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Synthesis of Ternary Quantum Logic Circuits by Decomposition

Faisal Shah Khan·Marek Perkowski
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Abstract

Recent research in multi-valued logic for quantum computing has shown practical advantages for scaling up a quantum computer. Multivalued quantum systems have also been used in the framework of quantum cryptography, and the concept of a qudit cluster state has been proposed by generalizing the qubit cluster state. An evolutionary algorithm based synthesizer for ternary quantum circuits has recently been presented, as well as a synthesis method based on matrix factorization.In this paper, a recursive synthesis method for ternary quantum circuits based on the Cosine-Sine unitary matrix decomposition is presented.

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Faisal Shah Khan, Marek Perkowski. 2005-11-04. Synthesis of Ternary Quantum Logic Circuits by Decomposition. https://arxiv.org/abs/quant-ph/0511041

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