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Advances in the quantum-state texture theoryquantum-computing

Advances in the quantum-state texture theory

--> Quantum Physics arXiv:2609.17704 (quant-ph) [Submitted on 15 Sep 2026] Title:Advances in the quantum-state texture theory Authors:Jose Alfredo de Leon, Miguel Gonzalez, Alejandro Fonseca, Pedro C. Azado, Fernando Parisio View a PDF of the paper titled Advances in the quantum-state texture theory, by Jose Alfredo de Leon and 4 other authors View PDF HTML (experimental) Abstract:The recently introduced concept of quantum-state texture (QST) has found applications ranging from the identification of unknown quantum gates to the study of quantum phase transitions and criticality, and has already been experimentally investigated. Here, we advance its resource-theoretic formulation in several directions. Our approach centers on the experimentally accessible grand sum--the sum of all matrix elements of a density operator in a given basis. We clarify several points raised in the recent literature, including the relation between texture distillation and a simple grand-sum-based QST monotone. We completely characterize free operations for a single qubit and study the resulting state-conversion order; classify relevant families of free operations in arbitrary dimensions; derive bounds relating the texture of composite systems to that of their subsystems; and introduce the basis-independent concept of set texture. Together, these results strengthen and broaden the resource theory of QST, providing a foundation for its further development and applications. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2609.17704 [quant-ph]   (or arXiv:2609.17704v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2609.17704 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Jose Alfredo de Leon [view email] [v1] Tue, 15 Sep 2026 18:16:23 UTC (320 KB) Full-text links: Access Paper: View a PDF of the paper titled Advances in the quantum-state texture theory, by Jose Alfredo de Leon and 4 other authorsView PDFHT

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Diagnosing and Restoring the Degraded Fault Distance of Magic State Cultivationquantum-computing

Diagnosing and Restoring the Degraded Fault Distance of Magic State Cultivation

--> Quantum Physics arXiv:2609.17706 (quant-ph) [Submitted on 15 Sep 2026] Title:Diagnosing and Restoring the Degraded Fault Distance of Magic State Cultivation Authors:Tim Chan, Armands Strikis, Zhu Sun, Zhenyu Cai View a PDF of the paper titled Diagnosing and Restoring the Degraded Fault Distance of Magic State Cultivation, by Tim Chan and 3 other authors View PDF Abstract:T-state cultivation is a resource-efficient protocol producing logical T states but recent benchmarks show that its logical error rate is considerably higher than intended i.e. than S-state cultivation, which is the analogous protocol for producing logical S states. In this paper, we explain this T-S discrepancy by analytically showing, under circuit-level depolarising noise, that distance-3 (-5) T-state cultivation has fault distance 2 (3) due to Pauli hook errors that propagate to coherent Clifford errors after its final double-check circuit; such errors remain Pauli in S-state cultivation, which consequently retains fault distance 3 (5). As part of our analysis we derive a general formula, and an $\mathcal O(n^3)$-time algorithm for fixed logical-qubit count, for the acceptance probability of a logical mixed state afflicted with a Clifford error, where $n$ is the physical qubit count. We then design flags that detect the malignant hook errors in cultivation, improving the pre-escape logical error rate from $\mathcal O(p^3)$ to $\mathcal O(p^5)$. At noise level $p =10^{-3}$, this is a 4.9$\times$ improvement, costing a 1.36$\times$ increase in attempts per accepted shot. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2609.17706 [quant-ph]   (or arXiv:2609.17706v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2609.17706 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Tim Chan [view email] [v1] Tue, 15 Sep 2026 18:18:21 UTC (1,054 KB) Full-text links: Access Paper: View a PDF of the paper titled Diagnosing

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