IQC Math and CS seminar featuring Zhaoyi Li

Thursday, June 26, 2025 3:00 pm - 4:00 pm EDT (GMT -04:00)

Designing and Implementing Optimal Quantum Purity Amplification

Zhaoyi Li |  Massachusetts Institute of Technology (MIT)

Quantum Purity Amplification (QPA) offers a new framework for mitigating noise in quantum systems. In this talk, I will present the optimal QPA protocol for general quantum states under global depolarizing noise, a problem that has remained open for two decades. We prove the optimality of the protocol and show that it achieves an exponential improvement in sample complexity compared to previous methods in the strong-noise regime. I will also describe an efficient implementation based on generalized quantum phase estimation (GQPE), and introduce SWAPNET, a shallow and sparse circuit design that makes QPA practical for near-term devices. Finally, I will share simulation results demonstrating that QPA can improve fidelity in noisy Hamiltonian evolution, suggesting its potential utility in realistic applications with limited quantum resources.

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