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Modified relative entropy of entanglement for multi-party systems

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An Min Wang

Quantum Physics · Submitted 6 Dec 2000

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

The authors' main claim Through computing the modified relative entropy of entanglement of some important and interesting examples, we display the main behaviors and elementary properties of the modified relative entropy of entanglement and compare it with the generalized entanglement of formation.

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arXiv IDquant-ph/0012029 (version 3)
Pith IDZJOHYKW4, Pith's permanent record of this paper and its review
CitationAn Min Wang. "Modified relative entropy of entanglement for multi-party systems." arXiv:quant-ph/0012029 (2000). https://pith.science/paper/ZJOHYKW4
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,692 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.11 · randomized assignment 0.01 · states quantitative result 0.30 · compares with prior results 0.94 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v3. Results and the main claim are underlined; .

We present the modified relative entropy of entanglement for multi-party systems by a given relative density matrix which is spanned by a linear combination of the direct products of so-called basis of relative density matrices and reduced density matrices for every party. For three qubit system in a pure state we derive out the explicit and closed expression of our relative density matrix which is a function of the components of the state vector of three qubits. Through computing the modified relative entropy of entanglement of some important and interesting examples, we display the main behaviors and elementary properties of the modified relative entropy of entanglement and compare it with the generalized entanglement of formation. Moreover, we also propose an assistant, as the upper bound, of the modified relative entropy of entanglement.

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#sentencerolethe authors' own workstates the main conclusionstrength
s0 We present the modified relative entropy of entanglement for multi-party systems by a given relative density matrix which is spanned by a linear combination of the direct products of so-called basis of relative density matrices and reduced density matrices for every party. contribution 0.97 0.92 0.22 asserted 1.00
s1 For three qubit system in a pure state we derive out the explicit and closed expression of our relative density matrix which is a function of the components of the state vector of three qubits. result 0.65 0.96 0.11 asserted 1.00
s2 Through computing the modified relative entropy of entanglement of some important and interesting examples, we display the main behaviors and elementary properties of the modified relative entropy of entanglement and compare it with the generalized entanglement of formation. result 0.54 0.96 0.26 asserted 1.00
s3 Moreover, we also propose an assistant, as the upper bound, of the modified relative entropy of entanglement. contribution 0.89 0.93 0.16 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.64 · evidence from proof or derivation 0.93.

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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 the modified relative entropy of entanglement for multi-party systems by a given relative density matrix which is spanned by a linear combination of the direct products of so-called basis of relative density matrices and reduced density matrices for every party. For three qubit system in a pure state we derive out the explicit and closed expression of our relative density matrix which is a function of the components of the state vector of three qubits. Through computing the modified relative entropy of entanglement of some important and interesting examples, we display the main behaviors and elementary properties of the modified relative entropy of entanglement and compare it with the generalized entanglement of formation. Moreover, we also propose an assistant, as the upper bound, of the modified relative entropy of entanglement.

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