Entropic uncertainty relations in the Heisenberg \(XXZ\) model and its controlling via filtering operations

DOI10.1007/s11128-018-1857-2zbMath1395.81135OpenAlexW2793208583MaRDI QIDQ1654057

Liu Ye, Ai-Jun Huang, Wen-Yang Sun, Wei-Nan Shi, Fei Ming, Dong Wang

Publication date: 7 August 2018

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

Full work available at URL: https://doi.org/10.1007/s11128-018-1857-2

zbMATH Keywords

entropic uncertainty relationlower boundfiltering operationmixedness

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum measurement theory, state operations, state preparations (81P15) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Measures of information, entropy (94A17) Analysis of variance and covariance (ANOVA) (62J10) Statistical mechanics of magnetic materials (82D40) Quantum coherence, entanglement, quantum correlations (81P40) Quantum control (81Q93)

Related Items (12)

Entropic uncertainty relation in Garfinkle-Horowitz-Strominger dilation black hole ⋮ Entropic uncertainty relation of a qubit–qutrit Heisenberg spin model and its steering ⋮ Quantum‐Memory‐Assisted Entropic Uncertainty Relations ⋮ Entanglement and Entropic Uncertainty of Two Two‐Level Atoms ⋮ Dynamical characteristic of entropic uncertainty relation in the long-range Ising model with an arbitrary magnetic field ⋮ Topological basis realization associated with spin-1 non-Hermitian XXZ model ⋮ Relationship between quantum-memory-assisted entropic uncertainty and steered quantum coherence in a two-qubit X state ⋮ Comparing the quantum memory-assisted entropic uncertainties of spin-qubit in presence of spin-qutrit and spin-qubit quantum memories in Heisenberg spin chains ⋮ Time evolution of quantum-memory-assisted entropic uncertainty relation and quantum correlations under dissipative environment ⋮ Quantum-memory-assisted entropic uncertainty in two-qubit Heisenberg \(XYZ\) chain with Dzyaloshinskii-Moriya interactions and effects of intrinsic decoherence ⋮ How stochastic strictly incoherent operations affect coherence in decoherence channels ⋮ Quantum-memory-assisted entropic uncertainty in two-qubit Heisenberg XX spin chain model

Cites Work

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• Controlling of entropic uncertainty in qubits system under the generalized amplitude damping channel via weak measurements
• Entropic uncertainty relation in de Sitter space
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• Exploring entropic uncertainty relation in the Heisenberg \(XX\) model with inhomogeneous magnetic field
• Steering quantum-memory-assisted entropic uncertainty under unital and nonunital noises via filtering operations
• Entropic uncertainty relations under the relativistic motion
• The effects of mixedness and entanglement on the properties of the entropic uncertainty in Heisenberg model with Dzyaloshinski-Moriya interaction
• Effect of local filtering on freezing phenomena of quantum correlation
• Entanglement Sampling and Applications
• True precision limits in quantum metrology
• Reducing quantum-memory-assisted entropic uncertainty by weak measurement and weak measurement reversal
• Quantum Discord: A Measure of the Quantumness of Correlations
• Unconditional Security From Noisy Quantum Storage

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