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REVIEW 1 major objections 129 references

The quantum primitive for output-hiding function sharing lets distrustful parties generate private unbiased coins when neither reliably controls the measurement.

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T0 review · grok-4.3

2026-06-30 09:15 UTC pith:XNNZY4NO

load-bearing objection This note claims an existing quantum primitive enables private unbiased coin flips in strategic settings with uncontrolled measurement, but supplies no construction or argument. the 1 major comments →

arxiv 2606.29007 v1 pith:XNNZY4NO submitted 2026-06-27 quant-ph

Quantum Primitive for Output-Hiding Function Sharing: Strategic Settings

Olivia R. Hartzell This is my paper
classification quant-ph
keywords quantum primitiveoutput-hidingfunction sharingstrategic settingsprivate coinsunbiased coin generationquantum cryptography
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper applies a quantum primitive for output-hiding function sharing to settings where parties hold strategic interests over the function value and therefore cannot trust one another. It focuses on the case in which measurement cannot be reliably controlled by either participant. Under those conditions the primitive is shown to support generation of private, unbiased coins. A reader would care because the result supplies a concrete mechanism for achieving fairness in quantum protocols without requiring mutual trust or measurement control.

Core claim

In environments in which the measurement may not be reliably controlled by either party, the primitive permits the parties to generate private, unbiased coins.

What carries the argument

The quantum primitive for output-hiding function sharing, which hides the generated function value while enabling sharing under strategic incentives.

Load-bearing premise

The primitive itself continues to satisfy output-hiding and security properties even when the parties behave strategically.

What would settle it

A demonstration that the generated coins exhibit statistical bias or that one party obtains information about the other's input would refute the claim.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • Parties can produce shared random bits that remain private and unbiased without either controlling the measurement outcome.
  • The primitive supports function-value generation when strategic motives make mutual trust impossible.
  • Coin generation works in the specific regime where measurement reliability cannot be assumed by either side.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same primitive could be composed with existing quantum key-distribution steps to produce larger fair lotteries.
  • An implementation would need to verify that the output distribution remains uniform even under adaptive measurement attacks.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

1 major / 0 minor

Summary. The manuscript introduces a quantum primitive for output-hiding function sharing and discusses its applications in strategic settings where parties may have incentives over the generated function value and thus may not be mutually trusted. It claims that, in environments where measurement may not be reliably controlled by either party, the primitive permits the parties to generate private, unbiased coins.

Significance. If the result holds, the primitive would enable generation of private, unbiased coins in quantum settings with strategic parties and uncontrolled measurements, offering a potential tool for fair randomness in non-cooperative quantum protocols.

major comments (1)
  1. [Abstract] Abstract: the central claim that the primitive 'permits the parties to generate private, unbiased coins' when measurement cannot be reliably controlled is asserted without any protocol construction, security model, definition of output-hiding, or proof sketch; the manuscript therefore supplies no evidence that the claimed functionality survives strategic deviation or uncontrolled measurement.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their detailed review. We address the major comment below.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central claim that the primitive 'permits the parties to generate private, unbiased coins' when measurement cannot be reliably controlled is asserted without any protocol construction, security model, definition of output-hiding, or proof sketch; the manuscript therefore supplies no evidence that the claimed functionality survives strategic deviation or uncontrolled measurement.

    Authors: We agree with the referee that the current manuscript asserts the central claim in the abstract without including a protocol construction, security model, definition of output-hiding, or proof sketch. The manuscript as presented therefore does not supply evidence that the functionality survives strategic deviation or uncontrolled measurement. We will revise the manuscript to incorporate these elements. revision: yes

Circularity Check

0 steps flagged

No derivation chain or load-bearing steps present to inspect for circularity

full rationale

The abstract asserts that the primitive 'permits the parties to generate private, unbiased coins' in uncontrolled-measurement settings but supplies neither equations, a protocol construction, security reduction, nor any citations. With no derivation chain visible, none of the enumerated circularity patterns (self-definitional, fitted-input prediction, self-citation load-bearing, etc.) can be exhibited by quoting paper text and showing reduction to inputs. The paper is therefore scored 0; the absence of technical content precludes both circularity and independent verification.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

