60 citations · 394 across the 23 of their papers we have counts for
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Locality at the boundary implies gap in the bulk for 2D PEPS
Michael J. Kastoryano, Angelo Lucia, David Perez-Garcia
Proving that the parent Hamiltonian of a Projected Entangled Pair State (PEPS) is gapped remains an important open problem. We take a step forward in solving this problem by showin…
Divide and conquer method for proving gaps of frustration free Hamiltonians
Michael J. Kastoryano, Angelo Lucia
Providing system-size independent lower bounds on the spectral gap of local Hamiltonian is in general a hard problem. For the case of finite-range, frustration free Hamiltonians on…
Superadditivity of quantum relative entropy for general states
Angela Capel, Angelo Lucia, David Pérez-García
The property of superadditivity of the quantum relative entropy states that, in a bipartite system , for every density operato…
Stability and area law for rapidly mixing quantum dissipative systems
Angelo Lucia
In this thesis we study properties of open quantum dissipative evolutions of spin systems on lattices described by Lindblad generators, in a particular regime that we denote rapid…