Results 11 to 20 of about 2,519,218 (264)
Avoiding coherent errors with rotated concatenated stabilizer codes [PDF]
npj Quantum Information, 2021 Coherent errors, which arise from collective couplings, are a dominant form of noise in many realistic quantum systems, and are more damaging than oft considered stochastic errors.
Yingkai Ouyang
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Entanglement-assisted concatenated quantum codes [PDF]
Proceedings of the National Academy of Sciences, 2022 Entanglement-assisted concatenated quantum codes (EACQCs), constructed by concatenating two quantum codes, are proposed. These EACQCs show significant advantages over standard concatenated quantum codes (CQCs). First, we prove that, unlike standard CQCs, EACQCs can beat the nondegenerate Hamming bound for entanglement-assisted quantum error-correction ...
Jihao Fan +4 more
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Generalized Concatenation for Quantum Codes [PDF]
Proceedings 2009 IEEE International Symposium on Information
Theory (ISIT 2009), Seoul, Korea, June/July 2009, pp. 953-957, 2009 We show how good quantum error-correcting codes can be constructed using generalized concatenation. The inner codes are quantum codes, the outer codes can be linear or nonlinear classical codes. Many new good codes are found, including both stabilizer codes as well as so-called nonadditive codes.
Grassl, Markus +2 more
arxiv +6 more sources
Building a Fault-Tolerant Quantum Computer Using Concatenated Cat Codes [PDF]
PRX Quantum, 2022 We present a comprehensive architectural analysis for a proposed fault-tolerant quantum computer based on cat codes concatenated with outer quantum error-correcting codes.
Christopher Chamberland +15 more
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Concatenated codes: serial and parallel [PDF]
IEEE International Symposium on Information Theory, 2003. Proceedings., 2003 An analogy is examined between serially concatenated codes and parallel concatenations whose interleavers are described by bipartite graphs with good expanding properties. In particular, a modified expander code construction is shown to behave very much like Forney's classical concatenated codes, though with improved decoding complexity.
Alexander Barg, Gilles Zémor
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Concatenated codes with convolutional inner codes [PDF]
IEEE Transactions on Information Theory, 1988 The minimum distance of concatenated codes with Reed-Solomon outer codes and convolutional inner codes is studied. For suitable combinations of parameters the minimum distance can be lower-bounded by the product of the minimum distances of the inner and outer codes.
Thommesen, Christian +2 more
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Quantum repeaters based on concatenated bosonic and discrete-variable quantum codes [PDF]
npj Quantum Information, 2021 We propose an architecture of quantum-error-correction-based quantum repeaters that combines techniques used in discrete- and continuous-variable quantum information.
Filip Rozpędek +4 more
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Universal Fault-Tolerant Gates on Concatenated Stabilizer Codes [PDF]
Physical Review X, 2016 It is an oft-cited fact that no quantum code can support a set of fault-tolerant logical gates that is both universal and transversal. This no-go theorem is generally responsible for the interest in alternative universality constructions including magic ...
Theodore J. Yoder +2 more
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The Road From Classical to Quantum Codes: A Hashing Bound Approaching Design Procedure
IEEE Access, 2015 Powerful quantum error correction codes (QECCs) are required for stabilizing and protecting fragile qubits against the undesirable effects of quantum decoherence. Similar to classical codes, hashing bound approaching QECCs may be designed by exploiting a
Zunaira Babar +4 more
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Thresholds for Universal Concatenated Quantum Codes [PDF]
Physical Review Letters, 2016 Quantum error correction and fault-tolerance make it possible to perform quantum computations in the presence of imprecision and imperfections of realistic devices. An important question is to find the noise rate at which errors can be arbitrarily suppressed. By concatenating the 7-qubit Steane and 15-qubit Reed-Muller codes, the 105-qubit code enables
Tomas Jochym-O'Connor +4 more
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