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Generalization of the entanglement of formation for multi-party systems

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An Min Wang

Quantum Physics · Submitted 10 Nov 2000

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

The authors' main claim Then, we suggest the generalization of the entanglement of formation for multi-party systems which is consistent with the regular definition for two-party systems and our definition for three-party systems.

how it is stated · hedged possibility 0.92 read the record →

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arXiv IDquant-ph/0011040 (version 4)
Pith IDNYF2MJCN, Pith's permanent record of this paper and its review
CitationAn Min Wang. "Generalization of the entanglement of formation for multi-party systems." arXiv:quant-ph/0011040 (2000). https://pith.science/paper/NYF2MJCN
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,287 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.15 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.19 · compares with prior results 0.26 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

We present the generalization of the entanglement of formation for three-party systems in a pure state. For three qubit system we derive out its explicit and closed expression which is a linear combination of the binary entropy functions with various arguments, and these arguments are clearly determined in terms of the components of state vector of three qubits. As a reasonable measure of entanglement, the main behaviors and elementary properties of this generalized entanglement of formation are showed through discussing some important and interesting examples. Moreover, we propose how to extend our definition to a mixed state in according to the familiar idea. Then, we suggest the generalization of the entanglement of formation for multi-party systems which is consistent with the regular definition for two-party systems and our definition for three-party systems.

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 the generalization of the entanglement of formation for three-party systems in a pure state. contribution 1.00 0.94 0.35 asserted 1.00
s1 For three qubit system we derive out its explicit and closed expression which is a linear combination of the binary entropy functions with various arguments, and these arguments are clearly determined in terms of the components of state vector of three qubits. result 0.87 0.96 0.27 asserted 1.00
s2 As a reasonable measure of entanglement, the main behaviors and elementary properties of this generalized entanglement of formation are showed through discussing some important and interesting examples. contribution 0.55 0.92 0.16 asserted 1.00
s3 Moreover, we propose how to extend our definition to a mixed state in according to the familiar idea. contribution 0.70 0.88 0.08 hedged possibility 0.65
s4 Then, we suggest the generalization of the entanglement of formation for multi-party systems which is consistent with the regular definition for two-party systems and our definition for three-party systems. contribution 0.96 0.91 0.60 hedged possibility 0.92

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 1.00.

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  • T body sentences
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  • R cross-paper relations

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 the generalization of the entanglement of formation for three-party systems in a pure state. For three qubit system we derive out its explicit and closed expression which is a linear combination of the binary entropy functions with various arguments, and these arguments are clearly determined in terms of the components of state vector of three qubits. As a reasonable measure of entanglement, the main behaviors and elementary properties of this generalized entanglement of formation are showed through discussing some important and interesting examples. Moreover, we propose how to extend our definition to a mixed state in according to the familiar idea. Then, we suggest the generalization of the entanglement of formation for multi-party systems which is consistent with the regular definition for two-party systems and our definition for three-party systems.

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