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Sum uncertainty relations for mixed states

    https://doi.org/10.1142/S0219749917500307Cited by:0 (Source: Crossref)

    In this paper, we extend existing variance-based sum uncertainty relations for pure states to those for mixed states by a mathematical approach. Furthermore, we show that the monotonicity of the standard deviation of observables induces a variance-based sum uncertainty relation. Finally, the multiobservable case is also discussed.

    PACS: 03.65.Ta, 03.65.Db, 02.30.Tb