My current research interests are two-fold:

1. What can higher-dimensional quantum systems tell us about about the interface between quantum theory and relativity? In quantum computing, much of the research focus has been on using qubits  -- the quantum generalization of the classical bits found in your everyday computer -- both for running quantum algorithms and for hardware implementation. This is normal, since qubits represent the most simple quantum system imaginable, comprised of only two quantum states. However, most quantum systems in nature are much more complex and have more than two levels; we call such quantum systems qudits. Recently, with our better understanding of quantum systems, there has been a growing interest in using qudits for quantum computing, where they can perform computations using fewer quantum systems. Similarly, I would like to know in what situations can qudits provide us with an advantage over qubits in understanding the interaction between quantum theory and relativity?

2. How can we understand superpositions of spacetime from an operational perspective? And how might quantum reference frames be used to this end? Recently, my supervisor and collaborators have proposed an operational approach for describing the effect of a quantum superposition of spacetime on a quantum detector. I have been working to better understand the limitations of this model and to see how it might be generalized. In this vein, I am trying to use recent quantum reference frame formalisms to see how these quantum superpositions of spacetime might be described by other quantum observers.