caa a22 4500 445886870 CHVBK 20180317145602.0 cr unu---uuuuu 170323e20110401xx s 000 0 eng 10.1007/s11128-010-0192-z doi (NATIONALLICENCE)springer-10.1007/s11128-010-0192-z Controlled gates for multi-level quantum computation [Elektronische Daten] [Majid Mohammadi, Aliakbar Niknafs, Mohammad Eshghi] Multi-level (ML) quantum logic can potentially reduce the number of inputs/outputs or quantum cells in a quantum circuit which is a limitation in current quantum technology. In this paper we propose theorems about ML-quantum and reversible logic circuits. New efficient implementations for some basic controlled ML-quantum logic gates, such as three-qudit controlled NOT, Cycle, and Self Shift gates are proposed. We also propose lemmas about r-level quantum arrays and the number of required gates for an arbitrary n-qudit ML gate. An equivalent definition of quantum cost (QC) of binary quantum gates for ML-quantum gates is introduced and QC of controlled quantum gates is calculated. Springer Science+Business Media, LLC, 2010 Quantum computing nationallicence Multi-level logic gates nationallicence Reversible logic nationallicence Controlled gate nationallicence Quantum cost nationallicence Mohammadi Majid International Center for Science, High Technology and Environmental Sciences, Shahid Bahonar Kerman University, Kerman, Iran aut Niknafs Aliakbar Department of Computer Engineering, Shahid Bahonar Kerman University, Kerman, Iran aut Eshghi Mohammad Department of Electrical and Computer Engineering, Shahid Beheshti University, Tehran, Iran aut Quantum Information Processing Springer US; http://www.springer-ny.com 10/2(2011-04-01), 241-256 1570-0755 10:2<241 2011 10 11128 https://doi.org/10.1007/s11128-010-0192-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11128-010-0192-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Mohammadi Majid International Center for Science, High Technology and Environmental Sciences, Shahid Bahonar Kerman University, Kerman, Iran aut NATIONALLICENCE 700 1- Niknafs Aliakbar Department of Computer Engineering, Shahid Bahonar Kerman University, Kerman, Iran aut NATIONALLICENCE 700 1- Eshghi Mohammad Department of Electrical and Computer Engineering, Shahid Beheshti University, Tehran, Iran aut NATIONALLICENCE 773 0- Quantum Information Processing Springer US; http://www.springer-ny.com 10/2(2011-04-01), 241-256 1570-0755 10:2<241 2011 10 11128 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer