Matrix product state representations

Authors:
D. Perez-Garcia;F. Verstraete;M. M. Wolf;J. I. Cirac
Affiliations:
Max Planck Institut für Quantenoptik, Garching, Germany and Departamento de Análisis Matemático, Universidad Complutense de Madrid, Madrid, Spain;Institute for Quantum Information, Caltech, Pasadena and Fakultät für Physik, Universität Wien, Wien, Austria;Max Planck Institut für Quantenoptik, Garching, Germany;Max Planck Institut für Quantenoptik, Garching, Germany
Venue:
Quantum Information & Computation
Year:
2007

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Abstract

This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide efficient methods for obtaining them. Results on frustration free Hamiltonians and the generation of MPS are extended, and the use of the MPS-representation for classical simulations of quantum systems is discussed.