منابع مشابه
Categorical Tensor Network States
Jacob D. Biamonte, Stephen R. Clark and Dieter Jaksch Oxford University Computing Laboratory, Parks Road Oxford, OX1 3QD, United Kingdom Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore Keble College, Parks Road, University of Oxford, Oxford OX1 3PG, United Kingdom Clarendon Laboratory, Department of Physics, University of Oxford,...
متن کاملLectures on Tensor Network States
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متن کاملPlaquette renormalization scheme for tensor network states.
We present a method for contracting a square-lattice tensor network in two dimensions based on auxiliary tensors accomplishing successive truncations (renormalization) of eight-index tensors for 2 × 2 plaquettes into four-index tensors. Since all approximations are done on the wave function (which also can be interpreted in terms of different kinds of tensor networks), the scheme is variational...
متن کاملMultigrid algorithms for tensor network states.
The widely used density matrix renormalization group (DRMG) method often fails to converge in systems with multiple length scales, such as lattice discretizations of continuum models and dilute or weakly doped lattice models. The local optimization employed by DMRG to optimize the wave function is ineffective in updating large-scale features. Here we present a multigrid algorithm that solves th...
متن کاملSecond renormalization of tensor-network states.
We propose a second renormalization group method to handle the tensor-network states or models. This method dramatically reduces the truncation error of the tensor renormalization group. It allows physical quantities of classical tensor-network models or tensor-network ground states of quantum systems to be accurately and efficiently determined.
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ژورنال
عنوان ژورنال: AIP Advances
سال: 2011
ISSN: 2158-3226
DOI: 10.1063/1.3672009