Classical simulation of quantum many-body systems with a tree tensor network
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- 23 August 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 74 (2) , 022320
- https://doi.org/10.1103/physreva.74.022320
Abstract
We show how to efficiently simulate a quantum many-body system with tree structure when its entanglement (Schmidt number) is small for any bipartite split along an edge of the tree. As an application, we show that any one-way quantum computation on a tree graph can be efficiently simulated with a classical computer.Keywords
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This publication has 23 references indexed in Scilit:
- The density-matrix renormalization groupReviews of Modern Physics, 2005
- Improved simulation of stabilizer circuitsPhysical Review A, 2004
- Efficient Simulation of One-Dimensional Quantum Many-Body SystemsPhysical Review Letters, 2004
- Stripeansätzefrom exactly solved modelsPhysical Review B, 2001
- Quantum spin- models on the Cayley tree - optimum ground state approachZeitschrift für Physik B Condensed Matter, 1999
- Numerical renormalization approach to two-dimensional quantum antiferromagnets with valence-bond-solid type ground stateNew Journal of Physics, 1999
- A density matrix renormalization group approach to interacting quantum systems on Cayley treesJournal of Physics: Condensed Matter, 1997
- Finitely correlated states on quantum spin chainsCommunications in Mathematical Physics, 1992
- Ground states of VBS models on cayley treesJournal of Statistical Physics, 1992
- Valence bond ground states in isotropic quantum antiferromagnetsCommunications in Mathematical Physics, 1988