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Synthesis of Ternary Quantum Logic Circuits by Decomposition

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arxiv quant-ph/0511041 v1 pith:CE534HMT submitted 2005-11-04 quant-ph

Synthesis of Ternary Quantum Logic Circuits by Decomposition

classification quant-ph
keywords quantumbeencircuitssynthesisternaryclusterdecompositionlogic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. MAPS: A Novel Multi-Axial Projective Sphere for Geometrically Visualizing Higher d-Valued Quantum State-Space of Qudits

    quant-ph 2026-06 unverdicted novelty 4.0

    The paper proposes the MAPS framework with n projectional intersecting spatial axes for visualizing qudit state-spaces and introduces novel d-valued phase axial-based gates.

  2. A Conceptual Technology-Dependent Framework of Ternary Quantum Gates

    quant-ph 2026-04 unverdicted novelty 3.0

    A technology-dependent conceptual design for ternary quantum gates including Chrestenson, Z3 variants, controlled gates, a non-phase SWAP, and a GF(3)-based Toffoli for qutrit systems.