Bell violation versus geometric measure of quantum discord and their dynamical behavior

Abstract

Motivated by recent numerous works on the interplay among various measures of quantum correlations, we aim to investigate the relationship between the violation of Clauser-Horne-Shimony-Holt (CHSH) Bell inequality and geometric measure of quantum discord for two-qubit systems. Exact lower and upper bounds of Bell violation versus geometric discord are obtained for a specific and significant class of states, Bell diagonal states, and the respective states which suffice those bounds are also characterized. The dynamical behavior of these two quantifiers is carefully analyzed in the presence of decoherence, including Markovian, non-Markovian, and non-back-action quantum environments. The results suggest that Bell violation is closely related to geometric discord, like its relationship with other entanglement monotones.

Published version. 9 pages, 16 figures

References in corpus (16)

• Device-independent security of quantum cryptography against collective attacks
• Finite-Time Disentanglement via Spontaneous Emission
• Quantum discord and the power of one qubit
• Necessary and sufficient condition for non-zero quantum discord
• Sudden Death of Entanglement
• Experimental quantum computing without entanglement
• Non-Markovian effects on the dynamics of entanglement
• Quantum Open System Theory: Bipartite Aspects
• Device-independent quantum key distribution secure against collective attacks
• Robustness of quantum discord to sudden death
• Classical and quantum correlations under decoherence
• No-local-broadcasting theorem for quantum correlations
• Quantum discord for general two--qubit states: Analytical progress
• Local basis-dependent noise-induced Bell-nonlocality sudden death in tripartite systems
• Bell inequality violation versus entanglement in presence of local decoherence
• Decay of nonlocality due to adiabatic and quantum noise in the solid state