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Canonical transforms, quantumness and probability representation of quantum mechanics

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Margarita A. Man'ko, Vladimir I. Man'ko

Quantum Physics · Submitted 1 Mar 2011

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

The authors' main claim The linear canonical transforms of position and momentum are used to construct the tomographic probability representation of quantum states where the fair probability distribution determines the quantum state instead of the wave function or density matrix.

how it is stated · asserted 1.00 read the record →

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arXiv ID1103.0193 (version 1)
Pith IDNXBEWVNN, Pith's permanent record of this paper and its review
CitationMargarita A. Man'ko, Vladimir I. Man'ko. "Canonical transforms, quantumness and probability representation of quantum mechanics." arXiv:1103.0193 (2011). https://pith.science/paper/NXBEWVNN
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,235 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.05 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.14 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

The linear canonical transforms of position and momentum are used to construct the tomographic probability representation of quantum states where the fair probability distribution determines the quantum state instead of the wave function or density matrix. The example of Moshinsky shutter problem is considered.

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 linear canonical transforms of position and momentum are used to construct the tomographic probability representation of quantum states where the fair probability distribution determines the quantum state instead of the wave function or density matrix. contribution 0.74 0.70 0.69 asserted 1.00
s1 The example of Moshinsky shutter problem is considered. contribution 0.76 0.63 0.03 asserted 0.64

What kind of paper the classifier reports this is: method or tool 0.78 · evidence from proof or derivation 0.98.

What was examined, and what was not

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  • references and citing sentences
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  • P abstract
not run
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  • T body sentences
  • C citations
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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 linear canonical transforms of position and momentum are used to construct the tomographic probability representation of quantum states where the fair probability distribution determines the quantum state instead of the wave function or density matrix. The example of Moshinsky shutter problem is considered.

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