Projected entangled-pair states
WebMar 9, 2024 · Abstract. Proving that the parent Hamiltonian of a Projected Entangled Pair State (PEPS) is gapped remains an important open problem. We take a step forward in solving this problem by showing two results: first, we identify an approximate factorization condition on the boundary state of rectangular subregions that is sufficient to prove that ... Webprojected entangled-pair states (PEPS) seems to be the natural choice. A straightforward application of PEPS to the generative modeling of images has been prohibited by a lack of e cient algorithms and, therefore, previous works have taken recourse to matrix product states [22] and tree tensor networks [23]. The application of PEPS
Projected entangled-pair states
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WebApr 13, 2024 · It is shown that sets of matrix product states (MPS) with open boundary conditions, tree tensor network states, and the multiscale entanglement renormalization ansatz are always closed, whereas sets of translation-invariant MPS with periodic boundary conditions (PBC), heterogeneous M PS with PBC, and projected entangled pair states are ... WebApr 14, 2024 · However, a more general tensor model known as the projected entangled pair state (PEPS) tensor network has not been widely considered for colour image and video …
WebJan 6, 2024 · Recently, the two-dimensional tensor network class of infinite entangled pair states gained new ground state optimization methods based on automatic differentiation, which are at the same time highly accurate and simple to implement. WebNov 20, 2024 · Matrix product states and projected entangled pair states (PEPS) are powerful analytical and numerical tools to assess quantum many-body systems in one and higher dimensions, respectively....
WebApr 14, 2024 · Working on the virtual level of a projected entangled pair state, we find matrix product operators (MPOs) that realize all unitary topological symmetries for the toric and … Webusing a method for strongly interacting two-dimensional systems, the projected entangled-pair states, to realize an effectivegeneral-purpose simulator of quantum algorithms. The …
WebThis article reviews recent developments in the theoretical understanding and the numerical implementation of variational renormalization group methods using matrix product states …
WebApr 14, 2024 · Working on the virtual level of a projected entangled pair state, we find matrix product operators (MPOs) that realize all unitary topological symmetries for the toric and color codes. いずれにしても 英語WebAn infinite projected entangled pair state (iPEPS) is a tensor network ansatz to represent a quantum state on an infinite 2D lattice whose accuracy is controlled by the bond … ouachita tiger tunesWebMatrix product states and projected entangled pair states (PEPS) are powerful analytical and numerical tools to assess quantum many-body systems in one and higher … ouachita river cabinsWebWe show that projected entangled-pair states (PEPS) in two spatial dimensions can describe chiral topological states by explicitly constructing a family of such states with a … いずれにしても 例文WebOct 1, 2014 · Let us now present two families of well-known and useful TN states. These are Matrix Product States (MPS) and Projected Entangled Pair States (PEPS). Of course these two are not the only families of TN states, yet these will be the only two that we will consider in some detail here. いずれにせよWebRenormalization and tensor product states in spin chains and lattices J Ignacio Cirac and Frank Verstraete-Tensor network techniques for the ... and projected entangled pair states. In particular, we construct translationally invariant MPOs suitable for time evolution, and show how such descriptions are ... いずれにしても 言い換えWebJun 10, 2013 · A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States June 2013 Source arXiv Authors: Roman Orus Donostia International Physics Center /... ouachita trail gpx