Bibliography

1

Special focus issue: Experimental proposals for quantum computation.
Fort. Phys., 48:767-1138, 2000.

2

A. Steane.
Multiple particle interference and quantum error correction.
Proc. R. Soc. Lond. A, 452:2551-2577, 1996.

3

P. W. Shor.
Scheme for reducing decoherence in quantum computer memory.
Phys. Rev. A, 52:2493-2496, 1995.

4

D. Gottesman.
A class of quantum error-correcting codes saturating the quantum hamming bound.
Phys. Rev. A, 54:1862-1868, 1996.

5

A.R. Calderbank, E.M. Rains, P.W. Shor, and N.J.A. Sloane.
Quantum error correction and orthogonal geometry.
Phys. Rev. Lett., 78:405-408, 1997.

6

A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane.
Quantum error correction via codes over gf(4).
IEEE Trans. Inf. Theory, 44:1369-1387, 1998.

7

P. W. Shor.
Fault-tolerant quantum computation.
In Proceedings of the 37th Symposium on the Foundations of Computer Science (FOCS), pages 56-65, Los Alamitos, California, 1996. IEEE press.

8

A. Yu. Kitaev.
Quantum error correction with imperfect gates.
In O. Hirota et al., editor, Quantum Communication and Computing and Measurement, New York, 1997. Plenum.

9

E. Knill and R. Laflamme.
Concatenated quantum codes.
Technical Report LAUR-96-2808, Los Alamos National Laboratory, knill@lanl.gov, 1996.
quant-ph/9608012.

10

D. Aharonov and M. Ben-Or.
Fault-tolerant quantum computation with constant error.
In Proceedings of the 29th Annual ACM Symposium on the Theory of Computation (STOC), pages 176-188, New York, New York, 1996. ACM Press.

11

D. Aharonov and M. Ben-Or.
Fault-tolerant quantum computation with constant error.
quant-ph/9906129, 1999.

12

E. Knill, R. Laflamme, and W. Zurek.
Resilient quantum computation: Error models and thresholds.
Proc. R. Soc. Lond. A, 454:365-384, 1998.

13

E. Knill, R. Laflamme, and W. H. Zurek.
Resilient quantum computation.
Science, 279:342-345, 1998.

14

D. Gottesman.
A theory of fault-tolerant quantum computation.
Phys. Rev. A, 57:127-137, 1998.

15

J. Preskill.
Reliable quantum computers.
Proc. R. Soc. Lond. A, 454:385-410, 1998.

16

E. Knill, R. Laflamme, H. Barnum, D. Dalvit, J. Dziarmaga, J. Gubernatis, L. Gurvits, G. Ortiz, L. Viola, and W. Zurek.
Introduction to quantum information processing.
Technical Report LAUR-01-4761, Los Alamos National Laboratory, 2001.
To appear in LA Science.

17

R. Laflamme, E. Knill, D. Cory, E. M. Fortunato, T. Havel, C. Miquel, R. Martinez, C. Negrevergne, G. Ortiz, M. A. Pravia, S. Sinha, R. Somma, and L. Viola.
Introduction to NMR quantum information processing.
Technical Report LAUR-02-6132, Los Alamos National Laboratory, 2001.
To appear in LA Science.

18

K. Kraus.
States, Effects and Operations: Fundamental Notions of Quantum Theory.
Lecture Notes in Physics, Vol. 190. Springer-Verlag, Berlin, 1983.

19

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters.
Mixed state entanglement and quantum error-correcting codes.
Phys. Rev. A, 54:3824-3851, 1996.

20

B. Schumacher.
Sending entanglement through noisy quantum channels.
Phys. Rev. A, 54:2614-2628, 1996.

21

E. Knill, R. Laflamme, R. Martinez, and C. Negrevergne.
Implementation of the five qubit error correction benchmark.
Phys. Rev. Lett., 86:5811-5814, 2001.

22

E. Knill, R. Laflamme, and L. Viola.
Theory of quantum error correction for general noise.
Phys. Rev. Lett., 84:2525-2528, 2000.

23

A. Ashikhmin and S. Litsyn.
Upper bounds on the size of quantum codes.
IEEE Trans. Inf. Theory, 45:1206-1216, 1999.

24

R. Laflamme, C. Miquel, J.-P. Paz, and W. H. Zurek.
Perfect quantum error-correcting code.
Phys. Rev. Lett., 77:198, 1996.

25

L. Viola, E. Knill, and R. Laflamme.
Constructing qubits in physical systems.
J. Phys. A, 34(LAUR-00-5877):7067-7080, 2001.

26

D.P. DiVincenzo.
The physical implementation of quantum computation.
Fort. Phys., 48:771-783, 2000.

27

M. A. Nielsen.
Universal quantum computation using only projective measurement, quantum memory, and preparation of the $\vert\rangle$ state.
quant-ph/0108020, 2001.

28

D. Gottesman and J. Preskill.
Unpublished analysis of the accuracy threshold., 1999.

29

E. Knill, R. Laflamme, and G. Milburn.
Thresholds for linear optics quantum computation.
Technical Report LAUR-00-3477, Los Alamos National Laboratory, 2000.
quant-ph/0006120.

30

E. Knill.
Linear optics quantum computation i-v.
Tutorial lectures, online at http://online.itp.ucsb.edu/qinfo01/knill$\{$,1,2,3,4,5$\}/$, (expand curly brackets for six links), 2001.

31

H.-J. Briegel, W. Dür, J. I. Cirac, and P. Zoller.
Quantum repeaters for communication.
quant-ph/9803056, 1998.

32

A. Steane.
Efficient fault-tolerant quantum computing.
Nature, 399:124-126, 1999.

33

D. Gottesman and I. L. Chuang.
Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations.
Nature, 402:390-393, 1999.

34

M. A. Nielsen and I. L. Chuang.
Quantum Computation and Quantum Information.
Cambridge University Press, 2001.

35

L. Viola and S. Lloyd.
Dynamical suppression of decoherence in two-state quantum systems.
Phys. Rev. A, 58:2733-2744, 1998.

36

L. Viola, E. Knill, and S. Lloyd.
Dynamical decoupling of open quantum systems.
Phys. Rev. Lett., 82:2417-2421, 1999.

37

M. H. Levitt.
Symmetrical composite pulse sequences for NMR population-inversion 1. compensation for radiofrequency field inhomogeneity.
J. Mag. Res., 48:234-264, 1982.

38

H. K. Cummins and J. A. Jones.
Use of composite rotations to correct systematic errors in NMR quantum computation.
quant-ph/9911072, 1999.