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• W2783751034 abstract "We describe an approach to fix the gauge degrees of freedom in tensor networks, including those with closed loops, which allows a canonical form for arbitrary tensor networks to be realized. Additionally, a measure for the internal correlations present in a tensor network is proposed, which quantifies the extent of resonances around closed loops in the network. Finally we describe an algorithm for the optimal truncation of an internal index from a tensor network, based upon proper removal of the redundant internal correlations. These results, which offer a unified theoretical framework for the manipulation of tensor networks with closed loops, can be applied to improve existing tensor network methods for the study of many-body systems and may also constitute key algorithmic components of sophisticated new tensor methods." @default.
• W2783751034 created "2018-01-26" @default.
• W2783751034 creator A5064648737 @default.
• W2783751034 date "2018-08-31" @default.
• W2783751034 modified "2023-09-27" @default.
• W2783751034 title "Gauge fixing, canonical forms, and optimal truncations in tensor networks with closed loops" @default.
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• W2783751034 doi "https://doi.org/10.1103/physrevb.98.085155" @default.
• W2783751034 hasPublicationYear "2018" @default.
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