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Fundamentals of quantum mutual entropy and capacity

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Masanori Ohya

Quantum Physics · Submitted 12 Jun 1998

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

The authors' main claim Therefore in this note we point out that our quantum mutual entropy generalizes others and where the m isuse occurs.

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arXiv IDquant-ph/9806042 (version 2)
Pith IDPDGOAFCX, Pith's permanent record of this paper and its review
CitationMasanori Ohya. "Fundamentals of quantum mutual entropy and capacity." arXiv:quant-ph/9806042 (1998). https://pith.science/paper/PDGOAFCX
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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,356 input tokens.

What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.31 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.83 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

The study of mutual entropy (information) and capacity in classica l system was extensively done after Shannon by several authors like Kolmogor ov and Gelfand. In quantum systems, there have been several definitions of t he mutual entropy for classical input and quantum output. In 1983, the autho r defined the fully quantum mechanical mutual entropy by means of the relati ve entropy of Umegaki, and he extended it to general quantum systems by the relative entropy of Araki and Uhlmann. When the author introduced the quantu m mutual entropy, he did not indicate that it contains other definitions of the mutual entropy including classical one, so that there exist several misu nderstandings for the use of the mutual entropy (information) to compute the capacity of quantum channels. Therefore in this note we point out that our quantum mutual entropy generalizes others and where the m isuse occurs.

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 The study of mutual entropy (information) and capacity in classica l system was extensively done after Shannon by several authors like Kolmogor ov and Gelfand. background 1.00 0.03 0.02 asserted 1.00
s1 In quantum systems, there have been several definitions of t he mutual entropy for classical input and quantum output. background 1.00 0.04 0.03 asserted 1.00
s2 In 1983, the autho r defined the fully quantum mechanical mutual entropy by means of the relati ve entropy of Umegaki, and he extended it to general quantum systems by the relative entropy of Araki and Uhlmann. background 0.72 0.64 0.05 asserted 1.00
s3 When the author introduced the quantu m mutual entropy, he did not indicate that it contains other definitions of the mutual entropy including classical one, so that there exist several misu nderstandings for the use of the mutual entropy (information) to compute the capacity of quantum channels. gap 0.94 0.47 0.10 asserted 0.99
s4 Therefore in this note we point out that our quantum mutual entropy generalizes others and where the m isuse occurs. contribution 1.00 0.83 0.87 asserted 0.99

What kind of paper the classifier reports this is: position or commentary 0.99 · evidence from argument 0.63.

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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

The study of mutual entropy (information) and capacity in classica l system was extensively done after Shannon by several authors like Kolmogor ov and Gelfand. In quantum systems, there have been several definitions of t he mutual entropy for classical input and quantum output. In 1983, the autho r defined the fully quantum mechanical mutual entropy by means of the relati ve entropy of Umegaki, and he extended it to general quantum systems by the relative entropy of Araki and Uhlmann. When the author introduced the quantu m mutual entropy, he did not indicate that it contains other definitions of the mutual entropy including classical one, so that there exist several misu nderstandings for the use of the mutual entropy (information) to compute the capacity of quantum channels. Therefore in this note we point out that our quantum mutual entropy generalizes others and where the m isuse occurs.

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