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PEPS as unique ground states of local Hamiltonians
David Perez-Garcia, Frank Verstraete, J. Ignacio Cirac +1
In this paper we consider projected entangled pair states (PEPS) on arbitrary lattices. We construct local parent Hamiltonians for each PEPS and isolate a condition under which the…
Measurement-based quantum computation beyond the one-way model
D. Gross, J. Eisert, N. Schuch +1
We introduce novel schemes for quantum computing based on local measurements on entangled resource states. This work elaborates on the framework established in [Phys. Rev. Lett. 98…
Unbounded violation of tripartite Bell inequalities
D. Perez-Garcia, M. M Wolf, C. Palazuelos +2
We prove that there are tripartite quantum states (constructed from random unitaries) that can lead to arbitrarily large violations of Bell inequalities for dichotomic observables.…