Abstract
dc:description.abstractThis thesis translates abstract concepts from quantum information theory into physical control protocols designed for cooling, error recovery, and quantum metrology. The physical platforms utilized in this work include qubits, quantum harmonic oscillators, and their composite systems. In the first project, we propose a physical implementation of a symmetry-protected super-Heisenberg sensing protocol in trapped ion sensors. A key challenge in achieving the super-Heisenberg limit is designing nonlinear parametrization from a linear perturbing signal. We address this by pulse-engineering the signal onto a geometric phase, which is then encoded into qubits via spin-spin interaction. In the second project, we propose a quantum circuit implementation of the Petz recovery map for single-qubit decoherence, analyzing its resource requirements, performance under suboptimal priors, and resilience within noisy ion trap environments. Lastly, we establish a heat-bath algorithmic cooling framework for continuous variable systems, deriving fundamental cooling limits that distinguish between Gaussian operations and the enhanced capabilities of non-Gaussian operations.
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
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- PNG WEN HAN