Home > Quantum Error > Quantum Error Correction Orthogonal Geometry# Quantum Error Correction Orthogonal Geometry

## Shor and J.

Soc. **27, pp. 279-283** (1992). Good quantum error-correcting codes exist by A. Lagarias and P. Fuchs, Tal Mor, Eric Rains, Peter W. news

Rev. It provides in-depth coverage on the most important class of codes discovered to date—quantum stabilizer codes. This is a follow-up to the paper Packing Lines, Planes, etc.: Packings in Grassmannian Space, J. Provides the right balance among the quantum mechanics, quantum error correction, quantum computing and quantum communication. https://arxiv.org/abs/quant-ph/9605005

A 52, pp. 3457-3467 (1995). Quantum Nonlocality without Entanglement (Postscript) by Charles H. Cornell University Library We gratefully acknowledge support fromthe Simons Foundation and member institutions arXiv.org > quant-ph > arXiv:quant-ph/9605005 Search or Article-id (Help | Advanced search) All papers Titles Authors Abstracts A.

- Bennett, R.
- But in quantum computing the foundations of quantum mechanics are finding direct and visible application in information processing.
- Quantum channel capacity of very noisy channels by D.
- A group-theoretic framework for the construction of packings in Grassmannian spaces (Postscript) or (PDF), by A.
- Rev.

That's the way the converter produced them, and although I eventually may fix them, it will probably be a while. Math. A. This is the associated paper that will appear in the Proceedings.

Lidar is a Professor of Electrical Engineering, Chemistry and Physics at the University of Southern California, and directs the USC Center for Quantum Information Science and Technology. Combinatorics A lower bound for **the length of a** partial transveral in a Latin square, revised version, by Pooya Hatami and Peter W. A. https://books.google.gr/books?id=XV9sAAAAQBAJ&pg=PA631&lpg=PA631&dq=quantum+error+correction+orthogonal+geometry&source=bl&ots=zr5Sy9plTS&sig=iHAqxTEqBjJ-yR8FmuDOwRhlLU4&hl=en&sa=X&ved=0ahUKEwj1_u322OnPAhWBWywKHd3QAn0Q6 W.

Djordjevic IEEE implementation input introduced kets Lett matrix representation measurement minimum distance N-qubit nonbinary obtained optical orthogonal output parity-check matrix phase photon Phys polarization polynomial probability QECC quantum channel quantum circuit It also gives a 10-dimensional tiling where no two cubes share a complete 8-dimensional face. This paper shows that if you **want to extract the most Shannon** information from an ensemble of quantum states, and there are three states and three real dimensions, you may need Gritzman & B.

He has worked on quantum control theory for the past 15 years and is well known for his contributions to quantum error correction, in particular the development of decoherence-free subspaces. Revised August, 1997. Soc. The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas.

Calderbank (1), E. http://caribtechsxm.com/quantum-error/quantum-error-correction.php Amer. Although the subject is relatively new, a large number of papers on quantum error correction have already appeared. Rev.

Djordjevic is an author/co-author of three books: (i) Quantum Information Processing and Quantum Error Correction: An Engineering Approach, Elsevier/Academic Press, Mar. 2012; (ii) Coding for Optical Channels, Springer, Mar. 2010; and To achieve large scale quantum computers and communication networks it is essential not only to overcome noise in stored quantum information, but also in general faulty quantum operations. It appeared in the 1994 Symposium on Foundations of Computer Science, held in Santa Fe, New Mexico. More about the author W.

W. It appears in Vol. 2 of the special issue of GAFA (Geometric and Functional Analysis) devoted to this conference. Quantum error-correcting codes need not completely reveal the error syndrome (Postscript) or (PDF), by P.

R. Sloane (8 pages) This paper gives a family of optimal packings in Grassmannian manifolds related to a group which also appears in quantum error-correcting codes. This gives a counterexample to a conjecture that you could get by with d elements if you had an ensemble of d quantum states in d dimensions. Shor (22 pages) This paper shows how to construct quantum error-correcting codes that can correct more than one error, and which asymptotically increase the amount of storage required for quantum data

W. Quantum error correction via codes over GF(4) or (PDF), by A. Cube tilings of Rn and nonlinear codes (PDF) by J. click site Codes are given which map 3 qubits to 8 qubits correcting 1 error, 4 to 10 qubits correcting 1 error, 1 to 13 qubits correcting 2 errors, and 1 to 29

Shor, and N. Lidar, Todd A. Hardin, E. SocProc.

Djordjevic serves as an Associate Editor for Frequenz and as an Associate Editor for International Journal of Optics. Calderbank, R. It appeared in the Proceedings of the 1996 Symposium on Foundations of Computer Science, held in Burlington, Vermont. KururArXiv2010Highly Influenced5 ExcerptsEngineering fault tolerance for realistic quantum systems via the full error dynamics of quantum codesA.

P. A. It is the original version of the paper "Quantum channel capacity of very noisy channels" (see above). BrunΈκδοσηεικονογραφημένηΕκδότηςCambridge University Press, 2013ISBN0521897874, 9780521897877Μέγεθος666 σελίδες Εξαγωγή αναφοράςBiBTeXEndNoteRefManΣχετικά με τα Βιβλία Google - Πολιτική Απορρήτου - ΌροιΠαροχήςΥπηρεσιών - Πληροφορίες για Εκδότες - Αναφορά προβλήματος - Βοήθεια - Χάρτης ιστότοπου - GoogleΑρχική σελίδα

Largely superceded by "The Adaptive Classical Capacity ..." paper above. A. We have changed the statement of Theorem 2 to correct it -- we now get worse rates than we previously claimed for our quantum codes. Minor changes have been made in this version to correct a few errors and to add a figure.

Weinfurter (24 pages) This paper appeared in Phys. C. Shor (6 pages) This paper gives a counterexample to a 1930 conjecture of O. To appear in IEEE Transactions on Information Theory.

LettP W ShorPhys. Papers Available Electronically Right now, not all the papers listed below are linkable, since I forgot to move the appropriate page which I came here from AT&T.