Entropic uncertainty relation in de Sitter space

Abstract

The uncertainty principle restricts our ability to simultaneously predict the measurement outcomes of two incompatible observables of a quantum particle. However, this uncertainty could be reduced and quantified by a new Entropic Uncertainty Relation (EUR). By the open quantum system approach, we explore how the nature of de Sitter space affects the EUR. When the quantum memory $A$ freely falls in the de Sitter space, we demonstrate that the entropic uncertainty acquires an increase resulting from a thermal bath with the Gibbons-Hawking temperature. And for the static case, we find that the temperature coming from both the intrinsic thermal nature of the de Sitter space and the Unruh effect associated with the proper acceleration of $A$ also brings effect on entropic uncertainty, and the higher temperature, the greater uncertainty and the quicker the uncertainty reaches the maxima value. And finally the possible mechanism behind this phenomenon is also explored.

17 pages, 5 figures

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Cited by in corpus (8)

• Entropic Uncertainty Relations and their Applications
• Effects of Hawking radiation on the entropic uncertainty in a Schwarzschild space-time
• Inhibiting decoherence of two-level atom in thermal bath by presence of boundaries
• Entanglement dynamics in $\kappa$-deformed spacetime
• Entropic uncertainty relation in Garfinkle-Horowitz-Strominger dilation black hole
• Bell inequalities violation within non-Bunch-Davies states
• Probing Uncertainty Relations in Non-Commutative Space
• Quantum Fisher information of a cosmic qubit undergoing non-Markovian de Sitter evolution