Entanglement-Assisted Quantum Codes From Algebraic Geometry Codes
نویسندگان
چکیده
Quantum error-correcting codes play the role of suppressing noise and decoherence in quantum systems by introducing redundancy. Some strategies can be used to improve parameters these codes. For example, entanglement provide a way for achieve higher rates than one obtained means traditional stabilizer formalism. Such are called entanglement-assisted (EAQEC) In this paper, we utilize algebraic geometry construct several families EAQEC derived from Euclidean Hermitian construction. Three constructed here consist whose Singleton defect is equal zero, one, or two. We also with an encoding rate exceeding Gilbert-Varshamov bound. Additionally, asymptotically good towers linear complementary dual obtain consuming maximal entanglement. Furthermore, simple comparison bound demonstrates that, utilizing proposed construction, it possible generate family that exceeds
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ژورنال
عنوان ژورنال: IEEE Transactions on Information Theory
سال: 2021
ISSN: ['0018-9448', '1557-9654']
DOI: https://doi.org/10.1109/tit.2021.3113367