Results 31 to 40 of about 4,093,339 (192)
Homological error correction: Classical and quantum codes [PDF]
Journal of Mathematical Physics, 2007 We prove several theorems characterizing the existence of homological error correction codes both classically and quantumly. Not every classical code is homological, but we find a family of classical homological codes saturating the Hamming bound. In the quantum case, we show that for nonorientable surfaces it is impossible to construct homological ...
Bombin, H., Martin-Delgado, M. A.
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Entanglement-assisted codeword-stabilized quantum codes with imperfect ebits
ICT Express, 2016 In quantum communication systems, quantum error-correcting codes (QECCs) are known to exhibit improved performance with the use of error-free entanglement bits (ebits).
Byungkyu Ahn, Jeonghwan Shin, Jun Heo
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Convolutional-Neural-Network-Based Hexagonal Quantum Error Correction Decoder
Applied Sciences, 2023 Topological quantum error-correcting codes are an important tool for realizing fault-tolerant quantum computers. Heavy hexagonal coding is a new class of quantum error-correcting coding that assigns physical and auxiliary qubits to the vertices and edges
Aoqing Li, Fan Li, Qidi Gan, Hongyang Ma
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Sparse-Graph Codes for Quantum Error Correction [PDF]
IEEE Transactions on Information Theory, 2004 Version 7.3e: 42 pages. Extended version, Feb 2004.
David J. C. MacKay +2 more
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New Quantum Codes Constructed by Quantum Caps in PG(3,9) and PG(4,9)
IEEE Access, 2020 In this paper, we present a computer-supported method of searching for quantum caps. By means of this method and relevant knowledge of combinatorics, many quantum caps in $PG(3,9)$ and $PG(4,9)$ are constructively proven to exist.
Husheng Li, Ruihu Li, Qiang Fu
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A Remote Quantum Error-Correcting Code Preparation Protocol on Cluster States
Mathematics, 2023 The blind quantum computation (BQC) protocol allows for privacy-preserving remote quantum computations. In this paper, we introduce a remote quantum error correction code preparation protocol for BQC using a cluster state and analyze its blindness in the
Qiang Zhao +4 more
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Entanglement generation and self-correcting quantum memories [PDF]
, 2012 Building a working quantum computer that is able to perform useful calculations remains a challenge. With this thesis, we are trying to contribute a small piece to this puzzle by addressing three of the many fundamental questions one encounters along the
Röthlisberger, Beat
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Eigenstate thermalization hypothesis and approximate quantum error correction
Journal of High Energy Physics, 2019 The eigenstate thermalization hypothesis (ETH) is a powerful conjecture for understanding how statistical mechanics emerges in a large class of many-body quantum systems. It has also been interpreted in a CFT context, and, in particular, holographic CFTs
Ning Bao, Newton Cheng
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Choice of Optimal Error-Correcting Code for Physical Unclonable Functions [PDF]
, 2015 This thesis explores error-correcting codes which can be used in physical unclonable function (PUF) applications. We investigate linear block codes and concatenated codes, which are traditionally used with PUFs, and compare them to convolutional codes ...
Jarvis, Brian
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Subclass problem-dependent design for error-correcting output codes [PDF]
, 2008 A common way to model multiclass classification problems is by means of Error-Correcting Output Codes (ECOCs). Given a multiclass problem, the ECOC technique designs a code word for each class, where each position of the code identifies the membership of
Radeva, Petia +4 more
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