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Product and sum uncertainty relations based on metric-adjusted skew information

Published 1 Apr 2022 in quant-ph | (2204.00332v1)

Abstract: The metric-adjusted skew information establishes a connection between the geometrical formulation of quantum statistics and the measures of quantum information. We study uncertainty relations in product and summation forms of metric-adjusted skew information. We present lower bounds on product and summation uncertainty inequalities based on metric-adjusted skew information via operator representation of observables. Explicit examples are provided to back our claims.

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