Entropic uncertainty relation for mutually unbiased bases

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 2, 2009, Pages

  Wu, Shengjun ^a,b   Yu, Sixia ^b,c   Mølmer, Klaus ^a  

^a AARHUS UNIVERSITY   (Denmark)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

MUTUALLY UNBIASED BASIS; PROJECTIVE MEASUREMENTS; UNCERTAINTY RELATIONS;

EID: 61449165732     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.022104     Document Type: Article

References (24)

1. H. P. Robertson, Phys. Rev. 34, 163 (1929). 10.1103/PhysRev.34.163
2. E. Schrödinger, Sitzungsber. Preuss. Akad. Wiss., Phys. Math. Kl. 19, 296 (1930).
3. I. D. Ivonovic, J. Phys. A 14, 3241 (1981). 10.1088/0305-4470/14/12/019
4. W. K. Wootters and B. D. Fields, Ann. Phys. (N.Y.) 191, 363 (1989). 10.1016/0003-4916(89)90322-9
5. A. Klappenecker and M. Roetteler, e-print arXiv:quant-ph/0309120.
6. A. O. Pittenger and M. H. Rubin, Linear Algebr. Appl. 390, 255 (2004). 10.1016/j.laa.2004.04.025
7. C. H. Bennett and G. Brassard, in Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India, 1984 (IEEE, New York, 1984), pp. 175-179.
8. D. Bruss, Phys. Rev. Lett. 81, 3018-3021 (1998). 10.1103/PhysRevLett.81. 3018
9. H. Bechmann-Pasquinucci and N. Gisin, e-print arXiv:quant-ph/9807041.
10. D. Deutsch, Phys. Rev. Lett. 50, 631 (1983). 10.1103/PhysRevLett.50.631
11. I. Bengtsson, J. Math. Phys. 48, 052106 (2007). 10.1063/1.2716990
12. K. Kraus, Phys. Rev. D 35, 3070 (1987). 10.1103/PhysRevD.35.3070
13. H. Maassen and J. B. M. Uffink, Phys. Rev. Lett. 60, 1103 (1988). 10.1103/PhysRevLett.60.1103
14. M. J. W. Hall, Phys. Rev. Lett. 74, 3307 (1995). 10.1103/PhysRevLett.74. 3307
15. M. J. W. Hall, Phys. Rev. A 55, 100 (1997). 10.1103/PhysRevA.55.100
16. M. A. Ballester and S. Wehner, Phys. Rev. A 75, 022319 (2007). 10.1103/PhysRevA.75.022319
17. I. D. Ivonovic, J. Phys. A 25, L363 (1992). 10.1088/0305-4470/25/7/014
18. J. Sánchez, Phys. Lett. A 173, 233 (1993). 10.1016/0375-9601(93) 90269-6
19. J. Sánchez-Ruiz, Phys. Lett. A 201, 125 (1995). 10.1016/0375-9601(95)00219-S
20. U. Larsen, J. Phys. A 23, 1041 (1990). 10.1088/0305-4470/23/7/013
21. A. Jamiolkowski, Rep. Math. Phys. 3, 275 (1972). 10.1016/0034-4877(72) 90011-0
22. P. Harremoes and F. Topsoe, IEEE Trans. Inf. Theory 47, 2944 (2001). 10.1109/18.959272
23. C. Tsallis, J. Stat. Phys. 52, 479 (1988). 10.1007/BF01016429
24. A. Rényi, in Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, edited by, J. Neyman, (University of California Press, Berkeley, 1961), Vol. 1, pp. 547-561.