For new Duality Structure and its Application in the NCV-|v1 > Library
Dong-Young Park, Yeon-Man Jeong · The Journal of the Korea institute of electronic communication sciences · 2016
The characteristic and application of a new duality structure in the > library is studied in this paper. All unitary operations on arbitrarily many qudit`s n can be expressed as composition of one- and two-qudit > libraries if their state vectors are eigenvectors. This research provides an extended realization from Barenco`s many bits n operator(U(2n)) which is applicable to only all positive polarity statevectors to whole polarity ones. At the control gate synthesis of a unitary operator, such an enhanced expansion is possible due to their symmetric duality property in the case of using both > and > libraries which make the AND predominantly dependent cascade synthesis possible.