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谁能用大白话解释一下 谱隙问题 怎么就哥德尔不完备了？ - 知乎 We show that the spectral gap problem is undecidable Specifically, we construct families of translationally-invariant, nearest-neighbour Hamiltonians on a 2D square lattice of d-level quantum systems (d constant), for which determining whether the system is gapped or gapless is an undecidable problem