No-Go Result for Implementing Chiral Symmetries by Locality-Preserving Unitaries
Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube
Course Description
Overview
Explore a theoretical physics lecture examining the limitations of implementing chiral symmetries in fermionic lattice models. Delve into the argument that the chiral U(1)A symmetry of a Weyl fermion cannot be implemented by shallow depth quantum circuit operations in finite-dimensional onsite Hilbert spaces. Investigate the extension of this result to discrete Z_2N subgroups of U(1)_A, focusing on the constraints for N_f Weyl fermions of the same helicity. Gain insights into the intersection of topology, quantum error correction, and quantum gravity through this advanced presentation from the Institute for Pure & Applied Mathematics workshop.
Syllabus
Lukasz Fidkowski - No-go result for implementing chiral symmetries by locality-preserving unitaries
Taught by
Institute for Pure & Applied Mathematics (IPAM)
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