593 citations · 1.7k across the 10 of their papers we have counts for
9 papers · 1 filter
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.…
Matrix Product State Representations
D. Perez-Garcia, F. Verstraete, M. M. Wolf +1
This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and wi…
Quantum Capacities of Channels with small Environment
Michael M. Wolf, David Perez-Garcia
We investigate the quantum capacity of noisy quantum channels which can be represented by coupling a system to an effectively small environment. A capacity formula is derived for a…
Quantum Capacities of Bosonic Channels
Michael M. Wolf, David Perez-Garcia, Geza Giedke
We investigate the capacity of bosonic quantum channels for the transmission of quantum information. Achievable rates are determined from measurable moments of the channel by showi…