Theoretical Physics Colloquium

Multi-partite entanglement and topology

by Prof. Abhijit Gadde (TIFR, Mumbai)

→ Asia/Kolkata
AG69

AG69

Description
In this talk, I'll describe an intimate connection between multi-partite entanglement and topological field theories. The ground state of a gapped Hamiltonian is expected to describe a topological quantum field theory at  long distances. A natural question is how to describe this TQFT from the properties of the ground state. I'll describe a class of q-partite entanglement observables, called multi-invariants, that is in one to one correspondence with q-1 manifolds M and its bicolored triangulation. We conjecture that these multi-invariants encode the TQFT partition function on M along with non-universal local factors. We identify the non-universal contributions with less-than-full-partite entangled states and describe a  way of removing them. A beautiful connection with null bordisms emerges  in this process.