Quantum-memory-assisted entropic uncertainty principle, teleportation and entanglement witness in structured reservoirs

Abstract

We relate the principle of quantum-memory-assisted entropic uncertainty to quantum teleportation and show geometrically that any two-qubit state which lowers the upper bound of this uncertainty relation is useful for teleportation. We also explore the efficiency of this entropic uncertainty principle on witnessing entanglement in a general class of bosonic structured reservoirs. The entanglement regions witnessed by different estimates are determined, which may have no relation with the explicit form of the spectral density of the reservoir for certain special chosen sets of the initial states.

7 pages, 6 figures, the final version as that published in Phys. Rev. A

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• Entropic uncertainty relations under the relativistic motion
• Experimental investigation of entropic uncertainty relations and coherence uncertainty relations
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• Entropic uncertainty relation in Garfinkle-Horowitz-Strominger dilation black hole
• Enhancing the geometric quantum discord in the Heisenberg {\it XX} chain by Dzyaloshinsky-Moriya interaction
• Tighter sum uncertainty relations via metric-adjusted skew information
• Ohmic Reservoir-based non-Markovianity and Quantum Speed Limit Time
• Entanglement witness and entropy uncertainty of open Quantum systems under Zeno effect
• Quantifying Quantumness in (A)dS spacetimes with Unruh-DeWitt Detector
• Tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements
• Improving teleportation fidelity in structured reservoirs
• Thermal quantum discord in the Heisenberg chain with impurity
• Uncertainty relations for unified ($\alpha$,$\beta$)-relative entropy of coherence under mutually unbiased equiangular tight frames
• Generalized entropic uncertainty relation and non-classicality in Schwarzschild black hole
• The reduction of entropy uncertainty for qutrit system under non-Markov noisy environment
• Multiparticle Entanglement Resolution Analyzer based on Quantum-Control-Assisted Uncertainty Relation
• A signature of quantumness in pure decoherence control
• Stronger sum uncertainty relations for non-Hermitian operators
• Evolution of Entanglement Witness of Dicke State under Noise and Error Mitigation
• Stronger uncertainty relations with improvable upper and lower bounds
• Off-resonant preservation and generation of imaginarity in distributed scenarios
• The quantum uncertainty relations of quantum channels
• Tighter entropic uncertainty relations in the presence of quantum memories for complete sets of mutually unbiased bases
• The dynamics of entropy uncertainty for qutrit system under the random telegraph noise
• Entropic uncertainty in the background of expanding de Sitter space-time
• Entropic uncertainty under indefinite causal order and input-output direction