Portal de Periódicos da CAPES

Matrix product state representations

2007; Rinton Press; Volume: 7; Issue: 5 Linguagem: Inglês

10.5555/2011832.2011833

1533-7146

David Pérez-Garcı́a, Frank Verstraete, Michael M. Wolf, J. I. Cirac,

Quantum Computing Algorithms and Architecture

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.