Speaker: Bowen Yang (Harvard University)Title: Quantum Cellular Automata and Algebraic L-TheoryAbstract: Quantum cellular automata (QCAs) are models of reversible quantum dynamics that preserve locality; they can be thought of as quantum analogues of classical cellular automata, but with much richer structure. I will describe a classification of the Clifford subclass of QCAs using methods from algebraic L-theory. The main result identifies the group of Clifford QCAs, up to natural equivalences, with L-theory homology of the underlying space. This gives a conceptual explanation of previously observed periodic patterns in lattice models and extends the picture to more general spaces. I will outline the ideas behind the construction and indicate how the framework connects topology, operator algebras, and quantum information. If time permits, I will also comment on what is known — and unknown — about the general (non-Clifford) case.

Come to MIT Health’s next Baby Talk Open House, and learn how we can support you and your family.Meet our pediatricians and family medicine providers. Ask questions. Learn how MIT Health cares for children. Family members and guests are welcome.Monday, November 3, 5:30–6:30 p.m.MIT Health, second floor (E23, 25 Carleton Street)Meet Rosemarie Roqué Gordon, MD, MPHRegister here: https://app.smartsheet.com/b/form/fc550a44a70044d6a786305ff2e0bed3

Time: 5:00 PMLocation: Cambridge, MA

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Time: 5:00 PMLocation: Cambridge, MA