Results 21 to 30 of about 2,043 (254)
Adaptive surface code for quantum error correction in the presence of temporary or permanent defects [PDF]
Quantum, 2023 Whether it is at the fabrication stage or during the course of the quantum computation, e.g. because of high-energy events like cosmic rays, the qubits constituting an error correcting code may be rendered inoperable.
Adam Siegel +3 more
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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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Good quantum error-correcting codes exist [PDF]
Physical Review A, 1996 A quantum error-correcting code is defined to be a unitary mapping (encoding) of k qubits (2-state quantum systems) into a subspace of the quantum state space of n qubits such that if any t of the qubits undergo arbitrary decoherence, not necessarily independently, the resulting n qubits can be used to faithfully reconstruct the original quantum state ...
Calderbank, A. R., Shor, Peter W.
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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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Simple quantum error-correcting codes [PDF]
Physical Review A, 1996 Methods of finding good quantum error correcting codes are discussed, and many example codes are presented. The recipe C_2^{\perp} \subseteq C_1, where C_1 and C_2 are classical codes, is used to obtain codes for up to 16 information qubits with correction of small numbers of errors. The results are tabulated.
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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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Correcting non-independent and non-identically distributed errors with surface codes [PDF]
Quantum, 2023 A common approach to studying the performance of quantum error correcting codes is to assume independent and identically distributed single-qubit errors.
Konstantin Tiurev +4 more
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