Uncertainty relations based on mutually unbiased measurements

Bin Chen; Shao-Ming Fei

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arXiv · 1407.6816

Uncertainty relations based on mutually unbiased measurements

Bin Chen·Shao-Ming Fei

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Abstract

We derive uncertainty relation inequalities according to the mutually unbiased measurements. Based on the calculation of the index of coincidence of probability distribution given by $d+1$ MUMs on any density operator $ρ$ in $\mathbb{C}^{d}$, both state-dependent and state-independent forms of lower entropic bounds are given. Furthermore, we formulate uncertainty relations for MUMs in terms of Rényi and Tsallis entropies.

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Bin Chen, Shao-Ming Fei. 2014-07-25. Uncertainty relations based on mutually unbiased measurements. https://arxiv.org/abs/1407.6816

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