Fault-Tolerant Quantum Computation with Higher-Dimensional Systems

作者: Daniel Gottesman

DOI: 10.1007/3-540-49208-9_27

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摘要: Instead of a quantum computer where the fundamental units are 2-dimensional qubits, we can consider made up d-dimensional systems. There is straightforward generalization class stabilizer codes to systems, and I will discuss theory fault-tolerant computation using such codes. prove that universal possible with any higher-dimensional code for prime d.

参考文章(10)
Daniel Gottesman, Theory of fault-tolerant quantum computation Physical Review A. ,vol. 57, pp. 127- 137 ,(1998) , 10.1103/PHYSREVA.57.127
A. M. Steane, Error Correcting Codes in Quantum Theory. Physical Review Letters. ,vol. 77, pp. 793- 797 ,(1996) , 10.1103/PHYSREVLETT.77.793
David P. DiVincenzo, Peter W. Shor, Fault-Tolerant Error Correction with Efficient Quantum Codes Physical Review Letters. ,vol. 77, pp. 3260- 3263 ,(1996) , 10.1103/PHYSREVLETT.77.3260
Daniel Gottesman, Class of quantum error-correcting codes saturating the quantum Hamming bound Physical Review A. ,vol. 54, pp. 1862- 1868 ,(1996) , 10.1103/PHYSREVA.54.1862
A. R. Calderbank, E. M. Rains, P. W. Shor, N. J. A. Sloane, Quantum Error Correction and Orthogonal Geometry Physical Review Letters. ,vol. 78, pp. 405- 408 ,(1997) , 10.1103/PHYSREVLETT.78.405
E.M. Rains, Nonbinary quantum codes IEEE Transactions on Information Theory. ,vol. 45, pp. 1827- 1832 ,(1999) , 10.1109/18.782103
A.R. Calderbank, E.M. Rains, P.M. Shor, N.J.A. Sloane, Quantum error correction via codes over GF(4) international symposium on information theory. ,vol. 44, pp. 1369- 1387 ,(1997) , 10.1109/18.681315
P.W. Shor, Fault-tolerant quantum computation foundations of computer science. pp. 56- 65 ,(1996) , 10.1109/SFCS.1996.548464