Hyperbolic Topological Quantum Sources

Robust Integrable Quantum Optical Sources, Constructed by Topological Boundary States, Are Crucial for the on-chip Quantum Information Processing. However, Limited by the Bulk-edge Correspondence, the Implementation of Topological Boundary Channels Necessitates a Substantial Number of Bulk Sites, Which Notably Diminishes the Ratio of Ring Resonators to Generate Quantum Sources. How to Achieve Topologically-protected Quantum Sources With the Extremely Enhanced Utilization Efficiency of Optical Resonators Remains a Challenge. Here, the First Realization of Hyperbolic Topological Quantum Sources is reported, Which Possess a Dominated Number of Boundary Resonators Than That in the Bulk Domain. Specifically, Hyperbolic Topological Quantum Sources Require Fewer Resources (i.e., the number of ring resonators) to Achieve the Same Level of Brightness Compared With Euclidean Topological Quantum Sources. Furthermore, the Robust Correlated- and Entangled-photon Pairs Are Measured. The Work Possesses Potential Applications in Integrable Quantum Circuits and Suggests a Novel Way on the Exploration of Quantum Physics in Non-Euclidean Space.