Uncertainty regions of observables and state-independent uncertainty relations

DOI10.1007/s11128-021-03303-wOpenAlexW3210886229MaRDI QIDQ2099569

Junde Wu, Lin Zhang, Shao-Ming Fei, Shun Long Luo

Publication date: 24 November 2022

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

Full work available at URL: https://arxiv.org/abs/2110.14134

zbMATH Keywords

probability density functionuncertainty regionHarish-Chandra-Itzykson-Züber integralstate-independent uncertainty relationuncertainty of observable

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Uncertainty relations, also entropic (81S07)

Related Items (1)

Probability density functions of quantum mechanical observable uncertainties

Cites Work

• Eigenvalue distributions of reduced density matrices
• Probability density of quantum expectation values
• State-independent uncertainty relations and entanglement detection
• Spectral density of mixtures of random density matrices for qubits
• Sum uncertainty relations: uncertainty regions for qubits and qutrits
• Dirac delta function of matrix argument
• Induced measures in the space of mixed quantum states
• The Uncertainty Principle Determines the Nonlocality of Quantum Mechanics
• The joint distribution of the marginals of multipartite random quantum states
• Entropy of an n-system from its correlation with a k-reservoir
• Average entropy of a subsystem
• Proof of Page’s conjecture on the average entropy of a subsystem
• The planar approximation. II
• Uncertainty relations for angular momentum
• Duistermaat–Heckman measure and the mixture of quantum states

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