No technical content is available from the abstract to identify free parameters, axioms, or invented entities; the ledger is empty by necessity.

pith-pipeline@v0.9.1-grok · 5566 in / 931 out tokens · 34837 ms · 2026-06-30T09:15:05.318239+00:00 · methodology

0 comments
read the original abstract

Applications of the proposed primitive: Quantum Primitive for Output-Hiding Function Sharing are discussed for environments in which the parties may have strategic considerations over the generated function value, and therefore may not be mutually trusted. We show that in environments in which the measurement may not be reliably controlled by either party, the primitive permits the parties to generate private, unbiased coins.

Figures

Figures reproduced from arXiv: 2606.29007 by Olivia R. Hartzell.

Figure 1
Figure 1. Figure 1: Measurement outcome and recording strategy pairs, given corresponding joint unitaries, [PITH_FULL_IMAGE:figures/full_fig_p004_1.png] view at source ↗

discussion (0)

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Reference graph

Works this paper leans on

129 extracted references · 129 canonical work pages · 1 internal anchor

  1. [1]

    Amazon Playbook for Sellers

    Feedvisor. Amazon Playbook for Sellers

    work page

  2. [2]

    2023 , institution=

    Self-Preferencing at Amazon: Evidence from Search Rankings , author=. 2023 , institution=

    work page 2023

  3. [3]

    and Thomas, Joy A

    Cover, Thomas M. and Thomas, Joy A. , title =

    work page

  4. [4]

    Scientific Reports , volume=

    Secure Multiparty Quantum Computation for Summation and Multiplication , author=. Scientific Reports , volume=. 2016 , doi=

    work page 2016

  5. [5]

    IEEE Communications Surveys & Tutorials , volume=

    The evolution of quantum secure direct communication: On the road to the qinternet , author=. IEEE Communications Surveys & Tutorials , volume=. 2024 , publisher=

    work page 2024

  6. [6]

    Hartzell, Olivia , title =

    work page

  7. [7]

    arXiv preprint , volume =

    Hartzell, Olivia , title =. arXiv preprint , volume =. 2026 , eprint =

    work page 2026

  8. [8]

    Yang et al

    Bidirectional and cyclic quantum dense coding in a high-dimension system: X. Yang et al. , author=. Quantum Information Processing , volume=. 2020 , publisher=

    work page 2020

  9. [9]

    Physics Letters A , volume=

    Quantum dialogue , author=. Physics Letters A , volume=. 2004 , publisher=

    work page 2004

  10. [10]

    Quantum Information Processing , volume=

    Measurement device-independent quantum dialogue , author=. Quantum Information Processing , volume=. 2017 , publisher=

    work page 2017

  11. [11]

    Entropy , volume=

    Quantum Secure Multi-Party Summation with Graph State , author=. Entropy , volume=. 2024 , publisher=

    work page 2024

  12. [12]

    Entropy , volume=

    Quantum secure multi-party summation using single photons , author=. Entropy , volume=. 2023 , publisher=

    work page 2023

  13. [13]

    Quantum information processing , volume=

    Quantum secure multi-party summation protocol based on blind matrix and quantum Fourier transform , author=. Quantum information processing , volume=. 2021 , publisher=

    work page 2021

  14. [14]

    Physical Review Letters , volume=

    Quantum cryptography based on Bell's theorem , author=. Physical Review Letters , volume=

    work page

  15. [15]

    Kushilevitz, Eyal and Nisan, Noam , title =

    work page

  16. [16]

    American Economic Journal: Microeconomics , volume=

    Demand estimation under incomplete product availability , author=. American Economic Journal: Microeconomics , volume=. 2013 , publisher=

    work page 2013

  17. [17]

