Matrix product operator representations

Autor(en)

Bogdan Corneliu Pirvu, Valentin Murg, J. Ignacio Cirac, Frank Verstraete

Abstrakt

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.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Max-Planck-Institut für Quantenoptik

Journal

New Journal of Physics

Band

12

Anzahl der Seiten

13

ISSN

1367-2630

DOI

https://doi.org/10.1088/1367-2630/12/2/025012

Publikationsdatum

02-2010

Peer-reviewed

Ja

ÖFOS 2012

103025 Quantenmechanik

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/803a3229-1432-4ac8-87e6-8fc144c29945