It has been shown in paper that in gate based quantum computing, quantum walks provide a mathematical description of quantum gates. It has been proposed by Dmitry Solenov, that many of these qubit architectures have accessible auxiliary states that are non-local to qubit states and can provide faster evolution than relying on a two-state quantum system. This allows for quicker gate entanglement, providing robust computation before decoherence comes into effect.

I am grateful to Dmitry Solenov during the research process. Dr. Solenov has been a wonderful resource and advisor for the past three years. He has provided a glimpse into what being a professional scientist includes. Specifically, to ask as many questions as possible, and perhaps something interesting will arise from it. For this I am thankful.