RT Journal Article T1 Matrix product state representations A1 Pérez García, David A1 Verstraete, F. A1 Wolf, M.M. A1 Cirac, J.I. AB This work gives a detailed investigation of matrix product state (TOPS) 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. PB Rinton Press SN 1533-7146 YR 2007 FD 2007-07 LK https://hdl.handle.net/20.500.14352/50320 UL https://hdl.handle.net/20.500.14352/50320 LA eng DS Docta Complutense RD 15 dic 2025