A transform of complementary aspects with applications to entropic uncertainty relations

DOI10.1063/1.3477319zbMath1312.81136arXiv1004.5086OpenAlexW3098382117MaRDI QIDQ5253686

Stephanie Wehner, Niranjan Balachandran, Prabha Mandayam

Publication date: 27 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.5086

zbMATH Keywords

mutually unbiased bases

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Atomic physics (81V45) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quadratic spaces; Clifford algebras (11E88)

Related Items (6)

How to re-use a one-time pad safely and almost optimally even if \(\mathrm P=\mathrm{NP}\) ⋮ Entropic uncertainty relations for \((N, M)\)-POVMs ⋮ Fine-grained uncertainty relations for several quantum measurements ⋮ On Uncertainty Relations and Entanglement Detection with Mutually Unbiased Measurements ⋮ Entropic uncertainty relations and the stabilizer formalism ⋮ Rényi formulation of uncertainty relations for POVMs assigned to a quantum design

Cites Work

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• Clifford- and Grassmann-like algebras—Old and new
• Higher entropic uncertainty relations for anti-commuting observables
• Norm inequalities for certain operator sums

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