• The Journal of the Korea institute of electronic communication sciences
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• v.11 no.1
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• pp.29-36
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• 2016

Recently a new class of quantum gate called $NCV-{\mid}v_1$ > library with low cost realizable potentialities is being watched with keen interest. The $NCV-{\mid}v_1$ > MCT gate is composed of AND cascaded-$CV-{\mid}v_1$ > gates to control the target qudit and its adjoint gates to erase junk ones. This paper presents a new symmetrical duality library named $NCV^{\dag}-{\mid}v_1$ > library corresponding to $NCV-{\mid}v_1$ > library. The new $NCV^{\dag}-{\mid}v_1$ > library can be operated on OR logic under certain conditions. By using both the $NCV-{\mid}v_1$ > and $NCV^{\dag}-{\mid}v_1$ > libraries it is possible to realize MPMCT gates, SOP and POS type synthesis of quantum logic circuits with extremely low cost, and expect dual gate property caused by different operational attributes with respect to forward and backward operations.

• The Journal of the Korea institute of electronic communication sciences
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• v.11 no.2
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• pp.165-170
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• 2016

The characteristic and application of a new duality structure in the $NCV-{\mid}v_1$ > 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 $NCV-{\mid}v_1$ > 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 $NCV-{\mid}v_1$ > and $NCV^{\dag}-{\mid}v_1$ > libraries which make the AND predominantly dependent cascade synthesis possible.