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Discord in relation to resource states for measurement-based quantum computation

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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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Eleanor G. Rieffel, Howard M. Wiseman

Quantum Physics · Submitted 3 Jul 2013

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

The authors' main claim Using these criteria, we explain why discord-free states cannot be resources for MBQC, contrary to recent claims [Hoban et al., arXiv:1304.2667v1].

how it is stated · asserted 1.00 read the record →

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arXiv ID1307.1083 (version 4)
Pith IDSXXZCEVC, Pith's permanent record of this paper and its review
CitationEleanor G. Rieffel, Howard M. Wiseman. "Discord in relation to resource states for measurement-based quantum computation." arXiv:1307.1083 (2013). https://pith.science/paper/SXXZCEVC
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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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,308 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.21 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.03 · compares with prior results 0.94 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; .

We consider the issue of what should count as a resource for measurement-based quantum computation (MBQC). While a state that supports universal quantum computation clearly should be considered a resource, universality should not be necessary given the existence of interesting, but less computationally-powerful, classes of MBQCs. Here, we propose minimal criteria for a state to be considered a resource state for MBQC. Using these criteria, we explain why discord-free states cannot be resources for MBQC, contrary to recent claims [Hoban et al., arXiv:1304.2667v1]. Independently of our criteria, we also show that the arguments of Hoban et al., if correct, would imply that Shor's algorithm (for example) can be implemented by measuring discord-free states.

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 We consider the issue of what should count as a resource for measurement-based quantum computation (MBQC). background 0.93 0.61 0.03 unclear 0.84
s1 While a state that supports universal quantum computation clearly should be considered a resource, universality should not be necessary given the existence of interesting, but less computationally-powerful, classes of MBQCs. background 0.88 0.09 0.09 asserted 0.91
s2 Here, we propose minimal criteria for a state to be considered a resource state for MBQC. contribution 0.97 0.90 0.10 asserted 0.90
s3 Using these criteria, we explain why discord-free states cannot be resources for MBQC, contrary to recent claims [Hoban et al., arXiv:1304.2667v1]. result 0.90 0.89 0.61 asserted 1.00
s4 Independently of our criteria, we also show that the arguments of Hoban et al., if correct, would imply that Shor's algorithm (for example) can be implemented by measuring discord-free states. result 0.76 0.89 0.09 asserted 0.81

What kind of paper the classifier reports this is: theoretical result 0.59 · evidence from proof or derivation 0.58.

What was examined, and what was not

sources read
  • arXiv listing abstract v4
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

We consider the issue of what should count as a resource for measurement-based quantum computation (MBQC). While a state that supports universal quantum computation clearly should be considered a resource, universality should not be necessary given the existence of interesting, but less computationally-powerful, classes of MBQCs. Here, we propose minimal criteria for a state to be considered a resource state for MBQC. Using these criteria, we explain why discord-free states cannot be resources for MBQC, contrary to recent claims [Hoban et al., arXiv:1304.2667v1]. Independently of our criteria, we also show that the arguments of Hoban et al., if correct, would imply that Shor's algorithm (for example) can be implemented by measuring discord-free states.

Human review

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How the literature uses it

1 arXiv paper cite this in 1 sentence

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

What it cites · 8 sentences without a confident label

Contests 1 paper
  • In Ref. [ref] , Hoban claim to “show that there exist computations which cannot be efficiently and exactly performed on a classical computer, but can be performed in standard measurement-based quantum computation (MBQC) using resource states with zero entanglement and zero discord.” In this section, we examine their arguments and explain why they do not support this conclusion.

    Measurement-based classical computation · Discussion of Hoban 's claims · contest 0.89

Cites as background 1 paper
  • Other sampling problems that can be achieved efficiently using quantum means and are unlikely to be efficiently achievable classically are known [ref] .

    BosonSampling Is Far From Uniform · Discussion of Hoban 's claims · 0.88

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