, Issue 11, Pages 1668-1676Publisher
SCIENCE PRESS
DOI: 10.1007/s11433-008-0157-8
Keywords
Cartan decomposition; Cartan subalgebra; 2-qutrit system; ternary SWAP gate
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Funding
- National Natural Science Foundation of China [60433050]
- Science Foundation of Xuzhou Normal University, China [06XLA05]
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The decomposition of matrices corresponding to the 2-qutrit logic gate by successive Cartan decomposition is investigated, and written in an exponential form based on the relationship between Lie group and Lie algebra, thus making them able to relate with the control field and the Hamiltonian of the system to perform the gate. Finally the decomposition of the ternary SWAP gate is presented in detail.
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