Sequentially generated states for the study of two dimensional systems

Mari-Carmen Banuls, David Pérez-Garcia, Michael M. Wolf, Frank Verstraete, J. Ignacio Cirac

Publications: Contribution to journalArticlePeer Reviewed


Matrix product states can be defined as the family of quantum states that can be sequentially generated in a one-dimensional system [Schön et al., Phys. Rev. Lett. 95, 110503 (2005)]. We introduce a family of states that extends this definition to two dimensions. Like in matrix product states, expectation values of few body observables can be efficiently evaluated and, for the case of translationally invariant systems, the correlation functions decay exponentially with the distance. We show that such states are a subclass of projected entangled pair states and investigate their suitability for approximating the ground states of local Hamiltonians.
Original languageEnglish
Article number052306
Number of pages9
JournalPhysical Review A
Issue number5
Publication statusPublished - May 2008

Austrian Fields of Science 2012

  • 103025 Quantum mechanics

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