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Matrix product operator representations

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Abstract
We show how to construct relevant families of matrix product operators (MPOs) in one and higher dimensions. These form the building blocks for the numerical simulation methods based on matrix product states and projected entangled pair states. In particular, we construct translationally invariant MPOs suitable for time evolution, and show how such descriptions are possible for Hamiltonians with long-range interactions. We show how these tools can be exploited for constructing new algorithms for simulating quantum spin systems.

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Citation

Please use this url to cite or link to this publication:

Chicago
Pirvu, B, V Murg, JI Cirac, and Frank Verstraete. 2010. “Matrix Product Operator Representations.” New Journal of Physics 12.
APA
Pirvu, B., Murg, V., Cirac, J., & Verstraete, F. (2010). Matrix product operator representations. NEW JOURNAL OF PHYSICS, 12.
Vancouver
1.
Pirvu B, Murg V, Cirac J, Verstraete F. Matrix product operator representations. NEW JOURNAL OF PHYSICS. 2010;12.
MLA
Pirvu, B, V Murg, JI Cirac, et al. “Matrix Product Operator Representations.” NEW JOURNAL OF PHYSICS 12 (2010): n. pag. Print.
@article{8589234,
  abstract     = {We show how to construct relevant families of matrix product operators (MPOs) in one and higher dimensions. These form the building blocks for the numerical simulation methods based on matrix product states and projected entangled pair states. In particular, we construct translationally invariant MPOs suitable for time evolution, and show how such descriptions are possible for Hamiltonians with long-range interactions. We show how these tools can be exploited for constructing new algorithms for simulating quantum spin systems.},
  articleno    = {025012},
  author       = {Pirvu, B and Murg, V and Cirac, JI and Verstraete, Frank},
  issn         = {1367-2630},
  journal      = {NEW JOURNAL OF PHYSICS},
  language     = {eng},
  pages        = {13},
  title        = {Matrix product operator representations},
  url          = {http://dx.doi.org/10.1088/1367-2630/12/2/025012},
  volume       = {12},
  year         = {2010},
}

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