IQIM Postdoctoral and Graduate Student Seminar
Joint IQIM/AWS Seminar
Abstract: The NLTS (No Low-Energy Trivial State) conjecture of Freedman and Hastings  posits that there exist families of Hamiltonians with all low energy states of non-trivial complexity (with complexity measured by the quantum circuit depth preparing the state). We prove this conjecture by showing that the recently discovered families of constant-rate and linear-distance QLDPC codes correspond to NLTS local Hamiltonians.
This seminar will be presented on zoom only
Meeting ID: 884 0762 7311