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The past decade has witnessed significant breakthroughs in understanding the quantum nature of black holes, with insights coming from quantum information theory, numerical relativity, and string theory.  At the same time, astrophysical and gravitational wave observations can now provide an unprecedented window into the phenomenology of black hole horizons.  This workshop seeks to bring together leading experts in these fields to explore new theoretical and observational opportunities and synergies that could improve our physical understanding of quantum black holes.

In the last few years there has been a resurgence of interest in small scale high sensitivity experiments that look for new forces and new particles beyond the Standard Model. They promise to expand our understanding of the Cosmos and possibly explain mysteries such as Dark matter in a way that is complementary to colliders and other large scale experiments. There is a number of different physics motivations and approaches currently being explored in many on-going and newly proposed experiments and they often share common experimental techniques.Many workshops in this field focus on the theory motivations behind these experiments without emphasis on the details of the experimental techniques that enable precision measurements. There is also substantial experimental expertise across many fields, often outside of fundamental physics community, that can be relevant to ongoing and proposed experiments.Thus, we decided to organize the workshop around some of the common experimental techniques. We hope it will be educational for both experimentalists and theorists and lead to discussions on the best way forward. We would like to bring together experimentalists with different expertise in the hope that it will lead to new ideas through interdisciplinary interactions. For theorists, we expect it to provide better appreciation of the challenges and opportunities in improving the sensitivity of precision measurement experiments.

The Kitaev quantum double models are a family of topologically ordered spin models originally proposed to exploit the novel condensed matter phenomenology of topological phases for fault-tolerant quantum computation. Their physics is inherited from topological quantum field theories, while their underlying mathematical structure is based on a class of Hopf algebras. This structure is also seen across diverse fields of physics, and so allows connections to be made between the Kitaev models and topics as varied as quantum gauge theory and modified strong complementarity. This workshop will explore this shared mathematical structure and in so doing develop the connections between the fields of mathematical physics, quantum gravity, quantum information, condensed matter and quantum foundations.