Quantum computing Ph.D. student
University of Chicago
Quantum computing is in an era of limited resources. Current hardware lacks high fidelity gates, long coherence times, and the number of computational units required to perform meaningful computation. Current quantum devices typically use a binary system, where each qubit exists in a superposition of the $\ket 0$ and $\ket 1$ states. However, it is often possible to access the $\ket 2$ or even $\ket 3$ states in these same physical unit by manipulating the system in different ways. In this work, we consider automatically encoding two qubits into one four-state ququart via a compression scheme. We use quantum optimal control to design efficient proof-of-concept gates that fully replicate standard qubit computation on these encoded qubits.