Robust Qudit Hamiltonian Engineering: Applications to NV Centers

While robust dynamical decoupling and Hamiltonian engineering techniques are well-developed and highly successful for qubit systems, extensions to qudits involving more than two levels are much less explored. However, the development of such techniques for qudit systems may enable the engineering of novel classes of Hamiltonians for many-body physics, or the development of quantum sensors with higher sensitivity. In this talk, we outline extensions of robust Hamiltonian engineering techniques to qudit systems. We develop general design techniques for pulse sequences that decouple spin-1 dipolar interactions and disorder, while remaining robust against finite pulse duration imperfections, and show their applications in dynamical decoupling, quantum sensing, and the creation of exotic many-body states such as quantum many-body scars. While we illustrate our results in a dense ensemble of NV centers, our methodology and pulse sequences apply to any quantum information platform that obeys the rotating wave approximation, such as superconducting qubits, trapped atoms and quantum dots.