831 citations · 6k across the 58 of their papers we have counts for
5 papers · 2 filters
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…
Optimality of programmable quantum measurements
David Perez-Garcia
We prove that for a programmable measurement device that approximates every POVM with an error , the dimension of the program space has to grow at least polynomially with $\…
Criticality, the area law, and the computational power of PEPS
F. Verstraete, M. M. Wolf, D. Perez-Garcia +1
The projected entangled pair state (PEPS) representation of quantum states on two-dimensional lattices induces an entanglement based hierarchy in state space. We show that the lowe…