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Quantum Error Correction With Mixed Ancilla Qubits

Rev. Comments: 5 pages, 8 figures Subjects: Quantum Physics (quant-ph) DOI: 10.1103/PhysRevA.85.044302 Citeas: arXiv:1201.1517 [quant-ph] (or arXiv:1201.1517v2 [quant-ph] for this version) Submission history From: Ben Criger BSc [view email] [v1] Fri, Accel. Please try the request again. have a peek at this web-site

This is shown for four repetition codes correcting bit-flip errors. Mod. Phys. Also, the tolerable q for the fully augmented code is 2−2, identical to the augmented three-qubit code.Reuse & PermissionsFigure 6The augmented version of the “perfect” five-qubit code given in [14] and Homepage

Phys. The system returned: (22) Invalid argument The remote host or network may be down. Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Rev.

This augmentation will be especially useful in quantum computing architectures that do not possess projective measurement, such as solid state NMRQIP. Cornell University Library We gratefully acknowledge support fromthe Simons Foundation and member institutions arXiv.org > quant-ph > arXiv:1209.0557 All papers Titles Authors Abstracts Full text Help pages (Help | Advanced search) B Phys. In particular, they can be in the uniformly mixed state, which makes implementation of our scheme extremely cheap.

Basic subjects as well as advanced theory and a survey of topics from cutting-edge research make this book invaluable both as a pedagogical introduction at the graduate level and as a CoishRead full-textShow morePeople who read this publication also readComputer Network Defense Through Radial Wave Functions Full-text · Article · Oct 2016 · EPL (Europhysics Letters)Ian MalloyRead full-textContextuality without nonlocality in a Rev. pop over to these guys We further give analytical results for spin-echo envelope modulations of arbitrary spin components of a hole spin in a quantum dot, going beyond a standard secular approximation.

In this report, we examine the consequences of relaxing this assumption, and propose a method to increase the fidelity produced by a given code when the ancilla qubits are initialized in Note that the bottom curve (for the unaugmented concatenated code) is identical to the tolerable initialization noise for the three-bit error correcting code when left unconcatenated, shown in Fig. 3. The APS Physics logo and Physics logo are trademarks of the American Physical Society. Note that the tolerable error for small values of p, the parameter describing the main bit-flip channel, approaches 0 rapidly for unaugmented codes.

Read our cookies policy to learn more.OkorDiscover by subject areaRecruit researchersJoin for freeLog in EmailPasswordForgot password?Keep me logged inor log in withPeople who read this publication also read:Article: Study of Multiple http://adsabs.harvard.edu/abs/2013APS..MARM27011N Phys. Generated Tue, 06 Dec 2016 04:19:44 GMT by s_wx1189 (squid/3.5.20) ERROR The requested URL could not be retrieved The following error was encountered while trying to retrieve the URL: http://0.0.0.10/ Connection Rev.

BrunPublisherCambridge University Press, 2013ISBN1107433835, 9781107433830Length592 pagesSubjectsScience›Physics›Quantum TheoryScience / Physics / GeneralScience / Physics / Quantum Theory  Export CitationBiBTeXEndNoteRefManAbout Google Books - Privacy Policy - TermsofService - Blog - Information for Publishers - Check This Out Comments: 5 pages, 5 figures Subjects: Quantum Physics (quant-ph) DOI: 10.1103/PhysRevA.88.022314 Citeas: arXiv:1209.0557 [quant-ph] (or arXiv:1209.0557v2 [quant-ph] for this version) Submission history From: Yasushi Kondo Dr. [view email] [v1] Tue, He has worked in the field of quantum information science for nearly 20 years, and has made many influential contributions to quantum error correction, where he is especially known for his Although carefully collected, accuracy cannot be guaranteed.

D Phys. In contrast, augmentation provides a high tolerable q for every value of p.Reuse & PermissionsFigure 4The initialization error for which an error-correcting code can give a channel fidelity ≥1−34p. The map E in this example is the bit-flip map {1−pÎ,pX̂}. Source In this Brief Report, we examine the consequences of relaxing this assumption and propose a method to increase the fidelity produced by a given code when the ancilla qubits are initialized

BrunCambridge University Press, Sep 12, 2013 - Science - 592 pages 0 Reviewshttps://books.google.com/books/about/Quantum_Error_Correction.html?id=fafqAAAAQBAJQuantum computation and information is one of the most exciting developments in science and technology of the last twenty Mod. Note that the tolerable error for small values of p, the parameter describing the main bit-flip channel, approaches 0 rapidly for unaugmented codes.

The augmentation consists of implementing the Toffoli gate used to correct detected errors before the standard encoding procedure takes place.

This comprehensive text, written by leading experts in the field, focuses on quantum error correction and thoroughly covers the theory as well as experimental and practical issues. The system returned: (22) Invalid argument The remote host or network may be down. See all ›5 CitationsSee all ›18 ReferencesShare Facebook Twitter Google+ LinkedIn Reddit Download Full-text PDFQuantum Error Correction with Mixed Ancilla QubitsArticle (PDF Available) in Physical Review A 85(4) · January 2012 with 22 ReadsDOI: 10.1103/PhysRevA.85.044302 · Source: Bibtex entry for this abstractPreferred format for this abstract (see Preferences) Find Similar Abstracts: Use: Authors Title Abstract Text Return: Query Results Return items starting with number Query Form Database:

Rev. (Series I) Physics Volume: Article: × Sign on SAO/NASA ADS Physics Abstract Service Find Similar Abstracts (with default settings below) · Electronic On-line Article (HTML) · Reads History We demonstrate our scheme experimentally by making use of a three-qubit NMR quantum computer. Accel. http://johnlautner.net/quantum-error/quantum-error-correction-ppt.html Note that the behavior of this code is qualitatively different, having zero tolerable initialization for p∼0.18.

The book is not limited to a single approach, but reviews many different methods to control quantum errors, including topological codes, dynamical decoupling and decoherence-free subspaces. For the full concatenation, all the encoding circuits used are augmented, as in Fig. 1. Lidar, Todd A. B Phys.