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REVIEW 2 major objections 1 minor 128 references

Quantum Primitive for Output-Hiding Function Sharing

T0 review · 2 major / 1 minor · reviewed 2026-06-25 · grok-4.3

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Pith's one-line read A quantum primitive lets parties share function values from private inputs while keeping outputs hidden without classical keys or randomness.

desk verdict This is an abstract announcing a quantum primitive for output-hiding function sharing, but it contains no construction, states, measurements, or security argument. read the letter →

arxiv 2606.25080 v1 pith:ULATNDQ7 submitted 2026-06-23 quant-ph

Olivia R. Hartzell This is my paper · ORCID
classification quant-ph
keywords quantumprimitiveoutput-hidingfunctionsharinginformation-theoreticsecuritymulti-partycomputationresourcessecurecommunicationevaluation
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper introduces a quantum information-theoretic primitive allowing multiple parties to determine a discrete-valued function from their local private inputs. Parties mutually learn inputs and compute shared function values, yet each local quantum system remains independent of those inputs. The outputs stay information-theoretically hidden from external observers and from adversarial state preparation or measurement inside the system. This achieves the security properties using quantum resources alone, whereas classical constructions require private keys or hidden randomness. A sympathetic reader cares because the primitive targets secure quantum communication and computation tasks such as key distribution and multi-party coordination.

What carries the argument

The quantum primitive for output-hiding function sharing, which encodes inputs into quantum states so that local systems stay input-independent while shared outputs remain hidden from external and adversarial quantum processes.

What would settle it

An explicit protocol of quantum state preparations and measurements that realizes input-independent local systems and information-theoretically hidden outputs for at least one concrete multi-party function; any detectable leakage of input or output information in every attempted realization would falsify the claim.

Watch

Extended reading notes

Core claim

A quantum information-theoretic primitive is introduced for determining a discrete-valued function that depends on multiple parties' local private inputs; the primitive permits the parties to mutually learn each others' local inputs and thereby determine function values while their individual systems remain independent of these inputs, with the resulting function values shared among the parties but remaining information-theoretically hidden from any external observer as well as from adversarial state-preparation or measurement processes within the quantum system, achieved using quantum resources alone.

Load-bearing premise

Quantum resources alone can produce systems in which parties learn inputs and share function values with each local system independent of the inputs and with outputs hidden information-theoretically from observers and adversaries.

Editorial extensions

If this is right

  • The primitive supplies a building block for quantum key distribution that avoids reliance on classical private keys.
  • It supports multi-party coordination and decision schemes in which function outputs remain hidden from external parties.
  • Function evaluation protocols can be constructed with information-theoretic output hiding against adversarial quantum operations.
  • In limited settings the same structure yields protocols for fairly generated private coins without classical randomness.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the primitive works for discrete functions it may extend to approximate versions of continuous functions by discretizing the input space.
  • The construction could serve as a modular component inside larger quantum network protocols that combine function sharing with entanglement distribution.
  • Testing the primitive on small numbers of parties with current photonic or ion-trap hardware would provide an early empirical check on the independence and hiding properties.
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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

2 major / 1 minor

Summary. The manuscript introduces a quantum information-theoretic primitive for determining a discrete-valued function depending on multiple parties' local private inputs. Parties mutually learn each others' inputs and determine shared function values, while individual quantum systems remain independent of the inputs; the function values are shared among parties but information-theoretically hidden from external observers and from adversarial state-preparation or measurement processes. The construction is claimed to achieve these properties using quantum resources alone, without classical private keys or hidden randomness. General properties are outlined, but explicit realizations, security arguments, and applications (e.g., to QKD, multi-party coordination, function evaluation) are deferred to further publications.

Significance. If a concrete, verifiable realization of the claimed primitive exists, it could enable new information-theoretically secure multi-party quantum protocols that avoid classical randomness, with potential impact on quantum cryptography and secure computation. However, the complete absence of any construction, Hilbert-space description, or security reduction in the manuscript prevents assessment of whether the result holds or offers genuine novelty beyond classical limitations.

major comments (2)
  1. [Abstract] Abstract (entire manuscript): The central claim asserts existence of a quantum primitive satisfying the listed independence and hiding properties, yet supplies no explicit construction, state, measurement operators, reduced-density-matrix calculation, or security reduction. All concrete content is deferred, so the assertion that 'quantum resources alone' suffice cannot be checked for internal consistency or violation of no-cloning/information-disturbance bounds.
  2. [Abstract] Abstract: The statement that classically such properties require private keys or hidden randomness, but are achieved here with quantum resources alone, is presented without any derivation, example protocol, or comparison that would allow verification of the claimed advantage.
minor comments (1)
  1. The manuscript consists solely of a high-level outline and reads as an extended abstract rather than a complete paper; at minimum, an illustrative example or outline of the quantum state and operations would be needed for review.

