Abstract
We investigate the relation between the scaling of block entropies and the efficient simulability by matrix product states (MPSs) and clarify the connection both for von Neumann and Rényi entropies. Most notably, even states obeying a strict area law for the von Neumann entropy are not necessarily approximable by MPSs. 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.
Original language | English |
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Article number | 030504 |
Journal | Physical Review Letters |
Volume | 100 |
Issue number | 3 |
DOIs | |
State | Published - 25 Jan 2008 |
Externally published | Yes |