Entropic uncertainty relation for mutually unbiased bases

Abstract

We derive new inequalities for the probabilities of projective measurements in mutually unbiased bases of a qudit system. These inequalities lead to wider ranges of validity and tighter bounds on entropic uncertainty inequalities previously derived in the literature.

7 pages, references added

References in corpus (1)

• Entropic uncertainty relations and locking: tight bounds for mutually unbiased bases

Cited by in corpus (7)

• Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality
• On uncertainty relations and entanglement detection with mutually unbiased measurements
• Variance-based uncertainty relations for incompatible observables
• Block circulant matrices with circulant blocks, weil sums and mutually unbiased bases, II. The prime power case
• Maximum nonlocality and minimum uncertainty using magic states
• Complementarity of information sent via different bases
• Information gain versus coupling strength in quantum measurements