title: Preparing projected entangled pair states on a quantum computer.
abstract: We present a quantum algorithm to prepare injective projected entangled pair states (PEPS) on a quantum computer, a class of open tensor networks representing quantum states. The run time of our algorithm scales polynomially with the inverse of the minimum condition number of the PEPS projectors and, essentially, with the inverse of the spectral gap of the PEPS's parent Hamiltonian.
authors.affiliation: Vienna Center for Quantum Science and Technology, Faculty of Physics, University of Vienna, Vienna, Austria.
authors.forename: Martin
authors.initials: M
authors.lastname: Schwarz
authors.forename: Kristan
authors.initials: K
authors.lastname: Temme
authors.forename: Frank
authors.initials: F
authors.lastname: Verstraete