Simulated Author's Rebuttal

2 responses · 1 unresolved

We thank the referee for their detailed review. The manuscript is structured as a high-level outline of the quantum primitive's general properties, with explicit constructions, security arguments, and applications explicitly deferred to subsequent publications as stated in the text. We respond to the major comments below.

read point-by-point responses

  1. Referee: [Abstract] Abstract (entire manuscript): The central claim asserts existence of a quantum primitive satisfying the listed independence and hiding properties, yet supplies no explicit construction, state, measurement operators, reduced-density-matrix calculation, or security reduction. All concrete content is deferred, so the assertion that 'quantum resources alone' suffice cannot be checked for internal consistency or violation of no-cloning/information-disturbance bounds.

    Authors: The manuscript deliberately presents the primitive at a conceptual level by defining its information-theoretic properties (input independence of individual systems, shared but hidden function values, and resistance to adversarial preparation/measurement) and contrasting them with classical requirements. We acknowledge that no explicit construction, Hilbert-space description, reduced-density-matrix calculations, or security reduction appears in this document; these are reserved for follow-up publications as noted in the manuscript. This format is chosen to introduce the overall framework first. revision: no

  2. Referee: [Abstract] Abstract: The statement that classically such properties require private keys or hidden randomness, but are achieved here with quantum resources alone, is presented without any derivation, example protocol, or comparison that would allow verification of the claimed advantage.

    Authors: The classical requirement for private keys or hidden randomness to achieve information-theoretically secure shared function values is a standard result in secure multiparty computation. The proposed quantum primitive is asserted to realize the same properties solely via quantum resources through the stated independence and hiding features. A detailed derivation, protocol example, and explicit comparison are part of the deferred technical development. revision: no

standing simulated objections not resolved
  • Absence of explicit construction, Hilbert-space description, measurement operators, density-matrix calculations, or security reduction, which prevents verification of the central claims within the current manuscript.

Circularity Check

0 steps flagged · score 0.0 of 10

No derivation chain or equations present; claim asserted at high level only

full rationale

The manuscript introduces a quantum primitive at the level of desired properties but supplies no Hilbert-space construction, measurement operators, density-matrix calculations, security reductions, or equations of any kind. No self-citations, fitted parameters, ansatzes, or uniqueness theorems appear. Because there is no derivation chain to inspect, no step can reduce to its own inputs by construction; the paper is therefore free of the enumerated circularity patterns.

Assumptions & free parameters 0 free parameters · 0 assumptions · 0 invented entities

The abstract supplies no explicit free parameters, background axioms, or postulated entities; the primitive itself is the proposed object whose detailed realization is not given.

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Cite this review

Pith. "Pith review of Quantum Primitive for Output-Hiding Function Sharing." pith.science (2026). https://pith.science/paper/ULATNDQ7

@misc{pith2026260625080,
  author       = {Pith},
  title        = {Pith review of: Quantum Primitive for Output-Hiding Function Sharing},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/ULATNDQ7}},
  note         = {Machine review of arXiv:2606.25080}
}
read the original abstract

A quantum information-theoretic primitive is introduced for determining a discrete-valued function that depends on multiple parties' local private inputs. The primitive permits the parties to mutually learn each others' local inputs, and thereby determine function values, while their individual systems remain independent of these inputs. The resulting function values are shared among the parties, but may remain information-theoretically hidden from any external observer, as well as from adversarial state-preparation or measurement processes within the quantum system, in every iteration. In particular, while classically producing a shared function with these information-theoretic properties requires the use of private keys or hidden randomness, in the proposed setting it is achieved using quantum resources alone. I outline the primitive's general properties while applications across a broad range of secure quantum communication and computation settings including: quantum key distribution, multi-party coordination and decision schemes, function evaluation, and in some settings, protocols for fairly generated private coins, are relegated to further publications.

Figures

Figures reproduced from arXiv: 2606.25080 by the authors.

Figure 1
Figure 1. Schematic of the quantum primitive for two parties (Alice and Bob). [PITH_FULL_IMAGE:figures/full_fig_p005_1.png] view at source ↗
Figure 2
Figure 2. Measurement outcomes given corresponding joint unitaries, where rows correspond to [PITH_FULL_IMAGE:figures/full_fig_p006_2.png] view at source ↗
Figure 3
Figure 3. Each matrix element corresponds with pairs [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figures from the paper (2 more)
Figure 4
Figure 4. Figure 4: Entries given by values of fpUq “ pj ˚ , s˜q for joint unitaries U, and corresponding recording strategies ˜s given unitaries Ui and measurement announcements j ˚ . these cases, the particular security bounds on joint unitaries and recorded values of ˜s will depend on …
Figure 5
Figure 5. Figure 5: Entries given by values of fpUq “ pj ˚ , s˜q for joint unitaries U, and corresponding recording strategies ˜s given unitaries Ui and measurement announcements j ˚ . 5 Proof of Claim 2 Proof. If sa “ sb “ s˜, then j “ j ˚ pUq under the true joint unitary U. If the adver…

Discussion (0). Continue with ORCID to comment.

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Pith tools

Reviewed June 25, 2026 · model on record in the stance chip above.