Quasi-orthogonal stabilizer codes relax orthogonality constraints to achieve higher logical rates and up to two orders of magnitude better error suppression under depolarizing noise.
The Penrose Tiling is a Quantum Error-Correcting Code
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Standard Model particle representations (minus top-quark irreps) are shown to fit into a Z2^5-graded Jordan superalgebra H_16(C) generated by division algebras.
The paper compiles a curated handbook reference of error-correcting codes, their symbol-based classifications, and interrelations with mathematical objects and physical phases.
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Quasi-Orthogonal Stabilizer Design for Efficient Quantum Error Suppression
Quasi-orthogonal stabilizer codes relax orthogonality constraints to achieve higher logical rates and up to two orders of magnitude better error suppression under depolarizing noise.
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A Superalgebra Within: representations of lightest standard model particles form a $\mathbb{Z}_2^5$-graded algebra
Standard Model particle representations (minus top-quark irreps) are shown to fit into a Z2^5-graded Jordan superalgebra H_16(C) generated by division algebras.
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Handbook of Error-Correcting Codes
The paper compiles a curated handbook reference of error-correcting codes, their symbol-based classifications, and interrelations with mathematical objects and physical phases.