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RESEARCH PRODUCT

Limits on entropic uncertainty relations

Andris Ambainis

subject

Nuclear and High Energy PhysicsGeneral Physics and AstronomyStatistical and Nonlinear PhysicsState (functional analysis)Prime (order theory)Theoretical Computer ScienceCombinatoricsComputational Theory and MathematicsDimension (vector space)Entropic uncertaintyNuclear ExperimentMathematical PhysicsMutually unbiased basesMathematics

description

We consider entropic uncertainty relations for outcomes of the measurements of a quantum state in 3 or more mutually unbiased bases (MUBs), chosen from the standard construction of MUBs in prime dimension. We show that, for any choice of 3 MUBs and at least one choice of a larger number of MUBs, the best possible entropic uncertainty relation can be only marginally better than the one that trivially follows from the relation by Maassen and Uffink for 2 bases.

yearjournalcountryeditionlanguage
2010-09-01Quantum Information and Computation
https://doi.org/10.26421/qic10.9-10-10