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Computational Complexity of interacting electrons and fundamental limitations of Density Functional Theory
Norbert Schuch, Frank Verstraete
One of the central problems in quantum mechanics is to determine the ground state properties of a system of electrons interacting via the Coulomb potential. Since its introduction…
Asymptotic Error Rates in Quantum Hypothesis Testing
K. M. R. Audenaert, M. Nussbaum, A. Szkola +1
We consider the problem of discriminating between two different states of a finite quantum system in the setting of large numbers of copies, and find a closed form expression for t…
Strings, Projected Entangled Pair States, and variational Monte Carlo methods
Norbert Schuch, Michael M. Wolf, Frank Verstraete +1
We introduce string-bond states, a class of states obtained by placing strings of operators on a lattice, which encompasses the relevant states in Quantum Information. For string-b…
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…
Entropy scaling and simulability by Matrix Product States
Norbert Schuch, Michael M. Wolf, Frank Verstraete +1
We investigate the relation between the scaling of block entropies and the efficient simulability by Matrix Product States (MPS), and clarify the connection both for von Neumann an…
Area laws in quantum systems: mutual information and correlations
M. M. Wolf, F. Verstraete, M. B. Hastings +1
The holographic principle states that on a fundamental level the information content of a region should depend on its surface area rather than on its volume. This counterintuitive…
Classical simulation of infinite-size quantum lattice systems in two spatial dimensions
J. Jordan, R. Orus, G. Vidal +2
We present an algorithm to simulate two-dimensional quantum lattice systems in the thermodynamic limit. Our approach builds on the {\em projected entangled-pair state} algorithm fo…