Uncertainty relations based on mutually unbiased measurements

Bin Chen and Shao-Ming Fei

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Submission date: 12. Aug. 2015
Pages: 15
published in: Quantum information processing, 14 (2015) 6, p. 2227-2238 
DOI number (of the published article): 10.1007/s11128-015-0949-5
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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 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.