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Paper 1

Stabilizer Formalism for EAQECCs with Noise ebits

Ruihu Li, Guanmin Guo, Yang Liu, Hao Song

Year

2026

Journal

arXiv preprint

DOI

arXiv:2603.19597

arXiv

2603.19597

We introduce a stabilizer formalism for EAQECCs with noise ebits, using special subgroups of product groups of two Pauli groups. This formalism includes the two coding schemes,given by Lai and Brun (C.Y. Lai and T. A. Brun, PHYSICAL REVIEW A 86, 032319 (2012)), for EAQECCs with imperfect ebits as special cases. Then two equivalent formalisms of the formalism are derived in nomenclature of sympletic geometry and additive codes. We apply this theory to construct some EAQECCs with noise ebits, and analyze their performance.

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Paper 2

Hyperplane-Symmetric Static Einstein-Dirac Spacetime

John Schliemann, Tim Sonnleitner

Year

2024

Journal

arXiv preprint

DOI

arXiv:2410.04582

arXiv

2410.04582

We derive the general solution to the coupled Einstein and Dirac field equations in static and hyperplane-symmetric spacetime of arbitrary dimension including a cosmological constant of either sign. As a result, only a massful Dirac field couples via the Einstein equations to spacetime, and in the massless case the Dirac field is required to fulfill appropriate constraints in order to eliminate off-diagonal components of the energy-momentum tensor. We also give explicit expressions for curvature invariants including the Ricci scalar and the Kretschmann scalar, indicating physical singularities. Moreover, we reduce the general solution of the geodesic equation to quadratures.

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