Optimal copying of one quantum bit

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 6, 1998, Pages 4377-4393

  Niu, Chi Sheng ^a   Griffiths, Robert B ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BIT ERROR RATE; COPYING; CRYPTOGRAPHY; EIGENVALUES AND EIGENFUNCTIONS; INFORMATION THEORY; MATRIX ALGEBRA; OPTIMIZATION; QUALITY ASSURANCE; RANDOM PROCESSES; TWO DIMENSIONAL; VECTORS;

BLOCH SPHERE LANGUAGE; CENTERED ELLIPSOID; CONCAVITY PROPERTY; ONE QUANTUM BIT; OPTIMAL COPYING; QUANTUM CIRCUIT; QUANTUM COPYING MACHINE; SYMMETRY PROPERTY; TWO DIMENSIONAL HILBERT SPACE;

QUANTUM THEORY;

EID: 0032382058     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.4377     Document Type: Article

References (24)

1. W. K. Wootters and W. H. Zurek, Nature (London) 299, 802 (1982).NATUAS
2. H. Barnum, C. Caves, C. Fuchs, R. Jozsa, and B. Schumacher, Phys. Rev. Lett. 76, 2818 (1996).PRLTAO
3. For an introduction to the subject, see C. Bennett, G. Brassard, and A. Ekert, Sci. Am. 267(10), 50 (1992); SCAMAC
4. R. J. Hughes, D. M. Alde, P. Dyer, G. G. Luther, G. L. Morgan, and M. Schauer, Contemp. Phys. 36, 149 (1995).CTPHAF
5. C. Fuchs, N. Gisin, R. B. Griffiths, C.-S. Niu, and A. Peres, Phys. Rev. A 56, 1163 (1997).PLRAAN
6. V. Bužek and M. Hillery, Phys. Rev. A 54, 1844 (1996).PLRAAN
7. D. Bruß, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, Phys. Rev. A 57, 2368 (1998).PLRAAN
8. N. Gisin and S. Massar, Phys. Rev. Lett. 79, 2153 (1997).PRLTAO
9. D. Bruß, A. Ekert, and C. Macchiavello, Phys. Rev. Lett.81, 2598 (1998).PRLTAO
10. R. F. Werner, e-print quant-ph/9804001.
11. V. Bužek and M. Hillery, e-print quant-ph/9801009.
12. V. Bužek, S. L. Braunstein, M. Hillery, and D. Bruß, Phys. Rev. A 56, 3446 (1997).PLRAAN
13. N. J. Cerf, e-print quant-ph/9803058;
14. N. J. Cerfe-print quant-ph/9805024.
15. The same expression derived from a different formalism can be found in I. L. Chuang and M. A. Nielsen, J. Mod. Opt. 44, 2455 (1997).JMOPEW
16. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis (Cambridge University Press, Cambridge, 1991).
17. A. Peres, Quantuam Theory: Concepts and Methods (Kluwer, Dordrecht, 1993), p. 282.
18. C. A. Fuchs, e-print quant-ph/9611010.
19. A. Barenco et al, Phys. Rev. A 52, 3457 (1995).PLRAAN
20. C.-S. Niu and R. B. Griffiths, e-print quant-ph/9810008.
21. C. Bennett, and G. Brassard, in Proceedings of the IEEE International Conference on Computer, System, and Signal Processing, Bangalore, India (IEEE, New York, 1984), p. 175.
22. P. Zanardi, e-print quant-ph/9804011.
23. C. A. Fuchs, Ph.D. thesis, University of New Mexico, 1995.
24. V. Buz̆ek, M. Hillery, and R. Bednik, Acta Phys. Slov.48, 177 (1998). APSVCO