Quantum information via novel measurements

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 355, Issue 1733, 1997, Pages 2279-2290

  Barnett, Stephen M ^a  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042916793     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1997.0126     Document Type: Article

References (41)

1. Arthurs, E. & Goodman, M. S. 1988 Quantum correlations: a generalized Heisenberg uncertainty relation. Phys. Rev. Lett. 60, 2447-2449.
2. Arthurs, E. & Kelly, J. L. 1965 On the simultaneous measurement of a pair of conjugate observables. Bell Syst. Tech. J. 44, 725-729.
3. Barnett, S. M. & Pegg, D. T. 1989 On the Hermitian optical phase operator. J. Mod. Opt. 36, 7-19.
4. Barnett, S. M. & Pegg, D. T. 1996 Phase measurement by projection synthesis. Phys. Rev. Lett. 76, 4148-4150.
5. Barnett, S. M. & Phoenix, S. J. D. 1996 The principles of quantum cryptography. Phil. Trans. R. Soc. Lond. A 354, 793-803.
6. Barnett, S. M. & Radmore, P. M. 1997 Methods in theoretical quantum optics. Oxford University Press.
7. Barnett, S. M. & Riis, E. 1997 Experimental demonstration of polarization discrimination at the Helstrom bound. J. Mod. Opt. 44, 1061-1064.
8. Beck, M., Smithey, D. T., Cooper, J. & Raymer, M. G. 1993 Experimental determination of number-phase uncertainty relations. Opt. Lett. 18, 1259-1261.
9. Bell, J. S. 1987 Speakable and unspeakable in quantum mechanics. Cambridge University Press.
10. Bennett, C. H. 1992 Quantum cryptography using any two non-orthogonal states. Phys. Rev. Lett. 68, 3121-3124.
11. Busch, P. 1985 Indeterminacy relations and simultaneous measurements in quantum theory. Int. J. Theor. Phys. 24, 63-92.
12. Busch, P. 1987 Some realizable joint measurements of complementary observables. Found. Phys. 17, 905-937.
13. Cirac, J. I. & Zoller, P. 1995 Quantum computations with cold traped ions. Phys. Rev. Lett. 74, 4091-4094.
14. Ekert, A. K. & Josza, R. 1996 Quantum computation and Shor's factoring algorithm. Rev. Mod. Phys. 68, 733-753.
15. Ekert, A. K., Huttner, B., Palma, G. M. & Peres, A. 1994 Eavesdropping on quantum-cryptographical systems. Phys. Rev. A 50, 1047-1056.
16. Fearn, H. & Loudon, R. 1987 Quantum theory of the lossless beam splitter. Opt. Commun. 64, 485-490.
17. Heisenberg, W. 1930 The physical principles of the quantum theory. University of Chicago Press. (Reprinted 1949 New York: Dover).
18. Helstrom, C. W. 1976 Quantum detection and estimation theory. New York: Academic.
19. Huttner B., Imoto, N., Gisin, N. & Mor, T. 1995 Quantum cryptography with coherent states. Phys. Rev. A 51, 1863-1869.
20. Huttner, B., Muller, A., Gautier, J. D., Zbinden, H. & Gisin, N. 1996 Unambiguous quantum measurement of nonorthogonal states. Phys. Rev. A 54, 3783-3789.
21. Ivanovic, I. D. 1987 How to differentiate between non-orthogonal states. Phys. Lett. A 123, 257-259.
22. Loudon, R. 1983 The quantum theory of light. Oxford University Press.
23. Loudon, R. & Knight, P. L. 1987 Squeezed light. J. Mod. Opt. 34, 709-759.
24. Monroe, C., Meekhof, D., King, B. E., Itano, W. M. & Wineland, D. J. 1995 Demonstration of a fundamental quantum logic gate. Phys. Rev. Lett. 75, 4714-4717.
25. Pegg, D. T. & Barnett, S. M. 1989 Phase properties of the quantized single-mode field. Phys. Rev. A 39, 1665-1675.
26. Pegg, D. T. & Barnett, S. M. 1997 Tutorial review: quantum optical phase. J. Mod. Opt. 44, 225-264.
27. Pegg, D. T., Barnett, S. M. & Phillips, L. S. 1997 Quantum phase distribution by projection synthesis. J. Mod. Opt. (In the press.)
28. Peres, A. 1988 How to differentiate between non-orthogonal states. Phys. Lett. A 128, 19.
29. Phoenix, S. J. D. & Townsend, P. D. 1995 Quantum cryptography - how to beat the codebreakers. Contemp. Phys. 36, 165-195.
30. Robertson, H. P. 1929 The uncertainty principle. Phys. Rev. 34, 163-164.
31. Sasaki, M. & Hirota, O. 1996a Two examples of measurement processes illustrating Helstrom's optimum decision bound. Phys. Lett. A 210, 21-25.
32. Sasaki, M. & Hirota, O. 1996b Optimum decision scheme with a unitary control process for binary quantum state control. Phys. Rev. A 54, 2728-2736.
33. Sasaki, M., Usuda, T. S., Hirota, O. & Holevo, A. S. 1996 Applications of the Jaynes-Cummings model for the detection of nonorthogonal quantum states. Phys. Rev. A 53, 1273-1279.
34. She, C. Y. & Heffner, H. 1966 Simultaneous measurement of non-commuting observables. Phys. Rev. 152, 1103-1110.
35. Smithey, D. T., Beck, M., Cooper, J., Raymer, M. G. & Faridani, A. 1993 Complete experimental characterization of the quantum state of a light mode via the Wigner function and the density matrix: application to quantum phase distributions of vacuum and squeezed-vacuum states. Phys. Scripta T 48, 35-44.
36. Stenholm, S. 1992 Simultaneous measurement of conjugate variables. Ann. Phys. (NY) 218, 233-254.
37. Townsend, P. D., Marand, C., Phoenix, S. J. D., Blow, K. J. & Barnett, S. M. 1996 Secure optical communications systems using quantum cryptography. Phil. Trans. R. Soc. Lond. A 354, 805-817.
38. von Neumann, J. 1955 Mathematical foundations of quantum mechanics. Princeton University Press.
39. Walker, N. G. 1987 Quantum theory of multiport optical homodyning. J. Mod. Opt. 34, 15-60.
40. Walker, N. G. & Carroll, J. E. 1984 Simultaneous phase and amplitude measurements on optical signals using a multiport junction. Elect. Lett. 20, 981-983.
41. Walker, N. G. & Carroll, J. E. 1986 Multiport homodyne detection near the quantum noise limit. Opt. Quant. Electr. 18, 355-363.