Constructing arbitrary Steane code single logical qubit fault-tolerant gates

Quantum Information and Computation

Volumn 11, Issue 9-10, 2011, Pages 867-873

  Fowler, Austin G ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Fault tolerant gates; Quantum computing; Solovay kitaev theorem

Indexed keywords

COMPUTATION THEORY; CONCATENATED CODES; LOGIC GATES; NUMERICAL METHODS; QUBITS;

FAULT-TOLERANT; FAULT-TOLERANT APPROXIMATIONS; NUMBER OF GATES; QUANTUM COMPUTING; SINGLE-QUBIT GATES; SOLOVAY-KITAEV THEOREM; UNITARY GATES; UNIVERSAL GATES;

FAULT TOLERANCE;

EID: 80051780216     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. R. Solovay (1995), Proof of Solovay-Kitaev theorem, unpublished.
2. A. Yu. Kitaev (1997), Quantum computations: Algorithms and error correction, Russ. Math. Surv., Vol.52, pp. 1191-1249.
3. M. A. Nielson and I. L. Chuang (2000), Quantum Computation and Quantum Information, Cambridge University Press (Cambridge).
4. A. W. Harrow, B. Recht, and I. L. Chuang (2002), Efficient discrete approximations of quantum gates, J. Math. Phys., Vol.43, p. 4445, quant-ph/0111031.
5. A. Yu. Kitaev, A. H. Shen, and M. N. Vyalyi (2002), Classical and Quantum Computation, American Mathematical Society, (Providence, RI).
6. C. M. Dawson and M. A. Nielsen (2004), The Solovay-Kitaev Algorithm, Quant. Info. Comput., Vol.6, pp. 81-95.
7. A. M. Steane (1996), Multiple particle interference and quantum error correction, Proc. R. Soc. Lond. A, Vol.452, pp. 2551-2576, quant-ph/9601029.
8. D. Gottesman (1997), Stabilizer Codes and Quantum Error Correction, PhD thesis, Caltech, quant-ph/9705052.
9. P. Aliferis, D. Gottesman, and J. Preskill (2006), Quantum accuracy threshold for concatenated distance-3 codes, Quant. Info. Comp., Vol.6, pp. 97-165, quant-ph/0504218.
10. A. G. Fowler, S. J. Devitt, and L. C. L. Hollenberg (2004), Implementation of Shor's algorithm on a linear nearest neighbour qubit array, Quant. Info. Comp., Vol.4, p. 237, quant-ph/0402196.
11. A. G. Fowler and L. C. L. Hollenberg (2004), Scalability of Shor's algorithm with a limited set of rotation gates, Phys. Rev. A, Vol.70, 032329, quant-ph/0306018.