Matrix product states represent ground states faithfully
Top Cited Papers
- 20 March 2006
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 73 (9) , 094423
- https://doi.org/10.1103/physrevb.73.094423
Abstract
We quantify how well matrix product states approximate exact ground states of one-dimensional quantum spin systems as a function of the number of spins and the entropy of blocks of spins. We also investigate the convex set of local reduced density operators of translational invariant systems. The results give a theoretical justification for the high accuracy of renormalization group algorithms and justifies their use even in the case of critical systems.Keywords
All Related Versions
This publication has 33 references indexed in Scilit:
- Adiabatic time evolution in spin systemsPhysical Review A, 2004
- New Frontiers in Quantum Information With Atoms and IonsPhysics Today, 2004
- Is entanglement monogamous?IBM Journal of Research and Development, 2004
- Symmetric Extensions of Quantum States and Local Hidden Variable TheoriesPhysical Review Letters, 2003
- Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chainsEurophysics Letters, 1998
- Universal Quantum SimulatorsScience, 1996
- Thermodynamic Limit of Density Matrix RenormalizationPhysical Review Letters, 1995
- Density matrix formulation for quantum renormalization groupsPhysical Review Letters, 1992
- An application of Bell's inequalities to a quantum state extension problemLetters in Mathematical Physics, 1989
- The renormalization group: Critical phenomena and the Kondo problemReviews of Modern Physics, 1975