+ <p class="project-description">For my math senior thesis with Professor Ami Radunskaya of Pomona College, we are working on a method to decompose unitaries as quantum circuits using the fundamental gate set {Rx, Ry, Rz, P, CNOT}, via a combination of variation autoencoder (VAE), transformer, and custom gradient descent. As an application, we are simulating Sachdev-Ye-Kitaev Hamiltonians, which describe how a cloud of Majorana fermions. Inspired by Jafferis et al. 2022's simulation of quantum teleportation in this system of two of these clouds (which are dual in a gravitational system by the AdS-CFT correspondence to wormhole teleportation) but eager to address Kobrin et al. (2023)'s concerns over operator overfitting, we are developing a new training procedure and ML architecture in order to preserve scrambling dynamics while sparsifying the SYK Hamiltonians that describe the evolution of the system.</p>
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