Quantum Bridges: Crossing the Label Gap with ILQSSL and IPQSSL
In data-scarce domains, the bottleneck isn’t computing power — it’s labeled data. Semi-supervised learning (SSL) thrives here, using a small set of labeled points to guide a vast sea of unlabeled ones. But what happens when we bring quantum mechanics into the loop? This is exactly where Improved Laplacian Quantum Semi-Supervised Learning (ILQSSL) and Improved Poisson Quantum Semi-Supervised Learning (IPQSSL) enter the stage. From Graphs to Quantum States Both ILQSSL and IPQSSL operate in the graph-based SSL paradigm, where data points become nodes and similarity measures define edges. The twist is how they embed this graph structure directly into quantum states using QR decomposition. By decomposing graph-derived matrices into orthogonal (unitary-compatible) components, they map structure into quantum circuits without violating the unitarity constraints of quantum computing. ...