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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
American Physical Society
2021-10-01
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Series: | Physical Review Research |
Online Access: | http://doi.org/10.1103/PhysRevResearch.3.043015 |