IQIM Postdoctoral and Graduate Student Seminar

Series: IQIM Postdoctoral and Graduate Student Seminar Series

NLTS Hamiltonians from good quantum codes

Nikolas Breuckmann, University College London,

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

https://caltech.zoom.us/j/88407627311?pwd=RGx4MlpSUnBLbDJvdE4rS1FHbWZvUT09

Meeting ID: 884 0762 7311
Passcode: 932356

Event Sponsors:

Institute for Quantum Information and Matter (IQIM) - More events from this Sponsor

For more information, please contact Marcia Brown by phone at 626-395-4013 or by email at [email protected].