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We compute the error threshold for the semion code, the companion of the Kitaev toric code with the same gauge symmetry group Z(2). The application of statistical mechanical mapping methods is highly discouraged for the semion code, since the co[...]texto impreso
Ortiz Martín, Laura ; Varona Angulo, Santiago ; Martín-Delgado Alcántara, Miguel Ángel | American Physical Society | 2018-02-01We study the localization and oscillation properties of the Majorana fermions that arise in a two-dimensional electron gas (2DEG) with spin-orbit coupling (SOC) and a Zeeman field coupled with a d-wave superconductor. Despite the angular depende[...]texto impreso
Dauphinais, Guillaume ; Ortiz Martín, Laura ; Varona Angulo, Santiago ; Martín Delgado, Miguel Ángel | IOP publishing ltd | 2019-05-29We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double-semion model. We construct open-string operators that recover the quantum memory from arbitrary errors and closed-string operators th[...]texto impreso
Varona Angulo, Santiago ; Ortiz Martín, Laura ; Viyuela, O. ; Martín-Delgado Alcántara, Miguel Ángel | IOP publishing ltd | 2018-10-03We compute the topological phase diagram of 2D tetragonal superconductors for the only possible nodeless pairing channels compatible with that crystal symmetry. Subject to a Zeeman field and spin-orbit coupling, we demonstrate that these superco[...]
