Abstract: Suppose one is handed the ground state wavefunction of a local Hamiltonian. How does one determine the phase of matter this ground state belongs to? In this talk, I will describe a way of answering this question for 1d symmetry protected topological phases using `RG quantum circuits': unitary circuits that test whether or not their inputs belong to a particular phase. These circuits are constructed from only a small amount of universal data, and simulate renormalization group flow with the help of a simple error correction protocol. This talk is based on arXiv:2211.09803 with Shankar Balasubramanian and Soonwon Cho.
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Lunch will be provided at 12:00pm, so please come early to eat mingle and eat lunch before the talk begins.