Towards variance-matrix characterization of complementarity relations in a continuous variable system

Details Towards variance-matrix characterization of complementarity relations in a continuous variable system Towards variance-matrix characterization of complementarity relations in a continuous variable system

2008-05-15

arxiv.org/abs/0805.2333v1

J. Mod. Opt. 55, 3049 (2008).

Physics

Quantum Physics

7 pages, 4 figures, RevTeX4

Scientific paper

10.1080/09500340802322442

We discuss complementarity relations in a bipartite continuous variable system. Building up from the work done on discrete d-dimensional systems, we prove that for symmetric two-mode states, quantum complementarity relations can be put in a simple relation with the elements of the variance matrix. When this condition is not satisfied, such a connection becomes non-trivial. Our investigation is the first step towards an operative characterization of the complementarity in a scenario that has not been investigated so far.

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