Mathematics and Machine Learning Program Dates: September 3 - November 1, 2024 Location: Harvard CMSA, 20 Garden Street, Cambridge, MA 0213 Machine learning and AI are increasingly important tools in all fields of research. Recent milestones in machine learning for mathematics include data-driven discovery of theorems in knot theory and representation theory, the discovery and […]
Freedman CMSA Seminar 2:00-3:30 pm ET Speaker: Mike Freedman, Harvard CMSA Title: Detecting hidden structures in linear maps Abstract: I'll consider the problem of detecting spectral features and tensor structures within linear maps both in a quantum and classical contexts. In the quantum context there is the question of whether a Hamiltonian is local, […]
Freedman CMSA Seminar *Note: via Zoom only* 2:00-3:30 pm ET Speaker: Matt Hastings, Microsoft Quantum Program Title: Invertible Phases of Matter and Quantum Cellular Automata: Dimensions One to Three Abstract: A Quantum Cellular Automaton (QCA) is a *-automorphism of the algebra of local operators. While local quantum circuits provide one example of QCA, we are […]
Freedman CMSA Seminar *Note: via Zoom only* 2:00-3:30 pm ET Speaker: Michael Freedman, Harvard CMSA Title: Some questions and theorems about closed 3 manifolds embedded in S^4 Abstract: Much is unknown about smooth embeddings of 3-manifolds in S^4; the Schoenflies problem (Is there only one smoothly embedded 3-sphere in S^4 up to isotopy?) is […]
Freedman CMSA Seminar Speaker: Michael Freedman Title: A simple model for universal quantum computation Abstract: I’ll present joint (unpublished) work with Charlie Marcus on a surprisingly simple – and potentially practical (?)– model for universal quantum computation whose only quantum primitive is the ability to measure a pair of adjacent electrons into either singlet (spin=0) […]