Entropic Bounds as Uncertainty Measure of Unitary Operators

• URL: http://arxiv.org/abs/2011.11832v1
• Date: Tue, 24 Nov 2020 01:38:44 GMT
• Title: Entropic Bounds as Uncertainty Measure of Unitary Operators
• Authors: Jesni Shamsul Shaari, Rinie N. M. Nasir and Stefano Mancini
• Abstract summary: We show how distinguishable operators are compatible while maximal incompatibility of unitary operators can be connected to bases for some subspaces of operators which are mutually unbiased.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We reformulate the notion of uncertainty of pairs of unitary operators within the context of guessing games and derive an entropic uncertainty relation for a pair of such operators. We show how distinguishable operators are compatible while maximal incompatibility of unitary operators can be connected to bases for some subspace of operators which are mutually unbiased.

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