Two Families of Entanglement-Assisted Quantum MDS Codes from Constacyclic Codes
نویسندگان
چکیده
منابع مشابه
Entanglement-assisted quantum MDS codes from constacyclic codes with large minimum distance
The entanglement-assisted (EA) formalism allows arbitrary classical linear codes to transform into entanglement-assisted quantum error correcting codes (EAQECCs) by using pre-shared entanglement between the sender and the receiver. In this work, we propose a decomposition of the defining set of constacyclic codes. Using this method, we construct four classes of q-ary entanglement-assisted quant...
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Recently, entanglement-assisted quantum error correcting codes (EAQECCs) have been constructed by cyclic codes and negacyclic codes. In this paper, by analyzing the cyclotomic cosets in the defining set of constacyclic codes, we constructed three classes of new EAQECCs which satisfy the entanglement-assisted quantum Singleton bound. Besides, three classes of EAQECCs with maximal entanglement fr...
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Quantum maximum-distance-separable (MDS) codes are an important class of quantum codes. In this paper, using constacyclic codes and Hermitain construction, we construct some new quantum MDS codes of the form q = 2am + t, n = q 2 +1 a . Most of these quantum MDS codes are new in the sense that their parameters are not covered be the codes available in the literature.
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Quantum error-correcting codes play an important role in both quantum communication and quantum computation. It has experienced a great progress since the establishment of the connections between quantum codes and classical codes (see [4]). It was shown that the construction of quantum codes can be reduced to that of classical linear error-correcting codes with certain self-orthogonality proper...
متن کاملTwo Families of Quantum Codes Derived from Cyclic Codes
We characterize the affine-invariant maximal extended cyclic codes. Then by the CSS construction, we derive from these codes a family of pure quantum codes. Also for ordnq even, a new family of degenerate quantum stabilizer [[n, 1,≥ n]]q codes is derived from the classical duadic codes. This answer an open problem asked by Aly et al. MSC:[94B05, 94B15, 94B60 ]
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ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2020
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-020-04433-0