Quantum control and error mitigation from geometric space curves
Future technologies such as quantum computing, sensing and communication demand the ability to control microscopic quantum systems with unprecedented accuracy. Control errors and environmental noise are among the primary obstacles to realizing these applications. I will present a new theoretical framework for deriving control waveforms that dynamically combat errors and decoherence. This theory exploits a rich geometrical structure hidden within the time-dependent Schrödinger equation in which quantum evolution is mapped to geometric space curves. I will discuss the application of this technique to the design of gates for superconducting, semiconducting, and atomic qubits.
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