Quantum computation and quantum information
Quantum computation and quantum information
Heuristic methods to use don't cares in automated design of reversible and quantum logic circuits
Quantum Information Processing
Efficient Implementation of Controlled Operations for Multivalued Quantum Logic
ISMVL '09 Proceedings of the 2009 39th International Symposium on Multiple-Valued Logic
On figures of merit in reversible and quantum logic designs
Quantum Information Processing
Efficient circuits for exact-universal computationwith qudits
Quantum Information & Computation
Integration, the VLSI Journal
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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.