We study information at the meeting point of quantum physics, signal processing, and computation. Signals from a molecule's energy spectrum, a wireless channel, or a heartbeat all carry hidden mathematical structure. Our work asks what happens when that structure is expressed in quantum form: what becomes easier to compute, what becomes harder to measure, and what new kinds of inference become possible.
At the core of our approach is structure-aware quantum algorithm design. By exploiting patterns such as sparsity, banded and Toeplitz operators, and polynomial representations, we build quantum algorithms for simulation, spectral estimation, and filtering whose cost and error we can state precisely. The goal is not just a working circuit, but a clear account of how accuracy, depth, and resources scale together.
We also study how open quantum systems learn and remember. Through quantum reservoir computing, weak measurement, and dissipative dynamics, we explore how physical quantum systems process information over time, with direct relevance to biosignals and sensor streams.
Throughout, we keep our ideas grounded in real hardware and real problems. Working with IBM Quantum and RIKEN, we test our methods on superconducting processors and apply them to molecular simulation, biomedical signal processing, communication, and sensing, asking what today's noisy devices can actually deliver.