PhD Proposal: Quantum Error Suppression for Dynamically Corrected Storage, Logic, and Algorithms

Quantum states are highly susceptible to noise originating from within quantum device hardware and from unwanted system-environment interaction leading to decoherence, the loss of quantum information. Robust control of quantum systems in the presence of noise is a significant challenge that has received decades of attention. The goal of dynamical error suppression is to implement a unitary on the system of interest with the highest fidelity possible. When the desired unitary is the identity, the approach is called dynamical decoupling (DD), and when the desired unitary is not the identity, the approach is called a composite pulse (NMR literature) or dynamically corrected gate (DCG, quantum computing literature). In this presentation we will review a completed project that advances the state of DD and introduce two in-progress projects which will advance the state of robust DCG construction and robust algorithmic execution, respectively.