Improved entropic uncertainty relations and information exclusion relations

Abstract

The uncertainty principle can be expressed in entropic terms, also taking into account the role of entanglement in reducing uncertainty. The information exclusion principle bounds instead the correlations that can exist between the outcomes of incompatible measurements on one physical system, and a second reference system. We provide a more stringent formulation of both the uncertainty principle and the information exclusion principle, with direct applications for, e.g., the security analysis of quantum key distribution, entanglement estimation, and quantum communication. We also highlight a fundamental distinction between the complementarity of observables in terms of uncertainty and in terms of information.

11 pages, 1 figure, v2: close to published version

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• Conjectured Strong Complementary Information Tradeoff
• Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory
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• Improved bounds in entropic uncertainty relations

Cited by in corpus (103)

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• Strong Majorization Entropic Uncertainty Relations
• Tightening the entropic uncertainty bound in the presence of quantum memory
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• Quantum uncertainty relation using coherence
• Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
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• Quantum and classical entropic uncertainty relations
• General entropy-like uncertainty relations in finite dimensions
• Effects of Hawking radiation on the entropic uncertainty in a Schwarzschild space-time
• Majorization approach to entropic uncertainty relations for coarse-grained observables
• Entropic uncertainty from effective anti-commutators
• Complementarity and correlations
• Rényi entropy uncertainty relation for successive projective measurements
• Holevo Bound of Entropic Uncertainty in Schwarzschild Spacetime
• Strong entropic uncertainty relations for multiple measurements
• On uncertainty relations and entanglement detection with mutually unbiased measurements
• Experimental investigation of entropic uncertainty relations and coherence uncertainty relations
• Tightening the tripartite quantum memory assisted entropic uncertainty relation
• Multipartite steering inequalities based on entropic uncertainty relations
• Reducing the entropic uncertainty lower bound in the presence of quantum memory via local operation and classical communication
• Tight entropic uncertainty relations for systems with dimension three to five
• Multi-observable Uncertainty Relations in Product Form of Variances
• State-Dependent Approach to Entropic Measurement-Disturbance Relations
• On q-non-extensive statistics with non-Tsallisian entropy
• The Optimal Uncertainty Relation
• The Conditional Uncertainty Principle
• Entropic uncertainty relations from equiangular tight frames and their applications
• Improved Uncertainty Relation in the Presence of Quantum Memory
• Entanglement detection in quantum many-body systems using entropic uncertainty relations
• State-independent preparation uncertainty relations
• Uncertainty, joint uncertainty, and the quantum uncertainty principle
• Majorization entropic uncertainty relations for quantum operations
• Unsharpness of generalized measurement and its effects in entropic uncertainty relations
• Majorization uncertainty relations for mixed quantum states
• Certainty relations, mutual entanglement and non-displacable manifolds
• Improved quantum entropic uncertainty relations
• Uncertainty Relations for coarse-grained measurements: an overview
• Strong unitary uncertainty relations
• Controlling the entropic uncertainty lower bound in two-qubit systems under the decoherence
• Experimentally accessible bounds on distillable entanglement from entropic uncertainty relations
• High-dimensional entanglement certification
• Entropic uncertainty relations with quantum memory in a multipartite scenario
• Fine-grained uncertainty relations for several quantum measurements
• Improving Einstein-Podolsky-Rosen Steering Inequalities with State Information
• Spin-orbit-coupled quantum memory of a double quantum dot
• Entropic uncertainty relation in Garfinkle-Horowitz-Strominger dilation black hole
• Asymptotic entropic uncertainty relations
• Uncertainties of genuinely incompatible triple measurements based on statistical distance
• Multipartite correlations in mutually unbiased bases
• Quantum Uncertainty Principles for Measurements with Interventions
• Relative entropic uncertainty relation
• Uncertainty under Quantum Measures and Quantum Memory
• Entropic measures of joint uncertainty: effects of lack of majorization
• Incompatibility of Observables as State-Independent Bound of Uncertainty Relations
• Operational foundations of complementarity and uncertainty relations
• Uncertainty relations: An operational approach to the error-disturbance tradeoff
• Holevo bound of entropic uncertainty relation under Unruh channel in the context of open quantum systems
• Uncertainty-Reality Complementarity and Entropic Uncertainty Relations
• Rényi formulation of uncertainty relations for POVMs assigned to a quantum design
• Geometric approach to extend Landau-Pollak uncertainty relations for positive operator-valued measures
• Uncertainty relations for characteristic functions
• Tighter sum uncertainty relations via metric-adjusted skew information
• Conditional entropic uncertainty relations for Tsallis entropies
• Quantifying Quantumness in (A)dS spacetimes with Unruh-DeWitt Detector
• Entropic uncertainty relations for successive generalized measurements
• Quasi-Fine-Grained Uncertainty Relations
• Relative entropic uncertainty relation for scalar quantum fields
• Entropic uncertainty relations and the measurement range problem, with consequences for high-dimensional quantum key distribution
• Uncertainty Relation for Mutual Information
• Uncertainty relation based on Wigner-Yanase-Dyson skew information with quantum memory
• Optimal Universal Uncertainty Relations
• Near-Optimal Variance-Based Uncertainty Relations
• Tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements
• Improved unitary uncertainty relations
• Entropic Uncertainty Relations via Direct-Sum Majorization Relation for Generalized Measurements
• Estimating coherence with respect to general quantum measurements
• Enhanced Information Exclusion Relations
• Entropic uncertainty relations for mutually unbiased periodic coarse-grained observables resemble their discrete counterparts
• Relating entropies of quantum channels
• Tight bounds from multiple-observable entropic uncertainty relations
• General framework of quantum complementarity from a measurement-based perspective
• Strong Majorization Uncertainty Relations: Theory and Experiment
• Distribution of Standard deviation of an observable among superposed states
• Uncertainty of quantum channels based on symmetrized \r{ho}-absolute variance and modified Wigner-Yanase skew information
• Individual attacks with generalized discrimination and inadequacy of some information measures
• Flavor-mass majorization uncertainty relations and their links to the mixing matrix
• Multiparticle Entanglement Resolution Analyzer based on Quantum-Control-Assisted Uncertainty Relation
• Witnessing criticality in non-Hermitian systems via entropic uncertainty relation
• Optimizing incompatible triple quantum measurements
• Generalized entropic uncertainty relation and non-classicality in Schwarzschild black hole
• Stronger sum uncertainty relations for non-Hermitian operators
• The quantum uncertainty relations of quantum channels
• Uniform Entanglement Frames
• Sequences of lower bounds for entropic uncertainty relations from bistochastic maps
• Equivalence theorem of uncertainty relations
• Entropic Uncertainty Principle and Information Exclusion Principle for multiple measurements in the presence of quantum memory
• Entropic uncertainty in the background of expanding de Sitter space-time
• Quantum Uncertainty and Entropy
• Tighter entropic uncertainty relations in the presence of quantum memories for complete sets of mutually unbiased bases
• The Diminished Quantum Uncertainty in Multipartite Entanglement
• Rényi divergence inequalities via interpolation, with applications to generalised entropic uncertainty relations