Limits of Noisy Quantum Metrology with Restricted Quantum Controls

Watch a 28-minute conference talk from TQC 2024 exploring the theoretical limits of noisy quantum metrology under restricted quantum control conditions. Delve into the comparison between Heisenberg limit (HL) and standard quantum limit (SQL) in quantum metrological precision, examining how estimation precision scales with the number of one-parameter quantum channels. Learn why quantum error correction (QEC) strategies are essential for achieving the Heisenberg limit, and discover new findings about metrological limits when working with restricted quantum devices. Understand the newly identified "rotation-generators-not-in-Kraus-span" (RGNKS) condition for qubit channels and its implications for achieving SQL using only unitary controls and single measurements. Explore how these theoretical insights apply to current quantum technologies, presented at the 19th Conference on the Theory of Quantum Computation, Communication and Cryptography at OIST, Japan.