# Quantum Error Code 90

## Contents |

**Quant. **Phys. Preprint at http://arXiv.org/abs/1407.5103 (2014).18.Kubica, A. & Beverland, M. This is an important consideration as we search for schemes that realize fault-tolerant quantum computation with a low cost in quantum resources. http://vealcine.com/quantum-error/quantum-error-code.php

The data show that pth converges to psus∼0.31% where we fit for values N≤8. We evaluate the variables in equation (4) as A∼0.033, α∼0.516 and β∼0.822 using ∼5,000 CPU hours with data for N≤10. Importantly, we require that the lattice has four boundaries, distinguished by colors from set .Single-shot error correctionA quantum error-correcting code is designed to identify and correct errors. Theory 50, 2315–2330 (2004) CrossRefMathSciNet14.

## Quantum Error Correction For Beginners

Bartlett, H. Subscribe now I want to rent this article Rent this article from DeepDyve Personal subscribers to Nature can view articles published from 1997 to the current issue. Login via your institution Login via OpenAthens Log in Email: Password: save your password What happens if I save my password Forgotten your password You can request this document from a Fault-tolerant error correction with the gauge color code.

Schaetz1,3, **M. **The system returned: (22) Invalid argument The remote host or network may be down. Browne.Supplementary informationPDF files1.Supplementary InformationSupplementary Figures 1-8 and Supplementary Notes 1-3.This work is licensed under a Creative Commons Attribution 4.0 International License. Active error correction for Abelian and non-Abelian anyons.

In general, however, one must worry that large correlated errors can be introduced that adversarially corrupt encoded information45,46,47,48,49,50. Scheme for reducing decohernece in quantum computer memory. Rev. http://link.aps.org/doi/10.1103/PhysRevA.90.062320 The yellow surface is the simulated logical error rate given T1 for a qubit encoded in the |1L〉 state in surface-17.

Comp. 10, 0780–0802 (2010).53.Bombin, H., Duclos-Cianci, G. & Poulin, D. A simple error-correcting code could, for instance, instantiate a single qubit of data as three physical qubits. Your cache administrator is webmaster. Lett. 111, 200501 (2013).CASPubMedArticle36.Anwar, H., Brown, B.

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- Cornell University Library We gratefully acknowledge support fromthe Simons Foundation and member institutions arXiv.org > quant-ph > arXiv:1607.00627 Search or Article-id (Help | Advanced search) All papers Titles Authors Abstracts
- This destructive transversal measurement gives us the eigenvalues of stabilizers to diagnose E and to thus recover the eigenvalue of .During readout, measurement errors and physical errors have an equivalent effect;
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- This work is supported by the EPSRC and the Villum Foundation.Author informationAffiliationsNiels Bohr International Academy, Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen, DenmarkBenjamin J.
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## Quantum Error Correction Lidar

Flammia and M. http://www.nature.com/articles/nature03074 Fattal, and D. Quantum Error Correction For Beginners Nat. Quantum Code Discovering single-shot error-correction protocols with simpler codes might help to address such questions.MethodsThreshold calculationsThe threshold error rate, pth, is the physical error rate below which the logical failure rate of the

Program of IBS School-UST Institute for Basic Science Faculty Position for Research Director of the Animal BSL3 Facility at Duke-NUS DUKE-NUS Medical school More science jobs Post a job Realization of have a peek at these guys Rev. Rev. The branching point indicates a stabilizer defect at a red cell. (c) Strings of incorrect face outcomes of colors rg and gb terminate at a yellow boundary.Full size imageAs we have

Lett. 109, 160503 (2012).CASPubMedArticle45.Ahronov, D., Kitaev, A. & Preskill, J. Quant. X 5, 031043 (2015).20.Bombín, H. check over here Calderbank, E.M.

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## Blakestad1, J.

We estimate a sustainable error rate of psus∼0.31% using an efficient clustering decoding scheme34,35,36,37,38,39 that runs in time 35, where the distance of the code is d=L+2 (ref. 7). Phys. We see this using the fitting functionsFigure 8: Variation in constant values α and β plotted against the number of error-correction cycles.Unitless values, α and β, plotted as a function of A physical error is a Pauli-X error on a qubit, whereas a measurement error returns the opposite outcome of the correct reading.

Applied Phys. Nat. Brittonmore authors of this article nature jobs Ph.D. http://vealcine.com/quantum-error/quantum-error-code-2401.php The first stage, syndrome estimation, uses face outcomes that may be unreliable to estimate the locations of stabilizer defects.

By measuring all the faces of the lattice, we redundantly recover each stabilizer eigenvalue three times where the three outcomes of a given cell are constrained to agree. A. Inf. 1, 15010 (2015).Article58.Stephens, A. We will call the outcome of a face operator measurement a face outcome.Given suitable boundary conditions7,42, the code encodes one qubit, whose logical operators are and , where is the set

Press (2013).12.Eastin, B. & Knill, E. The APS Physics logo and Physics logo are trademarks of the American Physical Society. Inf. Rev.

B 75, 075103 (2007).CASArticle5.Bombin, H. Please try the request again. Details on the fitting calculation are given in Methods. Information about registration may be found here.

Specifically, the boundary colored w contains faces of color uv, where u, vw. Nielsen, and I.L. D. Ming Hsieh Electrical Engineering Department, University of Southern California, Los Angeles, CA, 90089, USA Continue reading...

Phys. Register now I want to subscribe to Nature Price: US$199 This includes a free subscription to Nature News together with Nature Journal. Browne in:NPG journals • PubMed • Google ScholarContributionsOriginal concept conceived by B.J.B. It follows from the three colorability of the faces that the product of the gauge operators of any of the differently colored subsets of faces of cell c recover the stabilizer