aiqbench analysis

This paper gives criteria for when continuous-variable graph states can be converted into one another using Gaussian local unitaries, and shows that adding qumodes to these states is exactly impossible but approximately achievable with enough squeezing. For quantum information researchers, the practical takeaway is that resource requirements (squeezing levels) set the real cost of modifying cluster-state topologies, so the results are most useful as theoretical constraints for designing CV architectures. The reporting is repetitive and the claims are reported only at a high level, so readers should consult the underlying paper for the specific conditions and proofs.