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Paper · P08

Quantum Money from Abelian Group Actions

Title from docs/planning/QMINT_MASTER_RESEARCH_PLAN.md section 16; not present in the matrix row.

Mark Zhandry · 2023-07-22 (v1); v5 2025-08-18

Status
ABSTRACT READOnly the abstract (and possibly skimmed PDF) was read; theorem details are not verified.ABSTRACT_READ; PDF downloaded
Game
none stated
Anchor
—
Source file
research/PRIOR_ART_MATRIX.csv

Precise theorem

Public-key quantum money / quantum lightning from abelian group actions; security proved in the generic group model for group actions under a plausible computational assumption (abstract). Exact theorem numbers NOT transcribed.

Citations

Record

Every field of the source record, in file order.

Canonical linkcanonical_link

https://arxiv.org/abs/2307.12120 (TheoretiCS 4, 2025; DOI 10.46298/theoretics.25.18)

Authorsauthors

Mark Zhandry

Publication datepublication_date

2023-07-22 (v1); v5 2025-08-18

Versionversion

arXiv v5 (5 versions). Journal TheoretiCS 2025-08-19.

Correction statuscorrection_status

multiple revisions (v1-v5); differences not diffed

Input modelinput_model

Group-action (isogeny-based) money states

Verifier modelverifier_model

public verification

Adversary capabilitiesadversary_capabilities

Quantum polynomial-time in generic group action model

Tested parameterstested_parameters

none

Proof dependenciesproof_dependencies

Generic group action model; computational assumption

Datasetsdatasets

none

Codecode

none

Licenselicense

arXiv CC BY 4.0

Limitationslimitations

Computational/model assumptions; not information-theoretic; not implementable at scale now.

What QMint addswhat_QMint_adds

Nothing; separate public-key track (O2) only.

Access statusaccess_status

ABSTRACT_READ; PDF downloaded

Qmint gameqmint_game

none (public-key; not in GameId)