A pr 2 00 5 Discrete phase space based on finite fields

  title={A pr 2 00 5 Discrete phase space based on finite fields},
  author={Kathleen S. Gibbons and Matthew J Hoffman and William K. Wootters},
The original Wigner function provides a way of representing in phase space the quantum states of systems with continuous degrees of freedom. Wigner functions have also been developed for discrete quantum systems, one popular version being defined on a 2N × 2N discrete phase space for a system with N orthogonal states. Here we investigate an alternative class of discrete Wigner functions, in which the field of real numbers that labels the axes of continuous phase space is replaced by a finite… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 22 references

Annals of Physics 176

W. K. Wootters
1 • 1987
View 11 Excerpts
Highly Influenced

Negative Probabilities” in Quantum Implications: Essays in Honour of David Bohm

R. Feynman
edited by B. Hiley and D. Peat • 1987
View 4 Excerpts
Highly Influenced


L. Cohen, M. Scully
Phys. 16, 295 • 1986
View 2 Excerpts
Highly Influenced

Gruppentheorie und Quantenmechanik (Hirzel

H. Weyl
Leipzig 1928), p. 209; H. Weyl, The Theory of Groups and Quantum Mechanics, translated by H. P. Robertson • 1950
View 4 Excerpts
Highly Influenced


W. K. Wootters, IBM J. Res
48, 99 • 2004
View 1 Excerpt


A. R. Calderbank, P. J. Cameron, W. M. Kantor, J. J. Seidel
London Math. Soc. 75, 436 (1997); J. Lawrence, C. Brukner, A. Zeilinger, Phys. Rev. A 65, 032320 (2002); S. Chaturvedi, Phys. Rev. A 65, 044301 • 2002

Sigact News

S. Wiesner
15, no. 1, 78 (1983); C. H. Bennett and G. Brassard, in Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India (IEEE, New York, 1984), pp. 175-179; H. Bechmann-Pasquinucci and A. Peres, Phys. Rev. Lett. 85, 3313 (2000); H. Bechmann-Pasquinucci • 2002
View 1 Excerpt

in Proceedings of the 42nd Annual Symposium on Foundations of Computer Science (FOCS)

H. Barnum, C. Crépeau, D. Gottesman, A. Smith, A. Tapp
pp. 449-458 • 2002
View 2 Excerpts

quant-ph/0106091; C

P. Bianucci, C. Miquel, J. P. Paz, M. Saraceno
Miquel, J. P. Paz, M. Saraceno, E. Knill, R. Laflamme, and C. Negrevergne, Nature 418, 59-62 (2002); C. Miquel, J. P. Paz, M. Saraceno, Phys. Rev. A 65, 062309 (2002); J. P. Paz, Phys. Rev. A 65, 062311 • 2002
View 2 Excerpts

Fundamentals E83-A (10)

R. Matsumoto, T. Uyematsu, IEICE Trans
1878 • 2000
View 2 Excerpts

Similar Papers

Loading similar papers…