Results 1 to 10 of about 163,882 (275)
On the Automorphisms of a Sfield [PDF]
Proceedings of the National Academy of Sciences, 1949 Loo-Keng Hua
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AUTOMORPHISM COMMUTATORS [PDF]
Proceedings of the National Academy of Sciences, 1929 G. A. Miller
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Quantum computation from dynamic automorphism codes [PDF]
Quantum, 2023 We propose a new model of quantum computation comprised of low-weight measurement sequences that simultaneously encode logical information, enable error correction, and apply logical gates.
M. Davydova +3 more
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Adiabatic paths of Hamiltonians, symmetries of topological order, and automorphism codes [PDF]
Physical review B, 2022 The recent"honeycomb code"is a fault-tolerant quantum memory defined by a sequence of checks which implements a nontrivial automorphism of the toric code. We argue that a general framework to understand this code is to consider continuous adiabatic paths
D. Aasen, Zhenghan Wang, M. Hastings
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On the Automorphism Group of Polar Codes [PDF]
International Symposium on Information Theory, 2021 The automorphism group of a code is the set of permutations of the codeword symbols that map the whole code onto itself. For polar codes, only a part of the automorphism group was known, namely the lower-triangular affine group (LTA), which is solely ...
Marvin Geiselhart +4 more
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A characterization of skew $b$-derivations in prime rings [PDF]
Journal of Mahani Mathematical Research, 2023 Let $R$ be a prime ring, $\alpha$ an automorphism of $R$ and $b$ an element of $Q$, the maximal right ring of quotients of $R$. The main purpose of this paper is to characterize skew $b$-derivations in prime rings which satisfy various differential ...
Shakir Ali +3 more
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Polar Codes for Automorphism Ensemble Decoding [PDF]
Information Theory Workshop, 2021 In this paper we deal with polar code automorphisms that are beneficial under low-latency automorphism ensemble (AE) decoding, and we propose polar code designs that have such automorphisms.
Charles Pillet +2 more
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The Complete Affine Automorphism Group of Polar Codes [PDF]
Global Communications Conference, 2021 Recently, a permutation-based successive cancellation (PSC) decoding framework for polar codes attracts much attention. It decodes several permuted codewords with indepen-dent successive cancellation (SC) decoders. Its latency thus can be reduced to that
Yuan Li +6 more
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Automorphisms of thickenings [PDF]
Bulletin of the American Mathematical Society, 1967 J. P. E. Hodgson
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On the automorphisms of hypersurfaces [PDF]
Kyoto Journal of Mathematics, 1963 H. Matsumura, Paul Monsky
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