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Decoding Quantum Error Correction Codes With Local Variation
IEEE Transactions on Quantum Engineering, 2020 In this article, we investigate the role of local information in the decoding of the repetition and surface error correction codes for the protection of quantum states.
Michael Hanks +2 more
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Physical Review X, 2012 Many quantum systems are being investigated in the hope of building a large-scale quantum computer. All of these systems suffer from decoherence, resulting in errors during the execution of quantum gates. Quantum error correction enables reliable quantum
Austin G. Fowler +3 more
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Quantum error-correcting codes and their geometries
Annales de l’Institut Henri Poincaré D, Combinatorics, Physics and their Interactions, 2023 This is an expository article aiming to introduce the reader to the underlying mathematics and geometry of quantum error correction. Information stored on quantum particles is subject to noise and interference from the environment. Quantum error-correcting codes allow the negation of these effects in order to successfully restore the original quantum ...
Ball, Simeon Michael +2 more
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Compilation of a simple chemistry application to quantum error correction primitives
Physical Review ResearchA number of exciting recent results have been seen in the field of quantum error correction. These include initial demonstrations of error correction on current quantum hardware and resource estimates which improve understanding of the requirements to ...
Nick S. Blunt +2 more
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Practical and scalable decoder for topological quantum error correction with an Ising machine
Physical Review Research, 2022 Quantum error correction is one of the most important milestones for the realization of large-scale quantum computation. To achieve this, it is essential not only to integrate a large number of qubits with high fidelity but also to build a scalable ...
Jun Fujisaki +3 more
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Quantum error correction via robust probe modes [PDF]
Phys. Rev. A 73, 060302R (2006), 2005 We propose a new scheme for quantum error correction using robust continuous variable probe modes, rather than fragile ancilla qubits, to detect errors without destroying data qubits. The use of such probe modes reduces the required number of expensive qubits in error correction and allows efficient encoding, error detection and error correction ...
arxiv +1 more source
Hamiltonian learning for quantum error correction [PDF]
Physical Review Research, 2019 The efficient validation of quantum devices is critical for emerging technological applications. In a wide class of use-cases the precise engineering of a Hamiltonian is required both for the implementation of gate-based quantum information processing as well as for reliable quantum memories.
Valenti, Agnes +3 more
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Quantum Error Correction During 50 Gates [PDF]
Physical Review A 89, 020301(R) (2014), 2013 Fault tolerant protocol assumes the application of error correction after every quantum gate. However, correcting errors is costly in terms of time and number of qubits. Here we demonstrate that quantum error correction can be applied significantly less often with only a minimal loss of fidelity.
arxiv +1 more source
Scientific ReportsThe post-processing of quantum key distribution mainly includes error correction and privacy amplification. The error correction algorithms and privacy amplification methods used in the existing quantum key distribution are completely unrelated. Based on
Lei Chen, Xiao-Ming Chen, Ya-Long Yan
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Transversal diagonal logical operators for stabiliser codes
New Journal of Physics, 2023 Storing quantum information in a quantum error correction code can protect it from errors, but the ability to transform the stored quantum information in a fault tolerant way is equally important.
Mark A Webster +2 more
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