Situated at the intersection of quantum gravity and quantum computing, my research leverages the interplay of questions about the laws of gravity and our understanding of quantum information and quantum computation. There is growing evidence that properties of quantum computation/information play an important role in understanding fundamental puzzles about black holes, wormholes, and new phases of matter. Connections between AdS/CFT correspondence and tensor networks, the Ryu-Takayanagi formula, and the scrambling of information in black holes all indicate that our understanding of the quantum features of gravity can be improved by further exploration of the laws of quantum information. The close relationship between quantum information and gravity also has huge potential to help us get closer to building a quantum computer and developing new quantum algorithms. 

One of my recent research articles used the model of traversable wormholes in holography to develop a new kind of teleportation protocol. We have named this protocol the teleportation by size protocol and written the paper Quantum Gravity in the Lab. Experimental realizations of this protocol on a superconducting quantum computer and ion trap quantum devices can probe many interesting features of Einstein’s gravity, such as the existence of wormholes and the scrambling of information in black holes. 

Approaching a question from the angle of geometry, I recently wrote a paper entitled Python’s Lunch that conjectured a direct connection between the quantum complexity of decoding the information that fell into a black hole and a geometric bulge in the wormhole geometry. The wormhole that connects the Hawking radiation to the remaining black hole has a large bulge in the middle, hence the name python’s lunch. This finding is yet more evidence for the strong link between quantum computation and the laws of gravity.