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Quantum circuit optimization for arbitrary high-dimensional bipartite quantum computation

Year: 2026

Type: preprint

Abstract: Implementation of high-dimensional (HD) quantum gates shows very promising perspectives for HD quantum computation. A bipartite quantum system with arbitrary dimensions $n$ and $m$ is termed a quNit-quMit. Here we propose a synthesis scheme to construct the quantum circuit for general quNit-quMit gates with controlled increment (CINC) gates and local gates. This shows that CINC gates combined with local gates form a universal gate set for HD quantum computation. An upper bound of $O(n^2)$ CINC gates is achieved for arbitrary quNit-quMit gate implementation in the proposed scheme, which is the best known result. Especially for the controlled quNit-quMit gates, our scheme requires only 2 CINC gates, whereas the previous scheme required $2n$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2604.11534

Authors: Jiang, Gui-Long, Wei, Hai-Rui

Institutions: Harbin Institute of Technology, University of Science and Technology Beijing

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7154205600

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