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

@inproceedings{Gibbons2004AP2,
  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},
  year={2004}
}
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

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