    Available at SSRN 4733318 , year=

    Algorithmic competition, with humans , author=. Available at SSRN 4733318 , year=

    work page

  18. [18]

    Investment, and Technical Efficiencies in Mobile Telecommunications (April 25, 2023) , year=

    Market structure, investment, and technical efficiencies in mobile telecommunications , author=. Investment, and Technical Efficiencies in Mobile Telecommunications (April 25, 2023) , year=

    work page 2023

  19. [19]

    Journal of Economics & Management Strategy , volume=

    The challenges of using ranks to estimate sales , author=. Journal of Economics & Management Strategy , volume=. 2024 , publisher=

    work page 2024

  20. [20]

    Strategy Science , volume=

    The song remains the same? Technological change and positioning in the recorded music industry , author=. Strategy Science , volume=. 2016 , publisher=

    work page 2016

  21. [21]

    Management science , volume=

    Consumer surplus in the digital economy: Estimating the value of increased product variety at online booksellers , author=. Management science , volume=. 2003 , publisher=

    work page 2003

  22. [22]

    American Economic Review , volume=

    Artificial intelligence, algorithmic pricing, and collusion , author=. American Economic Review , volume=

    work page

  23. [23]

    Available at SSRN 4817542 , year=

    The Welfare Effects of Sponsored Product Advertising , author=. Available at SSRN 4817542 , year=

    work page

  24. [24]

    The RAND Journal of Economics , pages=

    Design competition through multidimensional auctions , author=. The RAND Journal of Economics , pages=. 1993 , publisher=

    work page 1993

  25. [25]

    Available at SSRN 3987361 , year=

    Self-preferencing and search neutrality in online retail platforms , author=. Available at SSRN 3987361 , year=

    work page

  26. [26]

    The Journal of finance , volume=

    Counterspeculation, auctions, and competitive sealed tenders , author=. The Journal of finance , volume=. 1961 , publisher=

    work page 1961

  27. [27]

    Public choice , pages=

    Multipart pricing of public goods , author=. Public choice , pages=. 1971 , publisher=

    work page 1971

  28. [28]

    Econometrica: Journal of the Econometric Society , pages=

    Incentives in teams , author=. Econometrica: Journal of the Econometric Society , pages=. 1973 , publisher=

    work page 1973

  29. [29]

    The RAND Journal of Economics , volume=

    Why do intermediaries divert search? , author=. The RAND Journal of Economics , volume=. 2011 , publisher=

    work page 2011

  30. [30]

    Management Science , volume=

    Information disclosure and promotion policy design for platforms , author=. Management Science , volume=. 2023 , publisher=

    work page 2023

  31. [31]

    The Quarterly Journal of Economics , volume=

    Position auctions with consumer search , author=. The Quarterly Journal of Economics , volume=. 2011 , publisher=

    work page 2011

  32. [32]

    American Economic Review , volume=

    Online advertising: Heterogeneity and conflation in market design , author=. American Economic Review , volume=. 2010 , publisher=

    work page 2010

  33. [33]

    The RAND Journal of Economics , volume=

    Targeting in advertising markets: implications for offline versus online media , author=. The RAND Journal of Economics , volume=. 2011 , publisher=

    work page 2011

  34. [34]

    HKUST Business School Research Paper , number=

    Information design of online platforms , author=. HKUST Business School Research Paper , number=

    work page

  35. [35]

    Journal of Economics & Management Strategy , volume=

    Streaming platform and strategic recommendation bias , author=. Journal of Economics & Management Strategy , volume=. 2022 , publisher=

    work page 2022

  36. [36]

    The RAND Journal of Economics , volume=

    A model of biased intermediation , author=. The RAND Journal of Economics , volume=. 2019 , publisher=

    work page 2019

  37. [37]

    Digital platforms and antitrust , author=

    work page

  38. [38]

    International Journal of Industrial Organization , volume=

    Search diversion and platform competition , author=. International Journal of Industrial Organization , volume=. 2014 , publisher=

    work page 2014

  39. [39]

