Equivalence theorem of uncertainty relations

DOI10.1088/1751-8121/50/3/03LT01zbMath1357.81123arXiv1512.02781OpenAlexW2963760043MaRDI QIDQ2959710

Cong-Feng Qiao, Jun-Li Li

Publication date: 9 February 2017

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

Full work available at URL: https://arxiv.org/abs/1512.02781

zbMATH Keywords

entropycovarianceuncertainty relations

Mathematics Subject Classification ID

Commutation relations and statistics as related to quantum mechanics (general) (81S05) Measures of information, entropy (94A17) Analysis of variance and covariance (ANOVA) (62J10) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (6)

Quantum‐Memory‐Assisted Entropic Uncertainty Relations ⋮ The Optimal Uncertainty Relation ⋮ Quantum Information Measures of the One‐Dimensional Robin Quantum Well ⋮ Effects of Hawking Radiation on the Entropic Uncertainty in a Schwarzschild Space‐Time ⋮ The Generalized Uncertainty Principle ⋮ Entropic uncertainty relation based on generalized uncertainty principle

Cites Work

• Tight state-independent uncertainty relations for qubits
• An optimal entropic uncertainty relation in a two-dimensional Hilbert space
• Improved bounds in the entropic uncertainty and certainty relations for complementary observables
• On a generalized entropic uncertainty relation in the case of the qubit
• General entropy-like uncertainty relations in finite dimensions
• Entropic uncertainty relations—a survey
• The Uncertainty Principle Determines the Nonlocality of Quantum Mechanics
• Uncertainty relations for angular momentum
• Majorization entropic uncertainty relations
• Ascertaining the uncertainty relations via quantum correlations
• Optimality of entropic uncertainty relations

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