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Researchers have demonstrated that looping quantum parameters around exceptional points induces nontrivial holonomy, proving these points act as fundamental topological defects rather than mathematical curiosities. This discovery provides a new experimental signature for detecting such points and reframes the local structure of Hilbert space bundles in non-Hermitian systems. The findings offer a unified framework that could significantly advance future protocols for quantum control and qubit manipulation.

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A closed loop around an exceptional point changes quantum state

Quantum ZeitgeistSeptember 30, 20263 min read

Researchers found nontrivial holonomy emerges when quantum states loop parameters around Exceptional Points, revealing topological defects.

Chia-Yi Ju of National Sun Yat-sen University and Szu-Ming Chen have demonstrated that exceptional points within quantum systems function as topological defects, fundamentally altering the expected structure of the Hilbert space bundle. While previous work assumed a locally flat Hilbert space, this research reveals that closed parameter loops encircling these exceptional points produce nontrivial holonomy,…

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