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Learn about quantum algorithmic approaches for identifying hidden symmetries in quantum states through this 19-minute conference talk from QTML 2025. Explore the abelian version of the state hidden subgroup problem (StateHSP) and discover how to efficiently learn hidden symmetry subgroups in abelian groups. Examine three concrete applications including learning qubit and qudit stabilizer groups, identifying cuts along which states are unentangled, and detecting hidden translation symmetries. Understand how the StateHSP framework serves as a foundation for broader symmetry-based quantum learning tasks, with insights into quantum information theory and quantum many-body physics applications presented by researchers Marcel Hinsche, Jens Eisert, and Jose Carrasco at the Centre for Quantum Technologies.
