A fast quantum mechanical algorithm for database search
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
Quantum computation and quantum information
Quantum computation and quantum information
Multi-Output Galois Field Sum of Products Synthesis with New Quantum Cascades
ISMVL '03 Proceedings of the 33rd International Symposium on Multiple-Valued Logic
ISMVL '04 Proceedings of the 34th International Symposium on Multiple-Valued Logic
A Synthesis Method for MVL Reversible Logic
ISMVL '04 Proceedings of the 34th International Symposium on Multiple-Valued Logic
Quantum ternary parallel adder/subtractor with partially-look-ahead carry
Journal of Systems Architecture: the EUROMICRO Journal
Irreversibility and heat generation in the computing process
IBM Journal of Research and Development
Logical reversibility of computation
IBM Journal of Research and Development
A synthesis method for quaternary quantum logic circuits
VDAT'12 Proceedings of the 16th international conference on Progress in VLSI Design and Test
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Multiple-valued quantum logic circuits are a promising choice for future quantum computing technology since they have several advantages over binary quantum logic circuits. Adder/subtractor is the major component of the ALU of a computer and is also used in quantum oracles. In this paper, we propose a recursive method of hand synthesis of reversible quaternary full-adder circuit using macro-level quaternary controlled gates built on the top of ion-trap realizable 1-qudit quantum gates and 2-qudit Muthukrishnan-Stroud quantum gates. Based on this quaternary full-adder circuit we propose a reversible circuit realizing quaternary parallel adder/subtractor with look-ahead carry. We also show the way of adapting the quaternary parallel adder/subtractor circuit to an encoded binary parallel adder/subtractor circuit by grouping two qubits together into quaternary qudit values.