Explore a conference talk on probing sign structure using measurement-induced entanglement. Delve into the research presented by Timothy Hsieh from Perimeter Institute at the Noisy Intermediate-Scale Quantum Systems: Advances and Applications conference. Examine topics such as detecting sign structure, measurement-induced entanglement (MIE), sign-free stabilizer states, and hybrid quantum circuits. Investigate how sign structure constrains scaling dimensions in Clifford and Haar hybrid circuits. Learn about MIE applications in critical 1d Transverse Field Ising Model and gapless SPT systems. Gain insights into open questions and future research directions in this field of quantum physics.