Speaker
Debbie Leung, University of Waterloo
Abstract
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Quantum state purification is the task of recovering a nearly pure copy of an unknown pure quantum state using multiple noisy copies of the state. In this talk, we derive a qudit purification procedure based on the swap test, and examine the sample complexity, circuit complexity, and quantum memory required as the dimension d and the initial error parameter increases. We discuss relaxation of the noise model and various applications of state purification. We compare with other concurrent or subequent methods. The talk is primarily based on arXiv:2309.16387 and 2503.22644 (joint work with Andrew Childs, Honghao Fu, Daniel Grier, Zhi Li, Maris Ozols, Hakop Pashayan, Luke Schaeffer, and Vedang Vyas)