Entropy Scaling and Simulability by Matrix Product States

Author(s): N. Schuch, M. M. Wolf, F. Verstraete, J. I. Cirac

Journal: Physical Review Letters

Volume: 100

Page(s): 030504

Year: 2008

DOI Number: 10.1103/PhysRevLett.100.030504

Link: Link to publication

Abstract:

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 and Renyi entropies (see Table I). Most notably, even states obeying a strict area law for the von Neumann entropy are not necessarily approximable by MPS. We apply these results to illustrate that quantum computers might outperform classical computers in simulating the time evolution of quantum systems, even for completely translational invariant systems subject to a time independent Hamiltonian.

Note: http://arxiv.org/abs/0705.0292

File: Link to PDF

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