Quantum Phase Estimation in the Language of Digital Signal Processing

Explore quantum phase estimation (QPE) through the lens of digital signal processing in this 48-minute conference talk from IPAM's Bridging the Gap Between NISQ and FTQC Workshop. Learn how reframing QPE using digital signal processing concepts provides a more general conceptual framework that naturally integrates advances from quantum algorithms, metrology, and signal processing disciplines. Discover how this perspective makes it easier to understand and incorporate improvements such as window functions, bidirectional phase kickback, and qubitization without extensive code re-implementation. Gain insights into how this unified approach enhances the extensibility and programming paradigm for QPE, which serves as a central subroutine in many quantum algorithms and applications. Understand the pedagogical value of reframing quantum algorithms, particularly for programming and deploying quantum applications in both NISQ and fault-tolerant quantum computing contexts.