Quantum Advantage in Resource Estimation

When will quantum computers be useful? Resource estimation – the process of determining how many qubits and operations are needed to run an algorithm – is central to answering this question. Quantum algorithms frequently rely on operations that must be approximated using quantum circuits, such as the time evolution generated by a Hamiltonian. Compiling algorithms into logical qubit and gate requirements necessitates accurately bounding these simulation errors; tighter bounds directly yield more efficient constructions. Numerical resource estimates are typically produced using classical algorithms that conservatively upper-bound simulation errors, leading to suboptimal resource estimates. In this talk, I will argue that accurate resource estimates can be produced using quantum algorithms that require few quantum resources. I will detail a specific protocol to efficiently compute the Trotter error, and show how this significantly reduces resource estimates for Trotter-based Quantum Phase Estimation. We will conclude by exploring how resource estimation serves as a useful, near-term application for quantum devices.

In-person only, to be posted after the talk on https://www.youtube.com/@mathematicalpicturelanguag2715/videos