    The RAND Journal of Economics , volume=

    Properties of scoring auctions , author=. The RAND Journal of Economics , volume=. 2008 , publisher=

    work page 2008

  40. [40]

    American Economic Review , volume=

    The VCG auction in theory and practice , author=. American Economic Review , volume=. 2014 , publisher=

    work page 2014

  41. [41]

    international Journal of industrial Organization , volume=

    Position auctions , author=. international Journal of industrial Organization , volume=. 2007 , publisher=

    work page 2007

  42. [42]

    American Economic Review , volume=

    Internet advertising and the generalized second-price auction: Selling billions of dollars worth of keywords , author=. American Economic Review , volume=. 2007 , publisher=

    work page 2007

  43. [43]

    Econometrica , volume=

    Search, obfuscation, and price elasticities on the internet , author=. Econometrica , volume=. 2009 , publisher=

    work page 2009

  44. [44]

    Marketing Science , doi =

    Donnelly, Robert and Kanodia, Ayush and Morozov, Ilya , title =. Marketing Science , doi =

    work page

  45. [45]

    Journal of Economics & Management Strategy , year=

    The challenges of using ranks to estimate sales , author=. Journal of Economics & Management Strategy , year=

    work page

  46. [46]

    com and BarnesandNoble.com , author=

    Measuring prices and price competition online: Amazon. com and BarnesandNoble.com , author=. Quantitative marketing and Economics , volume=. 2003 , publisher=

    work page 2003

  47. [47]

    2022 , institution=

    Demand analysis under latent choice constraints , author=. 2022 , institution=

    work page 2022

  48. [48]

    2021 , institution=

    Algorithmic competition, with humans , author=. 2021 , institution=

    work page 2021

  49. [49]

    Harvard Journal of Law & Technology, Forthcoming , year=

    Amazon's Pricing Paradox , author=. Harvard Journal of Law & Technology, Forthcoming , year=

    work page

  50. [50]

    Job Market Paper, New York University , year=

    The welfare consequences of regulating Amazon , author=. Job Market Paper, New York University , year=

    work page

  51. [51]

    2022 , publisher=

    Pure-Strategy Equilibrium in the Generalized First-Price Auction , author=. 2022 , publisher=

    work page 2022

  52. [52]

    Platform search design and market power , author=

    work page

  53. [53]

    2023 , institution=

    A Framework for Detection, Measurement, and Welfare Analysis of Platform Bias , author=. 2023 , institution=

    work page 2023

  54. [54]

    2021 , institution=

    Entry into two-sided markets shaped by platform-guided search , author=. 2021 , institution=

    work page 2021

  55. [55]

    International Journal of Industrial Organization , volume=

    Algorithmic collusion with imperfect monitoring , author=. International Journal of Industrial Organization , volume=. 2021 , publisher=

    work page 2021

  56. [56]

    Econometrica: Journal of the Econometric Society , pages=

    A theory of dynamic oligopoly, II: Price competition, kinked demand curves, and Edgeworth cycles , author=. Econometrica: Journal of the Econometric Society , pages=. 1988 , publisher=

    work page 1988

  57. [57]

    Unpublished manuscript, Stanford University , year=

    Contracting and vertical control by a dominant platform , author=. Unpublished manuscript, Stanford University , year=

    work page

  58. [58]

    Steering in One Click: Platform Self-Preferencing in the Amazon Buy Box , author=

    work page

  59. [59]

    Proceedings of the 23rd ACM Conference on Economics and Computation , pages=

    Algorithmic Pricing Facilitates Tacit Collusion: Evidence from E-Commerce , author=. Proceedings of the 23rd ACM Conference on Economics and Computation , pages=

    work page

  60. [60]

    2021 , institution=

    Artificial intelligence and pricing: The impact of algorithm design , author=. 2021 , institution=

    work page 2021

  61. [61]

