418 citations · 2.2k across the 78 of their papers we have counts for
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Elementary excitations in gapped quantum spin systems
Jutho Haegeman, Spyridon Michalakis, Bruno Nachtergaele +3
For quantum lattice systems with local interactions, the Lieb-Robinson bound acts as an alternative for the strict causality of relativistic systems and allows to prove many intere…
Approximating the ground state of gapped quantum spin systems
Eman Hamza, Spyridon Michalakis, Bruno Nachtergaele +1
We consider quantum spin systems defined on finite sets equipped with a metric. In typical examples, is a large, but finite subset of Z^d. For finite range Hamiltonians wit…
Quantum logic as a sum over classical logic gates
Bruno Nachtergaele, Vipul Periwal
It is shown that certain natural quantum logic gates, {\it i.e.} unitary time evolution matrices for spin-\frac{1}{2} quantum spins, can be represented as sums, with appropriate ph…