Uncertainty relations based on mutually unbiased measurements

DOI10.1007/s11128-015-0949-5zbMath1317.81171arXiv1407.6816OpenAlexW2052871649MaRDI QIDQ2355624

Bin Chen, Shao-Ming Fei

Publication date: 24 July 2015

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6816

zbMATH Keywords

uncertainty relationsmutually unbiased measurementsRényi and Tsallis entropiesindex of coincidence

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Measures of information, entropy (94A17)

Related Items (9)

Variance-based uncertainty relations for incompatible observables ⋮ Sum uncertainty relations based on Wigner-Yanase skew information ⋮ Sum uncertainty relations based on \((\alpha,\beta, \gamma)\) weighted Wigner-Yanase-Dyson skew information ⋮ Entropic uncertainty relations for \((N, M)\)-POVMs ⋮ New separability criteria based on two classes of measurements ⋮ Total variance and invariant information in complementary measurements ⋮ An uncertainty relation in terms of generalized metric adjusted skew information and correlation measure ⋮ Two generalized Wigner-Yanase skew information and their uncertainty relations ⋮ Tighter sum uncertainty relations via variance and Wigner-Yanase skew information for \(N\) incompatible observables

Cites Work

• Unnamed Item
• Unnamed Item
• Possible generalization of Boltzmann-Gibbs statistics.
• Improved bounds in the entropic uncertainty and certainty relations for complementary observables
• Construction of all general symmetric informationally complete measurements
• Entropic uncertainty relations—a survey
• ON MUTUALLY UNBIASED BASES
• Inequalities between entropy and index of coincidence derived from information diagrams
• Mutually unbiased measurements in finite dimensions
• Symmetric informationally complete positive-operator-valued measures: A new computer study
• Majorization entropic uncertainty relations

This page was built for publication: Uncertainty relations based on mutually unbiased measurements