RT Journal Article T1 Preparing topological projected entangled pair states on a quantum computer A1 Schwarz, Martin A1 Temme, Kristan A1 Verstraete, Frank A1 Pérez García, David A1 Cubitt, Toby Stanley AB Simulating exotic phases of matter that are not amenable to classical techniques is one of the most important potential applications of quantum information processing. We present an efficient algorithm for preparing a large class of topological quantum states, the G-injective projected entangled pair states (PEPS), on a quantum computer. Important examples include the resonant valence bond states, conjectured to be topological spin liquids. The runtime of the algorithm scales polynomially with the condition number of the PEPS projectors and inverse polynomially in the spectral gap of the PEPS parent Hamiltonian. PB American Physical Society SN 1050-2947 YR 2013 FD 2013-09 LK https://hdl.handle.net/20.500.14352/33366 UL https://hdl.handle.net/20.500.14352/33366 LA eng NO Comunidad de Madrid NO Juan de la Cierva fellowship NO Austrian SFB NO Erwin Schrodinger fellowship NO Austrian FWF NO QUERG NO Austrian FWF SFB DS Docta Complutense RD 14 dic 2025