Competitions between quantum correlations in the quantum-memory-assisted entropic uncertainty relation

Abstract

With the aid of a quantum memory, the uncertainty about the measurement outcomes of two incompatible observables of a quantum system can be reduced. We investigate this measurement uncertainty bound by considering an additional quantum system connected with both the quantum memory and the measured quantum system. We find that the reduction of the uncertainty bound induced by a quantum memory, on the other hand, implies its increasing for a third participant. We also show that the properties of the uncertainty bound can be viewed from perspectives of both quantum and classical correlations, in particular, the behavior of the uncertainty bound is a result of competitions of various correlations between different parties.

5 pages, 2 figures, the final version as that published in Phys. Rev. A

References in corpus (16)

• Quantum discord and the power of one qubit
• Necessary and sufficient condition for non-zero quantum discord
• Experimental quantum computing without entanglement
• Distillation of secret key and entanglement from quantum states
• Quantum information can be negative
• Interpreting quantum discord through quantum state merging
• Operational interpretations of quantum discord
• Quantum discord for general two--qubit states: Analytical progress
• Conjectured Strong Complementary Information Tradeoff
• Operational Significance of Discord Consumption: Theory and Experiment
• Conservation law for distributed entanglement of formation and quantum discord
• Optimal measurements to access classical correlations of two-qubit states
• Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory
• Quantum-memory-assisted entropic uncertainty principle under noise
• Polygamy of Distributed Entanglement
• Quantum-memory-assisted entropic uncertainty relation with a single nitrogen-vacancy center in diamond