1,935 research outputs found
A Synthesis Method for Quaternary Quantum Logic Circuits
Synthesis of quaternary quantum circuits involves basic quaternary gates and
logic operations in the quaternary quantum domain. In this paper, we propose
new projection operations and quaternary logic gates for synthesizing
quaternary logic functions. We also demonstrate the realization of the proposed
gates using basic quantum quaternary operations. We then employ our synthesis
method to design of quaternary adder and some benchmark circuits. Our results
in terms of circuit cost, are better than the existing works.Comment: 10 page
Exact Synthesis of 3-qubit Quantum Circuits from Non-binary Quantum Gates Using Multiple-Valued Logic and Group Theory
We propose an approach to optimally synthesize quantum circuits from non-permutative quantum gates such as Controlled-Square-Root–of-Not (i.e. Controlled-V). Our approach reduces the synthesis problem to multiple-valued optimization and uses group theory. We devise a novel technique that transforms the quantum logic synthesis problem from a multi-valued constrained optimization problem to a permutable representation. The transformation enables us to utilize group theory to exploit the symmetric properties of the synthesis problem. Assuming a cost of one for each two-qubit gate, we found all reversible circuits with quantum costs of 4, 5, 6, etc, and give another algorithm to realize these reversible circuits with quantum gates. The approach can be used for both binary permutative deterministic circuits and probabilistic circuits such as controlled random number generators and hidden Markov models
- …