Results 21 to 30 of about 40,499 (317)
Asymmetric quantum error-correcting codes [PDF]
Physical Review A, 2007 The noise in physical qubits is fundamentally asymmetric: in most devices, phase errors are much more probable than bit flips. We propose a quantum error correcting code which takes advantage of this asymmetry and shows good performance at a relatively small cost in redundancy, requiring less than a doubling of the number of physical qubits for error ...
Ioffe, Lev, Mezard, Marc
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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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Quantum Convolutional Error Correction Codes [PDF]
Physical Review A, 1998 I report two general methods to construct quantum convolutional codes for quantum registers with internal $N$ states. Using one of these methods, I construct a quantum convolutional code of rate 1/4 which is able to correct one general quantum error for every eight consecutive quantum registers.
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Decoding Schemes for Foliated Sparse Quantum Error Correcting Codes [PDF]
, 2018 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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Quantum error correction with the semion code
New Journal of Physics, 2019 Abstract We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double-semion model. We construct open-string operators that recover the quantum memory from arbitrary errors and closed-string operators that implement the basic logical operations for information processing. Physically, the
Dauphinais, Guillaume +3 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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Error Avoiding Quantum Codes and Dynamical Stabilization of Grover's Algorithm [PDF]
, 2000 An error avoiding quantum code is presented which is capable of stabilizing Grover's quantum search algorithm against a particular class of coherent errors.
Aldo Delgado +14 more
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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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A combinatorial approach to quantum error correcting codes [PDF]
Discrete Mathematics, Algorithms and Applications, 2014 Motivated from the theory of quantum error correcting codes, we investigate a combinatorial problem that involves a symmetric n-vertices colorable graph and a group of operations (coloring rules) on the graph: find the minimum sequence of operations that maps between two given graph colorings.
German Luna +3 more
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