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Quantum Entanglement involved in Grover's and Shor's algorithms: the four-qubit case

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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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Hamza Jaffali, Frédéric Holweck

Quantum Physics · Submitted 21 Nov 2018

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

The authors' main claim In other words, we try to find what are the different entanglement SLOCC classes that can be generated by these two algorithms.

how it is stated · asserted 0.75 read the record →

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arXiv ID1811.08894 (version 2)
Pith IDHCVN3PX5, Pith's permanent record of this paper and its review
CitationFr\'ed\'eric Holweck, Hamza Jaffali. "Quantum Entanglement involved in Grover's and Shor's algorithms: the four-qubit case." arXiv:1811.08894 (2018). https://pith.science/paper/HCVN3PX5
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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, 4,165 input tokens.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.54 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.30 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

In this paper, we study the nature of entanglement in quantum Grover's and Shor's algorithms. So far, the authors who have been interested in this problem have approached the question quantitatively by introducing entanglement measures (numerical ones most of the time). One can ask a different question: what about a qualitative measure of entanglement ? In other words, we try to find what are the different entanglement SLOCC classes that can be generated by these two algorithms. We treat in this article the case of pure four-qubit systems.

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 In this paper, we study the nature of entanglement in quantum Grover's and Shor's algorithms. contribution 0.95 0.77 0.04 asserted 0.67
s1 So far, the authors who have been interested in this problem have approached the question quantitatively by introducing entanglement measures (numerical ones most of the time). background 0.98 0.04 0.02 asserted 1.00
s2 One can ask a different question: what about a qualitative measure of entanglement ? gap 0.87 0.07 0.03 unclear 0.63
s3 In other words, we try to find what are the different entanglement SLOCC classes that can be generated by these two algorithms. contribution 0.95 0.57 0.08 asserted 0.75
s4 We treat in this article the case of pure four-qubit systems. contribution 0.42 0.74 0.03 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from proof or derivation 0.89.

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
levels run
  • 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

In this paper, we study the nature of entanglement in quantum Grover's and Shor's algorithms. So far, the authors who have been interested in this problem have approached the question quantitatively by introducing entanglement measures (numerical ones most of the time). One can ask a different question: what about a qualitative measure of entanglement ? In other words, we try to find what are the different entanglement SLOCC classes that can be generated by these two algorithms. We treat in this article the case of pure four-qubit systems.

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Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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