IQIM Postdoctoral and Graduate Student Seminar

Wednesday September 28, 2022 11:00 AM

NLTS Hamiltonians from good quantum codes

Speaker: Nikolas Breuckmann, University College London
Location: Online Event

Joint IQIM/AWS Seminar

Abstract: The NLTS (No Low-Energy Trivial State) conjecture of Freedman and Hastings [2014] 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
Passcode: 932356

Series IQIM Postdoctoral and Graduate Student Seminar Series

Contact: Marcia Brown at 626-395-4013