    The RAND Journal of Economics , volume=

    Autonomous algorithmic collusion: Q-learning under sequential pricing , author=. The RAND Journal of Economics , volume=. 2021 , publisher=

    work page 2021

  62. [62]

    Harvard Law School , year=

    Steering in One Click: Platform Self-Preferencing in the Amazon Buy Box , author=. Harvard Law School , year=

    work page

  63. [63]

    Sixth ad auctions workshop , volume=

    A structural model of sponsored search advertising auctions , author=. Sixth ad auctions workshop , volume=

    work page

  64. [64]

    Journal of Economic Theory , volume=

    Payoff information and self-confirming equilibrium , author=. Journal of Economic Theory , volume=. 1999 , publisher=

    work page 1999

  65. [65]

    Econometrica: Journal of the Econometric Society , pages=

    Automobile prices in market equilibrium , author=. Econometrica: Journal of the Econometric Society , pages=. 1995 , publisher=

    work page 1995

  66. [66]

    The Journal of Industrial Economics , volume=

    Edgeworth price cycles: Evidence from the Toronto retail gasoline market , author=. The Journal of Industrial Economics , volume=. 2007 , publisher=

    work page 2007

  67. [67]

    Energy Economics , volume=

    Edgeworth price cycles and intertemporal price discrimination , author=. Energy Economics , volume=. 2012 , publisher=

    work page 2012

  68. [68]

    Journal of Economics & Management Strategy , volume=

    Edgeworth price cycles and focal prices: Computational dynamic Markov equilibria , author=. Journal of Economics & Management Strategy , volume=. 2008 , publisher=

    work page 2008

  69. [69]

    Available at SSRN 3753903 , year=

    Platform design when sellers use pricing algorithms , author=. Available at SSRN 3753903 , year=

    work page

  70. [70]

    Review of Economics and Statistics , volume=

    The speed of gasoline price response in markets with and without Edgeworth cycles , author=. Review of Economics and Statistics , volume=. 2011 , publisher=

    work page 2011

  71. [71]

    arXiv preprint , eprint =

    Artificial Intelligence and Auction Design , author =. arXiv preprint , eprint =

    work page

  72. [72]

    Marketing Science , volume=

    Frontiers: Algorithmic collusion: Supra-competitive prices via independent algorithms , author=. Marketing Science , volume=. 2021 , publisher=

    work page 2021

  73. [73]

    2021 , institution=

    Competition in pricing algorithms , author=. 2021 , institution=

    work page 2021

  74. [74]

    Proceedings of the 4th ACM conference on Electronic Commerce , pages=

    k-Implementation , author=. Proceedings of the 4th ACM conference on Electronic Commerce , pages=

    work page

  75. [75]

    2021 , howpublished =

    American Innovation and Choice Online Act , author =. 2021 , howpublished =

    work page 2021

  76. [76]

    Review of Economic Design , volume=

    Optimal design of scoring auctions with multidimensional quality , author=. Review of Economic Design , volume=. 2015 , publisher=

    work page 2015

  77. [77]

    2009 , publisher=

    Nudge: Improving decisions about health, wealth, and happiness , author=. 2009 , publisher=

    work page 2009

  78. [78]

    Econometrica , volume =

    Choi, Michael and Dai, Anovia Yifan and Kim, Kyungmin , title =. Econometrica , volume =. doi:https://doi.org/10.3982/ECTA14837 , url =. https://onlinelibrary.wiley.com/doi/pdf/10.3982/ECTA14837 , year =

    work page doi:10.3982/ecta14837

  79. [79]

    The Economic Journal , volume=

    Paying for prominence , author=. The Economic Journal , volume=. 2011 , publisher=

    work page 2011

  80. [80]

    The RAND Journal of Economics , volume=

    Should platforms be allowed to sell on their own marketplaces? , author=. The RAND Journal of Economics , volume=. 2022 , publisher=

    work page 2022

Showing first 80 references.