Quantumness and entropic uncertainty for a pair of static Unruh-DeWitt detectors

Abstract

In this study, we investigate a pair of detectors operating in Minkowski space-time and analyze the characteristics of various quantum resources within this framework. Specifically, we focus on examining the properties of Bell nonlocality, quantum coherence, the nonlocal advantage of quantum coherence (NAQC), and measured uncertainty in relation to the energy ratio and the distance between the detectors. Additionally, we examine how the initial states influence these quantum properties. Notably, our findings reveal that both a larger energy ratio and a greater separation between the detectors degrade the system's quantumness. Moreover, we explore the evolution of entropic uncertainty and demonstrate its inverse correlation with both Bell nonlocality and coherence, highlighting the intricate interplay between these quantum resources. These insights provide a deeper understanding of quantumness in a relativistic framework and may contribute to the ongoing discussion on the black hole information paradox.

11 pages, 9 figures. Comments are welcome. Under review in PRD

References in corpus (10)

• Non-Abelian Anyons and Topological Quantum Computation
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Entanglement negativity in quantum field theory
• Frozen Quantum Coherence
• Conjectured Strong Complementary Information Tradeoff
• Max- relative entropy of coherence: an operational coherence measure
• Quantum discord and classical correlation can tighten the uncertainty principle in the presence of quantum memory
• Entropic uncertainty relations and locking: tight bounds for mutually unbiased bases
• Fine-grained lower limit of entropic uncertainty in the presence of quantum memory