I am intrigued by the computational power of quantum walks. I am particularly interested in determining the limits of that power, with respect to the physical resources that would be required to implement a walking computer. Specifically, while quantum walks are universal for computation the only known recipes so far require exponential spatial resources.
Many other areas of physics interest me as well, including entanglement, quantum mechanics near black holes, and complexity theory. Unfortunately I don't find time for all of these things, but maybe one day...