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Majorization of quantum polarization distributions

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Alfredo Luis, Gonzalo Donoso

Quantum Physics · Submitted 3 Oct 2016

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

The authors' main claim In particular we test Lieb's conjecture regarding classical-like states as the most polarized and a complementary conjecture that the most unpolarized pure states are the most nonclassical.

how it is stated · speculative 0.71 read the record →

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arXiv ID1610.00408 (version 2)
Pith IDWEJ4RJ23, Pith's permanent record of this paper and its review
CitationAlfredo Luis, Gonzalo Donoso. "Majorization of quantum polarization distributions." arXiv:1610.00408 (2016). https://pith.science/paper/WEJ4RJ23
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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, 3,589 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.09 · human participants 0.02 · controlled comparison 0.17 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.73 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

Majorization provides a rather powerful partial-order classification of probability distributions depending only on the spread of the statistics, and not on the actual numerical values of the variable being described. We propose to apply majorization as a meta-measure of quantum polarization fluctuations, this is to say of the degree of polarization. We compare the polarization fluctuations of the most relevant classes of quantum and classical-like states. In particular we test Lieb's conjecture regarding classical-like states as the most polarized and a complementary conjecture that the most unpolarized pure states are the most nonclassical.

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 Majorization provides a rather powerful partial-order classification of probability distributions depending only on the spread of the statistics, and not on the actual numerical values of the variable being described. background 1.00 0.04 0.04 asserted 1.00
s1 We propose to apply majorization as a meta-measure of quantum polarization fluctuations, this is to say of the degree of polarization. contribution 0.98 0.74 0.16 asserted 0.77
s2 We compare the polarization fluctuations of the most relevant classes of quantum and classical-like states. contribution 0.84 0.90 0.05 asserted 0.81
s3 In particular we test Lieb's conjecture regarding classical-like states as the most polarized and a complementary conjecture that the most unpolarized pure states are the most nonclassical. contribution 0.83 0.63 0.20 speculative 0.71

What kind of paper the classifier reports this is: method or tool 0.66 · evidence from proof or derivation 0.66.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • 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

Majorization provides a rather powerful partial-order classification of probability distributions depending only on the spread of the statistics, and not on the actual numerical values of the variable being described. We propose to apply majorization as a meta-measure of quantum polarization fluctuations, this is to say of the degree of polarization. We compare the polarization fluctuations of the most relevant classes of quantum and classical-like states. In particular we test Lieb's conjecture regarding classical-like states as the most polarized and a complementary conjecture that the most unpolarized pure states are the most nonclassical.

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