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Status: Unchecked ×Keyword: quantum annealing ×Clear all

3 claims from 1 paper

1. Computer Science › Quantum Computing Algorithms and Architecture

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

   Bellitti, Ricci‐Tersenghi and Scardicchio · Physical Review Research · 2021

   The paper studies classical and quantum algorithms on 3-XORSAT on 3-regular random graphs and finds entropic barriers affect both similarly, giving exponential running times even without large energy barriers.

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   1. UncheckedA quasi-greedy algorithm barred from crossing large energy barriers suggests 3-XORSAT on 3-regular random graphs is hard mainly because of entropic barriers.“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.”
   2. UncheckedEntropic barriers appear to hinder classical local algorithms and quantum annealing in a similar way, on 3-XORSAT over 3-regular random graphs.“We study, both analytically and numerically, several optimization algorithms, finding that entropic barriers affect in a similar way classical local algorithms and quantum annealing.”
   3. UncheckedFor the adiabatic algorithm on this problem, the hardness found is not tunnelling under large barriers, yet it still leads to exponentially long annealing times.“For the adiabatic algorithm, the difficulty we identify is distinct from that of tunneling under large barriers, but does, nonetheless, give rise to exponential running (annealing) times.”