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Information, Relative Entropy of Entanglement and Irreversibility
Quantum Physics · Submitted 2 Sep 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Previously proposed measures of entanglement, such as entanglement of formation and assistance, are shown to be special cases of the relative entropy of entanglement.
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Previously proposed measures of entanglement, such as entanglement of formation and assistance, are shown to be special cases of the relative entropy of entanglement. The difference between these measures for an ensemble of mixed states is shown to depend on the availability of classical information about particular members of the ensemble. Based on this, relations between relative entropy of entanglement and mutual information are derived.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Previously proposed measures of entanglement, such as entanglement of formation and assistance, are shown to be special cases of the relative entropy of entanglement. | result 0.84 | 0.79 | 0.43 | asserted 1.00 |
| s1 | The difference between these measures for an ensemble of mixed states is shown to depend on the availability of classical information about particular members of the ensemble. | result 0.99 | 0.89 | 0.22 | asserted 1.00 |
| s2 | Based on this, relations between relative entropy of entanglement and mutual information are derived. | result 0.81 | 0.91 | 0.26 | asserted 1.00 |
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Original abstract
Previously proposed measures of entanglement, such as entanglement of formation and assistance, are shown to be special cases of the relative entropy of entanglement. The difference between these measures for an ensemble of mixed states is shown to depend on the availability of classical information about particular members of the ensemble. Based on this, relations between relative entropy of entanglement and mutual information are derived.
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