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Quantum Error Correction 2011


Quantum error correction of decoherence and faulty control operations forms the backbone of all of quantum information processing. Two different values for the initial entanglement are plotted.Reuse & PermissionsFigure 3Probability of success vs effective channel transmission for the error corrected channel on a log-linear scale for the linear optics Knill, R. the Shor code, encodes 1 logical qubit in 9 physical qubits and can correct for arbitrary errors in a single qubit. weblink

Rev. Frunzio, S. Sloane ([2], [3]); these are also called additive codes. Log in through your institutionYou may be able to gain access using your login credentials for your institution. http://link.aps.org/doi/10.1103/PhysRevA.84.022339

Quantum Error Correction Codes

This means that the Shor code can also repair sign flip error for a single qubit.[2] The Shor code also can correct for any arbitrary errors (both bit flip and sign Comput. ContestData Stories ContestNewsLatest NewsScienceInsiderScienceShotsSifterFrom the MagazineAbout NewsQuizzesJournalsScienceScience AdvancesScience ImmunologyScience RoboticsScience SignalingScience Translational MedicineTopicsAll TopicsSpecial IssuesCustom PublishingCareersArticlesFind JobsCareer ResourcesForumFor EmployersEmployer ProfilesGraduate ProgramsBookletsCareers FeaturesAbout Careers Search Search share Report Experimental Nigg, M.

Found. Quantum circuits implementing these schemes are constructed. Username Enter your Sciencemag.org username. Quantum Code 7 Raymond Laflamme and collaborators found a class of 5-qubit codes which do the same, which also have the property of being fault-tolerant.

A generalisation of this concept are the CSS codes, named for their inventors: A. All rights reserved. Schoelkopf, "Realization of Three-Qubit Quantum Error Correction with Superconducting Circuits," Nature 482, 382-385 (2012), doi:10.1038/nature10786, arXiv:1109.4948 ^ M. https://en.wikipedia.org/wiki/Quantum_error_correction D.

Rev. Bit Flip Memory Error What is more, the outcome of this operation (the syndrome) tells us not only which physical qubit was affected, but also, in which of several possible ways it was affected. These papers, all published in the Physical Review journals, highlight the positive impact that STM and AFM have had, and continue to have, on physical science research. Find out why...Add to ClipboardAdd to CollectionsOrder articlesAdd to My BibliographyGenerate a file for use with external citation management software.Create File See comment in PubMed Commons belowScience. 2011 May 27;332(6033):1059-61.

  • Rev.
  • Reed, L.
  • We implement the correcting three-qubit gate, known as a conditional-conditional NOT (CCNot) or Toffoli gate, using an interaction with the third excited state of a single qubit, in 63 ns.
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Quantum Error Correction For Beginners

Somaroo, "Experimental Quantum Error Correction," Phys. http://science.sciencemag.org/content/332/6033/1059 BarreiroInstitut für Experimentalphysik, Universität Innsbruck, Technikerstraße 25, A-6020 Innsbruck, Austria.Find this author on Google Scholar Find this author on PubMed Search for this author on this site Thomas MonzInstitut für Experimentalphysik, Quantum Error Correction Codes Rev. Stabilizer Codes And Quantum Error Correction Submit Alerts Please log in to add an alert for this article.

A. http://vealcine.com/quantum-error/quantum-error-correction-ppt.php Using it, we perform a single pass of both quantum bit- and phase-flip error correction with 76\pm0.5% process fidelity and demonstrate the predicted first-order insensitivity to errors. Andersen, Quantum optical coherence can survive photon losses using a continuous-variable quantum erasure-correcting code , Nature Photonics 4 10 (2010)(this document online) External links[edit] Prospects Error-check breakthrough in quantum computing[permanent dead Frank Gaitan (2008). "Quantum Error Correction and Fault Tolerant Quantum Computing". 5 Qubit Code

Monz, V. Rev. The initial channel transmission is η=0.9 but the graphs would be almost identical for lower initial channel transmissions. check over here We show that taking this into account leads to a quadratic improvement of the logical error rate.

Barreiro, T. Steane Code Phys. Franson, "Demonstration of quantum error correction using linear optics," Phys.

A quantum error correcting code protects quantum information against errors of a limited form.

A more general class of codes (encompassing the former) are the stabilizer codes discovered by Daniel Gottesman ([1]), and by A. Wikipedia® is a registered trademark of the Wikimedia Foundation, Inc., a non-profit organization. Lett. 5 Qubit Quantum Error Correction For example, in the case where the first qubit is flipped, the result would be | ψ r ′ ⟩ = α 0 | 100 ⟩ + α 1 | 011

Britton, W. J. This theorem seems to present an obstacle to formulating a theory of quantum error correction. http://vealcine.com/quantum-error/quantum-error-correction-usc.php We find the usual Knill-Laflamme conditions applied to a certain operator subspace which, for a generic perturbation, is generated by the Lindblad operators.

DiCarlo, S. Sun, L. D. Your Email Your Name Send To Enter multiple addresses on separate lines or separate them with commas.

Chwalla, M. more... Log in Request Permissions Citation tools Experimental Repetitive Quantum Error Correction By Philipp Schindler, Julio T. We do not capture any email address.