Results 21 to 30 of about 4,093,339 (192)
Theory of quantum error-correcting codes [PDF]
Physical Review A, 1997 34 pages in LaTex, 1 figures, the paper is also available at http://qso.lanl.gov/qc/
Knill, Emanuel, Laflamme, Raymond
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Quantum error correction and large $N$
SciPost Physics, 2021 In recent years quantum error correction (QEC) has become an important part of AdS/CFT. Unfortunately, there are no field-theoretic arguments about why QEC holds in known holographic systems.
Alexey Milekhin
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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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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 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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Stabilizer Codes and Quantum Error Correction [PDF]
, 1997 Controlling operational errors and decoherence is one of the major challenges facing the field of quantum computation and other attempts to create specified many-particle entangled states.
Daniel Gottesman, Gottesman, Daniel Eric
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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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Extending Quantum Error Correction: New Continuous Measurement Protocols and Improved Fault-Tolerant Overhead [PDF]
, 2004 Quantum mechanical applications range from quantum computers to quantum key distribution to teleportation. In these applications, quantum error correction is extremely important for protecting quantum states against decoherence.
Ahn, Charlene Sonja
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Quantum Error-Correcting Hybrid Codes [PDF]
, 2023 Remarkable contributions made in the field of quantum algorithms and theory since 1994 have paved the way for quantum information and quantum computing.
Bengali, Vedangi Vivek
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