Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Spectral Structure of Noise Thresholds for Contextuality: Walsh Modes, A Heralded-CHSH Invariant, And Model Dependence

Igor Postanovskyi

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.2139/ssrn.7608301

Related papers

Noise Thresholds Of Products Of Odd-Cycle Contextuality Scenarios: A CHSH Window, An Exact Face Threshold For KCBS × KCBS, And Two Regimes

Igor Postanovskyi

•Jan 1, 2026•0 citations

Exact Noise Thresholds of the Minimal State-independent Contextuality Set: Critical State, Full Noise Profile, and a Machine-checked Gap between Contextuality and Incompatibility

Igor Postanovskyi

•Jan 1, 2026•0 citations

Which Classicality? Incidence, Simplex, and Product-Rule Tests in Finite Quantum Logics

Karl Svozil

Finite quantum-logical constructions can appear classical or nonclassical depending on which structure is retained. We distinguish incidence tests based on valuations, colorings, and partition representations; simplex-embedding tests for specified prepare-and-measure fragments; and operator-functional tests imposing spectral and product rules. We show that the collective GHZ joint measurement is a single Boolean context and becomes nonclassical only when a common assignment of local factors, together with product preservation, is required. For selected labelled ray fragments, we compute state-depolarizing thresholds for a restricted projector-cone factorization and for a specified vector-generated operational closure, separating exact primal--dual certificates from numerical estimates. These values are properties of the stated fragments and noise model, not invariants of the underlying hypergraphs or a universal ordering of contextuality.

quant-pharXiv:2607.11234•Jul 14, 2026•0 citations

Data and code archive for: Spectral structure of noise thresholds for contextuality: Walsh modes, a heralded-CHSH invariant, and model dependence

Igor Postanovskyi

Certificates, checkers and data accompanying the preprint "Spectral structure of noise thresholds for contextuality: Walsh modes, a heralded-CHSH invariant, and model dependence" (I. Postanovsky, 2026): cone covers of RP^3 with per-leaf moment-LP certificates for the bit-flip and joint-reset noise models, the ball-arithmetic certificate of the expansion of the CH-branch constant kappa*_n, exact certificates over Q(sqrt5) for the counterexamples, and the data of all figures and tables. MANIFEST.txt gives the SHA-256 of every file.

•Oct 13, 2026•0 citations

Contextuality as a Noise-robust Witness of Nonclassicality: Beyond the Cabello-Severini-Winter Framework

Ravi Kunjwal, Robert W. Spekkens

Bulletin of the American Physical Society•Mar 8, 2018•0 citations

Noise Sensitivity of Polynomial Threshold Functions

Daniel M. Kane

•Jan 1, 2011•0 citations
Finite quantum-logical constructions can appear classical or nonclassical depending on which structure is retained. We distinguish incidence tests based on valuations, colorings, and partition representations; simplex-embedding tests for specified prepare-and-measure fragments; and operator-functional tests imposing spectral and product rules. We show that the collective GHZ joint measurement is a single Boolean context and becomes nonclassical only when a common assignment of local factors, together with product preservation, is required. For selected labelled ray fragments, we compute state-depolarizing thresholds for a restricted projector-cone factorization and for a specified vector-generated operational closure, separating exact primal--dual certificates from numerical estimates. These values are properties of the stated fragments and noise model, not invariants of the underlying hypergraphs or a universal ordering of contextuality.
Certificates, checkers and data accompanying the preprint "Spectral structure of noise thresholds for contextuality: Walsh modes, a heralded-CHSH invariant, and model dependence" (I. Postanovsky, 2026): cone covers of RP^3 with per-leaf moment-LP certificates for the bit-flip and joint-reset noise models, the ball-arithmetic certificate of the expansion of the CH-branch constant kappa*_n, exact certificates over Q(sqrt5) for the counterexamples, and the data of all figures and tables. MANIFEST.txt gives the SHA-256 of every file.