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Self-Orthogonal Codes Constructed from Posets and Their Applications in Quantum Communication
It is an important issue to search for self-orthogonal codes for construction of quantum codes by CSS construction (Calderbank-Sho-Steane codes); in quantum error correction, CSS codes are a special type of stabilizer codes constructed from classical ...
Yansheng Wu, Yoonjin Lee
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Exploiting degeneracy in belief propagation decoding of quantum codes
Quantum information needs to be protected by quantum error-correcting codes due to imperfect physical devices and operations. One would like to have an efficient and high-performance decoding procedure for the class of quantum stabilizer codes.
Kao-Yueh Kuo, Ching-Yi Lai
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Construction of quaternary quantum error-correcting codes via orthogonal arrays
This paper presents a method based on orthogonal arrays of constructing pure quaternary quantum error-correcting codes. As an application of the method, some infinite classes of quantum error-correcting codes with distances 2, 3, and 4 can be obtained ...
Shanqi Pang +6 more
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A Nonadditive Quantum Code [PDF]
Up to now every good quantum error-correcting code discovered has had the structure of an eigenspace of an Abelian group generated by tensor products of Pauli matrices; such codes are known as stabilizer or additive codes. In this letter we present the first example of a code that is better than any code of this type.
Rains, Eric M. +3 more
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Construction of Some New Quantum BCH Codes
Classical Bose-Chaudhuri-Hocquenghem (BCH) codes over finite fields have been studied extensively. One can construct quantum stabilizer codes with good parameters using classical BCH codes. In this paper, our goal is to find such classical BCH codes.
Ming Zhang +3 more
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Quantum bicyclic hyperbolic codes [PDF]
16 ...
Sankara Sai Chaithanya Rayudu +1 more
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Quantum variational learning for quantum error-correcting codes [PDF]
Quantum error correction is believed to be a necessity for large-scale fault-tolerant quantum computation. In the past two decades, various constructions of quantum error-correcting codes (QECCs) have been developed, leading to many good code families ...
Chenfeng Cao +4 more
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Asymmetric Quantum Codes: New Codes from Old [PDF]
In this paper we extend to asymmetric quantum error-correcting codes (AQECC) the construction methods, namely: puncturing, extending, expanding, direct sum and the (u|u + v) construction.
La Guardia, Giuliano G.
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Quantum Serial Turbo Codes [PDF]
We present a theory of quantum serial turbo-codes, describe their iterative decoding algorithm, and study their performances numerically on a depolarization channel. Our construction offers several advantages over quantum LDPC codes. First, the Tanner graph used for decoding is free of 4-cycles that deteriorate the performances of iterative decoding ...
Poulin, David +2 more
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Decoding Schemes for Foliated Sparse Quantum Error Correcting Codes [PDF]
Foliated quantum codes are a resource for fault-tolerant measurement-based quantum error correction for quantum repeaters and for quantum computation.
Bolt, A., Poulin, D., Stace, T. M.
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