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PIRSA:22090094

NLTS Hamiltonians from good quantum codes

APA

Anshu, A. (2022). NLTS Hamiltonians from good quantum codes. Perimeter Institute for Theoretical Physics. https://pirsa.org/22090094

Anurag Anshu Harvard University

Talk numberPIRSA:22090094
Source RepositoryPIRSA

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). Our recent work https://arxiv.org/abs/2206.13228 (with Nikolas Breuckmann and Chinmay Nirkhe) proves this conjecture by showing that the recently discovered families of constant-rate and linear-distance QLDPC codes correspond to NLTS local Hamiltonians. This talk will provide background on the conjecture, its relevance to quantum many-body physics and quantum complexity theory, and touch upon the proof techniques.

Zoom link: https://pitp.zoom.us/j/94224635225?pwd=SUovNXA3MWlkRUJlcTIxV0pLQzQxdz09