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In this talk, I will describe new tomographic protocols for efficiently estimating various fermionic quantities, including both local observables (i.e., expectation values of local fermionic operators) and certain global properties (e.g., inner products between an unknown quantum state and arbitrary fermionic Gaussian states). Our protocols are based on classical shadows arising from random matchgate circuits. Kianna is currently a PhD student at Stanford University and a part-time researcher on the Google’s Quantum AI team. She has developed algorithms for a variety of problems, contributing novel techniques for various aspects of quantum simulation, as well as quantum speedups for classical problems. More broadly, she is interested in a range of topics in quantum information, and has worked on quantum metrology, circuit compilation, and fault-tolerant architectures. |