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Quantum Error Correction And Orthogonal Geometry

R. Hardin, E. LettC H Bennett, G Brassard, S Popescu, B Schumacher, J A Smolin, W K WoottersPhys. The reader completed the book will be able design the information processing circuits, stabilizer codes, Calderbank-Shor-Steane (CSS) codes, subsystem codes, topological codes and entanglement-assisted quantum error correction codes; and propose corresponding news

Quantum Error Correction and Fault Tolerant Quantum Computing offers the first full-length exposition on the realization of a theory once thought impossible. 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. W. The procedure is relatively simple and can be made resistant to errors in the correcting process. https://arxiv.org/abs/quant-ph/9605005

Shor This paper contains two results: my proof that stretchability of pseudoline arrangements is NP-hard, and a stronger result of Mnev (for which I provided a somewhat simplified proof), which shows Generated Mon, 24 Oct 2016 22:40:41 GMT by s_nt6 (squid/3.5.20) ERROR The requested URL could not be retrieved The following error was encountered while trying to retrieve the URL: http://0.0.0.9/ Connection Rev. Sleator, J.

  • Dr.
  • That's the way the converter produced them, and although I eventually may fix them, it will probably be a while.
  • Lidar, Todd A.
  • It describes the quantum factoring algorithm and briefly sketches the basics of quantum error correction and quantum fault tolerant computation.
  • It appears in the special issue of the IBM Journal of Research and Development celebrating Charlie Bennett's 60th birthday: Vol. 64, pp. 115-138.
  • R.
  • 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.

Sloane, Experimental Math. 5, pp. 139-159 (1996). R. London ACitationsSort by:InfluenceRecencyShowing 1-10 of 72 extracted citations Quantum Cyclic Code of length dividing $p^{t}+1$Sagarmoy Dutta, Piyush P. W.

P. London AA SteaneProc. Smolin and William K. https://books.google.com/books?id=XV9sAAAAQBAJ&pg=PA631&lpg=PA631&dq=quantum+error+correction+and+orthogonal+geometry&source=bl&ots=zr5Sy9pjWV&sig=yuQY2qP5KDV7kmaU4f45ontyd9o&hl=en&sa=X&ved=0ahUKEwiV0Iyn2OnPAhWLJSwKHUv- Weinstein, Vaneet AggarwalISIT2009Highly Influenced6 ExcerptsSimple Rate-1/3 Convolutional and Tail-Biting Quantum Error-Correcting CodesG.

ERROR The requested URL could not be retrieved The following error was encountered while trying to retrieve the URL: http://0.0.0.7/ Connection to 0.0.0.7 failed. The fact that it took so long shows just how incomprehensible this paper was. Scalable quantum computers require a far-reaching theory of fault-tolerant quantum computation. 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

Quantum analog of the MacWilliams identities in classical coding theory (Postscript) or (PDF), by P. A. David Forney, Saikat GuhaArXiv2005Highly Influenced6 ExcerptsConstructions of Good Entanglement-Assisted Quantum Error Correcting CodesKenza Guenda, Somphong Jitman, T. Elementary gates for quantum computation by A.

LettP W ShorPhys. http://caribtechsxm.com/quantum-error/quantum-error-correction.php Stretchability of pseudoline arrangements is NP-hard, by Peter W. DiVincenzo and P. The system returned: (22) Invalid argument The remote host or network may be down.

Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer (28 pages) This paper shows that efficient algorithms for prime factorization and discrete logarithms exist on a quantum computer. Generated Mon, 24 Oct 2016 22:40:41 GMT by s_nt6 (squid/3.5.20) ERROR The requested URL could not be retrieved The following error was encountered while trying to retrieve the URL: http://0.0.0.8/ Connection This is the associated paper that will appear in the Proceedings. More about the author R.

It shows that error-correcting codes can be devised for encoding quantum information. W. H.

SocA R Calderbank, P J Cameron, W M Kantor, J J SeidelProc.

This should fall under the heading of computer science, geometry, combinatorics, and probability, but I'm arbitrarily just putting it under geometry. Rev. Rev. We have vastly improved the writing, so that now it is much more comprehensible, and corrected the bug.

His current research interests include optical networks, error control coding, constrained coding, coded modulation, turbo equalization, OFDM applications, and quantum error correction. 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. Djordjevic serves as an Associate Editor for Frequenz and as an Associate Editor for International Journal of Optics. click site A Phys.

A 54, pp. 1098-1106 (1996). Smolin, and H. A. Up to my homepage.

Numerous examples from a wide area of application are given to show how the principles can be implemented in practice. Theory A, in press After 25 years, Pooya Hatami found a bug in the first paper I wrote. Voorbeeld weergeven » Wat mensen zeggen-Een recensie schrijvenWe hebben geen recensies gevonden op de gebruikelijke plaatsen.Geselecteerde pagina'sTitelbladInhoudsopgaveIndexVerwijzingenInhoudsopgave1 Introduction1 2 Quantum Error Correcting Codes57 3 Quantum Stabilizer Codes83 Efficient Encoding and Decoding115