منابع مشابه
Spectral Gap Amplification
A large number of problems in science can be solved by preparing a specific eigenstate of some Hamiltonian H. The generic cost of quantum algorithms for these problems is determined by the inverse spectral gap of H for that eigenstate and the cost of evolving with H for some fixed time. The goal of spectral gap amplification is to construct a Hamiltonian H ′ with the same eigenstate as H but a ...
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The detectability lemma is a useful tool for probing the structure of gapped ground states of frustration-free Hamiltonians of lattice spin models. The lemma provides an estimate on the error incurred by approximating the ground space projector with a product of local projectors. We provide a simpler proof for the detectability lemma which applies to an arbitrary ordering of the local projector...
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ژورنال
عنوان ژورنال: SIAM Journal on Computing
سال: 2013
ISSN: 0097-5397,1095-7111
DOI: 10.1137/120871997