We extend quantum circuit cutting to heterogeneous registers comprising mixed-dimensional qudits. By decomposing non-local interactions into tensor products of local generalised Gell-Mann matrices, we enable the simulation and execution of high-dimensional circuits on disconnected hardware fragments. We validate this framework on qubit--qutrit ($2$--$3$) interfaces, achieving exact state reconstruction with a Total Variation Distance of 0 within single-precision floating-point tolerance. Furthermore, we demonstrate the memory advantage in an 8-particle, dimension-8 system, reducing memory usage from 128 MB to 64 KB per circuit.

翻译：我们将量子电路切割技术扩展至包含混合维度量子比特的异构寄存器。通过将非局域相互作用分解为局部广义盖尔曼矩阵的张量积，我们实现了高维量子电路在断开硬件片段上的模拟与执行。我们在量子比特-量子三态（$2$--$3$）界面上验证了该框架，在单精度浮点容差范围内实现了总变分距离为0的精确态重构。此外，我们在一个8粒子、维度为8的系统中展示了内存优势，将每个电路的内存使用量从128 MB降低至64 KB。