Classical simulation of quantum many-body systems with a tree tensor network

Details Classical simulation of quantum many-body systems with a tree tensor network Classical simulation of quantum many-body systems with a tree tensor network

2005-11-08

arxiv.org/abs/quant-ph/0511070v2

Phys. Rev. A 74, 022320 (2006)

Physics

Quantum Physics

4 pages,7 figures

Scientific paper

10.1103/PhysRevA.74.022320

We show how to efficiently simulate a quantum many-body system with tree structure when its entanglement is bounded for any bipartite split along an edge of the tree. This is achieved by expanding the {\em time-evolving block decimation} simulation algorithm for time evolution from a one dimensional lattice to a tree graph, while replacing a {\em matrix product state} with a {\em tree tensor network}. As an application, we show that any one-way quantum computation on a tree graph can be efficiently simulated with a classical computer.

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