Zobrazeno 1 - 10
of 2 375
pro vyhledávání: '"Hamming bound"'
Publikováno v:
IEEE BITS the Information Theory Magazine 2, 33 (2022)
It is well-known that pure quantum error correcting codes (QECCs) are constrained by a quantum version of the Hamming bound. Whether impure codes also obey such a bound, however, remains a long-standing question with practical implications for the ef
Externí odkaz:
http://arxiv.org/abs/2208.11800
Autor:
Raveendran, Nithin, Rengaswamy, Narayanan, Rozpędek, Filip, Raina, Ankur, Jiang, Liang, Vasić, Bane
Publikováno v:
Quantum 6, 767 (2022)
Quantum error correction has recently been shown to benefit greatly from specific physical encodings of the code qubits. In particular, several researchers have considered the individual code qubits being encoded with the continuous variable Gottesma
Externí odkaz:
http://arxiv.org/abs/2111.07029
Akademický článek
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We report two analytical bounds for quantum error-correcting codes that do not have preexisting classical counterparts. Firstly the quantum Hamming and Singleton bounds are combined into a single tighter bound, and then the combined bound is further
Externí odkaz:
http://arxiv.org/abs/1005.4758
Autor:
Li, Zhuo, Xing, Lijuan
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 quantum codes. We partially solve this problem. We demonstrate that there
Externí odkaz:
http://arxiv.org/abs/0907.3802
Publikováno v:
Phys. Rev. A 81, 032318 (2010)
The parameters of a nondegenerate quantum code must obey the Hamming bound. An important open problem in quantum coding theory is whether or not the parameters of a degenerate quantum code can violate this bound for nondegenerate quantum codes. In th
Externí odkaz:
http://arxiv.org/abs/0812.2674
Ashikhmin and Litsyn showed that all binary stabilizer codes - pure or impure - of sufficiently large length obey the quantum Hamming bound, ruling out the possibility that impure codes of large length can outperform pure codes with respect to sphere
Externí odkaz:
http://arxiv.org/abs/0710.4271
Autor:
Nithin Raveendran, Narayanan Rengaswamy, Filip Rozpędek, Ankur Raina, Liang Jiang, Bane Vasić
Publikováno v:
Quantum, Vol 6, p 767 (2022)
Quantum error correction has recently been shown to benefit greatly from specific physical encodings of the code qubits. In particular, several researchers have considered the individual code qubits being encoded with the continuous variable Gottesma
Externí odkaz:
https://doaj.org/article/588ca7a4aefd4bd79fbb7f795c45c46e
Autor:
Aly, Salah A.
Proving the quantum Hamming bound for degenerate nonbinary stabilizer codes has been an open problem for a decade. In this note, I prove this bound for double error-correcting degenerate stabilizer codes. Also, I compute the maximum length of single
Externí odkaz:
http://arxiv.org/abs/0711.4603
Publikováno v:
IEEE BITS the Information Theory Magazine. :1-6
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e425b1482b509366cc039723d6086b5
https://doi.org/10.1109/mbits.2023.3262219
https://doi.org/10.1109/mbits.2023.3262219