Results 91 to 100 of about 4,093,339 (192)

Coding Techniques for Data-Storage Systems [PDF]

open access: yes, 2008
As information-bearing objects, data-storage systems are natural consumers of information-theoretic ideas. For many issues in data-storage systems, the best trade-off between cost, performance and reliability, passes through the application of error ...
Cassuto, Yuval
core   +1 more source

Quantum subsystem codes, CFTs and their ℤ 2-gaugings

open access: yesJournal of High Energy Physics
We construct Narain conformal field theories (CFTs) from quantum subsystem codes, a more comprehensive class of quantum error-correcting codes than quantum stabilizer codes, for qudit systems of prime dimensions.
Keiichi Ando   +2 more
doaj   +1 more source

Good additive cyclic quantum error-correcting codes [PDF]

open access: yes, 2004
This thesis is about the quantum error-correcting codes. Although there are many methods to construct them, finding a good quantum code is still a complicated and difficult task, for we do not know which methods to use.
Luo, Ai
core   +1 more source

Lattice Surgery for Dummies

open access: yesSensors
Quantum error correction (QEC) plays a crucial role in correcting noise and paving the way for fault-tolerant quantum computing. This field has seen significant advancements, with new quantum error correction codes emerging regularly to address errors ...
Avimita Chatterjee   +2 more
doaj   +1 more source

Mathematical models of message authentication in the post-quantum cryptosystems based on error-correcting coding

open access: yesНаука. Инновации. Технологии, 2022
The paper discusses possibilities for use of message authentication signatures schemes based on error-correcting coding which may be candidates for use in post-quantum cryptography.
Aleksandr Aleksandrovich Kuznetsov   +2 more
doaj  

Low-overhead defect-adaptive surface code with bandage-like super-stabilizers

open access: yesnpj Quantum Information
To make practical quantum algorithms work, large-scale quantum processors protected by error-correcting codes are required to resist noise and ensure reliable computational outcomes. However, a major challenge arises from defects in processor fabrication,
Zuolin Wei   +9 more
doaj   +1 more source

About on the obtaining of some quantum code parameters from (−2vm−1 + 1)-constacyclic codes over the ring R = 𝔽q + v𝔽q + · · · + vm−1𝔽q

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this study, the hull dimensions of (−2vm−1 +1)-constacyclic codes over the ring R = 𝔽q + v𝔽q + · · · + vm−1𝔽q with vm = v are determined. In addition, by using a special Gray map, a necessary condition is given under which the generator polynomial of ...
Gökgöz Gökhan, Öke Figen
doaj   +1 more source

Quantum Error Correction: Decoders for the Toric Code

open access: yes, 2019
Quantum error correction is needed for future quantum computers. Classical error correcting codes are not suitable for this due to the nature of quantum mechanics. Therefore, new codes need to be developed.
Leijenhorst, Nando (author)
core  

Shrinking of operators in quantum error correction and AdS/CFT

open access: yesJournal of High Energy Physics, 2019
We first show that a class of operators acting on a given bipartite pure state on ℋ A ⊗ ℋ B can shrink its supports on ℋ A ⊗ ℋ B to only ℋ A or ℋ B while keeping its mappings. Using this result, we show how to systematically construct the decoders of the
Hayato Hirai
doaj   +1 more source

High-threshold error-correcting codes for biased noise with advanced decoding strategies [PDF]

open access: yes
Quantum computers are highly sensitive to noise due to interactions with the environment, which severely limits the utility of near-term devices. Quantum error correction addresses this challenge by encoding logical information over multiple qubits in ...
Srivastava, Basudha
core   +1 more source

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