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Constructions of good entanglement-assisted quantum error correcting codes
Entanglement-assisted quantum error correcting codes (EAQECCs) are a simple and
fundamental class of codes. They allow for the construction of quantum codes from classical …
fundamental class of codes. They allow for the construction of quantum codes from classical …
[کتاب][B] Concise encyclopedia of coding theory
Most coding theory experts date the origin of the subject with the 1948 publication of A
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …
Mathematical Theory of Communication by Claude Shannon. Since then, coding theory has …
MDS codes with hulls of arbitrary dimensions and their quantum error correction
The hull of linear codes has promising utilization in coding theory and quantum coding
theory. In this paper, we study the hull of generalized Reed-Solomon codes and extended …
theory. In this paper, we study the hull of generalized Reed-Solomon codes and extended …
Entanglement-assisted quantum error-correcting codes over arbitrary finite fields
We prove that the known formulae for computing the optimal number of maximally entangled
pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over …
pairs required for entanglement-assisted quantum error-correcting codes (EAQECCs) over …
Euclidean and Hermitian hulls of MDS codes and their applications to EAQECCs
In this paper, we construct several classes of maximum distance separable (MDS) codes via
generalized Reed-Solomon (GRS) codes and extended GRS codes, where we can …
generalized Reed-Solomon (GRS) codes and extended GRS codes, where we can …
Entropic proofs of Singleton bounds for quantum error-correcting codes
We show that a relatively simple reasoning using von Neumann entropy inequalities yields a
robust proof of the quantum Singleton bound for quantum error-correcting codes (QECC) …
robust proof of the quantum Singleton bound for quantum error-correcting codes (QECC) …
MDS codes with Galois hulls of arbitrary dimensions and the related entanglement-assisted quantum error correction
M Cao - IEEE Transactions on Information Theory, 2021 - ieeexplore.ieee.org
Let be a prime power and be an integer with. The-Galois hull of classical linear codes is a
generalization of the Euclidean hull and Hermitian hull. We provide a necessary and …
generalization of the Euclidean hull and Hermitian hull. We provide a necessary and …
Entanglement-assisted quantum MDS codes constructed from negacyclic codes
Recently, entanglement-assisted quantum codes have been constructed from cyclic codes
by some scholars. However, how to determine the number of shared pairs required to …
by some scholars. However, how to determine the number of shared pairs required to …
Linear programming bounds for entanglement-assisted quantum error-correcting codes by split weight enumerators
Linear programming approaches have been applied to derive upper bounds on the size of
classical and quantum codes. In this paper, we derive similar results for general quantum …
classical and quantum codes. In this paper, we derive similar results for general quantum …
A survey of quantum error correction
A Survey of Quantum Error Correction Page 1 1654 IEICE TRANS. FUNDAMENTALS, VOL.E104–A,
NO.12 DECEMBER 2021 INVITED SURVEY PAPER A Survey of Quantum Error Correction …
NO.12 DECEMBER 2021 INVITED SURVEY PAPER A Survey of Quantum Error Correction …