Engineering robust and precise effective Hamiltonians
Jiahui Chen
Quantum control is essential for implementing high-fidelity operations in quantum computing, simulation, and sensing. Achieving robust control in realistic systems requires techniques that take into account limitations in the control signals, imperfections in implementations, and dispersions in system Hamiltonians.
I will introduce a general framework for robust quantum control design based on Hamiltonian engineering using Average Hamiltonian Theory (AHT). This framework allows us to characterize system controllability, systematically incorporate robustness to common control errors, and design control sequences that generate desired nonzero zeroth- and higher-order terms in the Magnus expansion.
It also accounts for higher-order corrections and cross terms, enabling comprehensive error analysis. The methods are illustrated with simple examples in gate design, quantum simulation, and sensing.
Location
RAC2 1101