Entropic barriers as a reason for hardness in both classical and quantum algorithms

We study both classical and quantum algorithms to solve a hard optimization problem, namely 3-XORSAT on 3-regular random graphs. By introducing a new quasi-greedy algorithm that is not allowed to jump over large energy barriers, we show that the problem hardness is mainly due to entropic barriers. W...

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Bibliographic Details
Main Authors: Matteo Bellitti, Federico Ricci-Tersenghi, Antonello Scardicchio
Format: Article
Language:English
Published: American Physical Society 2021-10-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.3.043015