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The WIMP may not be dead, but its decline has opened a number of new frontiers in the search for dark matter, spanning a vast range of scales. This is problematic for traditional direct detection searches: decades of development have produced detectors that are extremely sensitive to weak-scale dark matter, but nearly blind to other important targets. The growing scope of our search thus calls for new experimental ideas. I will describe a new conceptual framework for the treatment of dark matter--electron interaction rates in which the capabilities of detectors are determined by their dielectric properties. This language makes it possible to leverage the complicated condensed matter physics of detector materials to probe dark matter at masses several orders of magnitude below existing bounds. This novel formalism is already enabling new approaches to the detection of light dark matter, and I will share recent results based on the application of this method to superconducting detectors, including new constraints on sub-MeV dark matter. The future prospects promise to transform direct detection from a surgical instrument at the weak scale to a robust tool in the search for new physics across the scales.
The use of quantum computation for simulation promises to provide an avenue for the first-principle real-time simulation of physical dynamics for which we have no alternative methods at the present time. With the sizes and stability of quantum computers at a premium in the near term, it will be critical to develop efficient algorithms both for mapping physical systems into representations suitable for quantum computing and for manipulating the resulting states. I will discuss some preliminary steps from my work in these directions from both the field-theoretic and circuit-optimization point of view.