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The robust operation of quantum entanglement states are crucial forapplications in quantum information, computing, and communications1-3. However,it has always been a great challenge to complete such a task because ofdecoherence and disorder. Here, we propose theoretically and demonstrateexperimentally an effective scheme to realize robust operation of quantumentanglement states by designing quadruple degeneracy exceptional points. Byencircling the exceptional points on two overlapping Riemann energy surfaces,we have realized a chiral switch for entangled states with high fidelity. Owingto the topological protection conferred by the Riemann surface structure, thisswitching of chirality exhibits strong robustness against perturbations in theencircling path. Furthermore, we have experimentally validated such a scheme ona quantum walk platform. Our work opens up a new way for the application ofnon-Hermitian physics in the field of quantum information.

Topologically protected entanglement switching around exceptional points