Complementarity in atomic (finite-level quantum) systems: an information-theoretic approach

Physics – Quantum Physics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

16 pages

Scientific paper

We develop an information theoretic interpretation of the number-phase complementarity in atomic systems, where phase is treated as a continuous positive operator valued measure (POVM). The relevant uncertainty principle is obtained as an upper bound on a sum of knowledge of these two observables for the case of two-level systems. A tighter bound characterizing the uncertainty relation is obtained numerically in terms of a weighted knowledge sum involving these variables. We point out that complementarity in these systems departs from mutual unbiasededness in two signalificant ways: first, the maximum knowledge of a POVM variable is less than log(dimension) bits; second, surprisingly, for higher dimensional systems, the unbiasedness may not be mutual but unidirectional in that phase remains unbiased with respect to number states, but not vice versa. Finally, we study the effect of non-dissipative and dissipative noise on these complementary variables for a single-qubit system.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Complementarity in atomic (finite-level quantum) systems: an information-theoretic approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Complementarity in atomic (finite-level quantum) systems: an information-theoretic approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complementarity in atomic (finite-level quantum) systems: an information-theoretic approach will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-134494

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.