Journal
QUANTUM INFORMATION PROCESSING
Volume 10, Issue 2, Pages 241-256Publisher
SPRINGER
DOI: 10.1007/s11128-010-0192-z
Keywords
Quantum computing; Multi-level logic gates; Reversible logic; Controlled gate; Quantum cost
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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.
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