研究目的
To provide a method for converting the entropic uncertainty relation in the absence of quantum memory to that in its presence and to show that the lower bounds obtained through the method are tighter than those having been achieved so far. Also, to use the method to obtain the uncertainty relations for multiple measurements in the presence of quantum memory and to provide lower bounds on the sum of the relative entropies of unilateral coherences using the uncertainty relations in the presence of quantum memory.
研究成果
The method introduced provides tighter lower bounds for entropic uncertainty relations in the presence of quantum memory compared to existing ones. It also successfully applies to multiple measurements and offers insights into the trade-offs between quantum coherence and uncertainty.
研究不足
The study is theoretical and does not involve experimental validation. The applicability of the derived bounds in practical quantum information tasks is not explored.
