Quantum circuit optimization for arbitrary high-dimensional bipartite quantum computation

• URL: http://arxiv.org/abs/2604.11534v1
• Date: Mon, 13 Apr 2026 14:31:38 GMT
• Title: Quantum circuit optimization for arbitrary high-dimensional bipartite quantum computation
• Abstract summary: A bipartite quantum system with arbitrary dimensions $n$ and $m$ is termed a quNit-quMit.<n>We propose a synthesis scheme to construct the quantum circuit for general quNit-quMit gates with controlled increment gates and local gates.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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 $2n$.

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