93 citations · 95 across the 5 of their papers we have counts for
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Progress on Problem about Quantum Hamming Bound for Impure Quantum Codes
Zhuo Li, Lijuan Xing
A famous open problem in the theory of quantum error-correcting codes is whether or not the parameters of an impure quantum code can violate the quantum Hamming bound for pure quan…
No More Perfect Codes: Classification of Perfect Quantum Codes
Zhuo Li, Lijuan Xing
We solve the problem of the classification of perfect quantum codes. We prove that the only nontrivial perfect quantum codes are those with the parameters . There exist no other no…
Universal Framework for Quantum Error-Correcting Codes
Zhuo Li, Li-Juan Xing
We present a universal framework for quantum error-correcting codes, i.e., the one that applies for the most general quantum error-correcting codes. This framework is established o…
A family of asymptotically good quantum codes based on code concatenation
Zhuo Li, Li-Juan Xing, Xin-Mei Wang
We explicitly construct an infinite family of asymptotically good concatenated quantum stabilizer codes where the outer code uses CSS-type quantum Reed-Solomon code and the inner c…
Quantum generalized Reed-Solomon codes: Unified framework for quantum MDS codes
Zhuo Li, Li-Juan Xing, Xin-Mei Wang
We construct a new family of quantum MDS codes from classical generalized Reed-Solomon codes and derive the necessary and sufficient condition under which these quantum codes exist…