# Quantum Error Correction Orthogonal Geometry

Rev. However, the discovery of quantum error correction and the proof of the accuracy threshold theorem nearly ten years ago gave rise to extensive development and research aimed at creating a working, The conjecture was that any tiling of Euclidean n-space by unit cubes contains two cubes meeting in a full (n-1)-dimensional face. Cube tilings of Rn and nonlinear codes (PDF) by J. weblink

Assuming no knowledge of quantum mechanics **and written at** an intuitive level suitable for the engineer, the book gives all the essential principles needed to design and implement quantum electronic and Margolus, P. P. Rev. https://arxiv.org/abs/quant-ph/9605005

The author also includes a derivation of well-known bounds on the parameters of quantum error correcting code. DiVincenzo, P. 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

The adaptive classical capacity of a quantum channel, or information capacities of three symmetric pure states in three dimensions. Math. Comb. Shor (42 pages) This paper is a followup to the previous paper, "Keller's cube-tiling conjecture is false in high dimensions," and shows that there are cube tilings in n dimensions such

It appeared in Applied Geometry and Discrete Mathematics: The Victor Klee Festschrift (P. Dr. 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. 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...https://books.google.gr/books/about/Quantum_Error_Correction.html?hl=el&id=XV9sAAAAQBAJ&utm_source=gb-gplus-shareQuantum Error CorrectionΗ βιβλιοθήκη μουΒοήθειαΣύνθετη

Shor, John A. Provides everything an engineer needs in one tutorial-based introduction to understand and implement quantum-level circuitsAvoids the heavy use of mathematics by not assuming the previous knowledge of quantum mechanicsProvides in-depth coverage 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. Rev.

- A quantum error-correcting code is a way of encoding quantum states into qubits (two-state quantum systems) so that error or decoherence in a small number of individual qubits has little or
- Lett. 78, pp. 1600-1603 (1997).
- Bennett, R.
- Rev.

Calderbank, R. More about the author A. 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. Bennett, D P.

The existence of quantum error-correcting codes was discovered only recently [1]. http://vealcine.com/quantum-error/quantum-error-correction-usc.php A quite out-of-date publications list (including papers not available electronically) is also on the web. So if you're looking for my latest papers, you should check there as well. Djordjevic is an Assistant Professor in the Department of Electrical and Computer Engineering of College of Engineering, University of Arizona, with a joint appointment in the College of Optical Sciences.

Some of these papers are earlier versions than the ones that appear in journals, and the journal versions may be slightly improved. 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. by Peter Shor (44 pages) This is a paper showing that there is an additional classical capacity of a quantum channel between the C1 capacity, which is the capacity achievable by check over here Aaron GulliverArXiv20161 ExcerptAbelian Hypergroups and Quantum ComputationJuan Bermejo-Vega, Kevin C.

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Quantum Information Theory (Postscript) (Postscript) or (PDF), by Charles H. Minor changes have been made to the rest of the paper Subjects: Quantum Physics (quant-ph) Journalreference: Phys.Rev.Lett.78:405-408,1997 DOI: 10.1103/PhysRevLett.78.405 Citeas: arXiv:quant-ph/9605005 (or arXiv:quant-ph/9605005v3 for this version) Submission history From: Peter Rev. J.

BrunΕπιμελητέςDaniel A. However, the discovery of quantum error correction and the proof of the accuracy threshold theorem nearly ten years ago gave rise to extensive development and research aimed at creating a working, Your cache administrator is webmaster. this content Bennett and Peter Shor (52 pages) This is a survey on quantum information theory which will appear in the IEEE Transactions on Information Theory (October, 1998).

Sloane, Experimental Math. 5, pp. 139-159 (1996). David Forney, Saikat GuhaArXiv2005Highly Influenced6 ExcerptsConstructions of Good Entanglement-Assisted Quantum Error Correcting CodesKenza Guenda, Somphong Jitman, T. London AA SteaneProc. Quantum Nonlocality without Entanglement (Postscript) by Charles H.

Rev. Information Theory20152 ExcerptsQuantum Codes from Generalized Reed-Solomon Codes and Matrix-Product CodesTao Zhang, Gennian GeArXiv2015Stabilizer quantum codes from J-affine variety codes and a new Steane-like enlargementCarlos Galindo, Fernando Hernando, Diego RuanoQuantum Information Provides the right balance among the quantum mechanics, quantum error correction, quantum computing and quantum communication. However, the theoretical aspects of these papers have been concentrated on properties and rates of the codes [7,10–12], rather than on recipes for constructing them.

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