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MiS Preprint
41/2015

Uncertainty relations based on mutually unbiased measurements

Bin Chen and Shao-Ming Fei

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 $\rho$ 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.

Received:
Aug 12, 2015
Published:
Aug 14, 2015

Related publications

inJournal
2015 Repository Open Access
Bin Chen and Shao-Ming Fei

Uncertainty relations based on mutually unbiased measurements

In: Quantum information processing, 14 (2015) 6, pp. 2227-2238