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Flexible ansatz for N-body Configuration Interaction

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Taewon David Kim, Ramón Alain Miranda-Quintana, Michael Richer, Paul W. Ayers

Chemical Physics · Submitted 1 Feb 2021

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim FANCI provides a powerful framework for exploring, developing, and testing new wavefunction forms.

how it is stated · asserted 1.00 read the record →

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arXiv ID2102.01171 (version 1)
Pith IDEJFDFDR5, Pith's permanent record of this paper and its review
CitationMichael Richer, Paul W. Ayers, Ram\'on Alain Miranda-Quintana, Taewon David Kim. "Flexible ansatz for N-body Configuration Interaction." arXiv:2102.01171 (2021). https://pith.science/paper/EJFDFDR5
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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.09 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.13 · mentions code or data availability 0.03.

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arXiv listing abstract v1. Results and the main claim are underlined; .

We present a Flexible Ansatz for N-body Configuration Interaction (FANCI) that includes any multideterminant wavefunction. This ansatz is a generalization of the Configuration Interaction (CI) wavefunction, where the coefficients are replaced by a specified function of certain parameters. By making an appropriate choice for this function, we can reproduce popular wavefunction structures like CI, Coupled-Cluster, Tensor Network States, and geminal-product wavefunctions. The universality of this framework suggests a programming structure that allows for the easy construction and optimization of arbitrary wavefunctions. Here, we will discuss the structures of the FANCI framework and its implications for wavefunction properties, particularly accuracy, cost, and size-consistency. We demonstrate the flexibility of this framework by reconstructing popular wavefunction ans\"{a}tze and modifying them to construct novel wavefunction forms. FANCI provides a powerful framework for exploring, developing, and testing new wavefunction forms.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We present a Flexible Ansatz for N-body Configuration Interaction (FANCI) that includes any multideterminant wavefunction. contribution 0.99 0.93 0.22 asserted 1.00
s1 This ansatz is a generalization of the Configuration Interaction (CI) wavefunction, where the coefficients are replaced by a specified function of certain parameters. method 0.74 0.55 0.08 asserted 1.00
s2 By making an appropriate choice for this function, we can reproduce popular wavefunction structures like CI, Coupled-Cluster, Tensor Network States, and geminal-product wavefunctions. contribution 0.47 0.61 0.14 asserted 0.62
s3 The universality of this framework suggests a programming structure that allows for the easy construction and optimization of arbitrary wavefunctions. interpretation 0.95 0.34 0.22 hedged possibility 0.96
s4 Here, we will discuss the structures of the FANCI framework and its implications for wavefunction properties, particularly accuracy, cost, and size-consistency. contribution 0.79 0.38 0.09 asserted 0.78
s5 We demonstrate the flexibility of this framework by reconstructing popular wavefunction ans\"{a}tze and modifying them to construct novel wavefunction forms. contribution 0.74 0.92 0.17 asserted 1.00
s6 FANCI provides a powerful framework for exploring, developing, and testing new wavefunction forms. interpretation 0.88 0.34 0.58 asserted 1.00

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from argument 0.74.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

We present a Flexible Ansatz for N-body Configuration Interaction (FANCI) that includes any multideterminant wavefunction. This ansatz is a generalization of the Configuration Interaction (CI) wavefunction, where the coefficients are replaced by a specified function of certain parameters. By making an appropriate choice for this function, we can reproduce popular wavefunction structures like CI, Coupled-Cluster, Tensor Network States, and geminal-product wavefunctions. The universality of this framework suggests a programming structure that allows for the easy construction and optimization of arbitrary wavefunctions. Here, we will discuss the structures of the FANCI framework and its implications for wavefunction properties, particularly accuracy, cost, and size-consistency. We demonstrate the flexibility of this framework by reconstructing popular wavefunction ans\"{a}tze and modifying them to construct novel wavefunction forms. FANCI provides a powerful framework for exploring, developing, and testing new wavefunction forms.

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