Exploration quantum steering, nonlocality and entanglement of two-qubit X-state in structured reservoirs

Abstract

In this work, there are two parties, Alice on Earth and Bob on the satellite, which initially share an entangled state, and some open problems, which emerge during quantum steering that Alice remotely steers Bob, are investigated. Our analytical results indicate that all entangled pure states and maximally entangled evolution states (EESs) are steerable, and not every entangled evolution state is steerable and some steerable states are only locally correlated. Besides, quantum steering from Alice to Bob experiences a "sudden death" with increasing decoherence strength. However, shortly after that, quantum steering experiences a recovery with the increase of decoherence strength in bit flip (BF) and phase flip (PF) channels. Interestingly, while they initially share an entangled pure state, all EESs are steerable and obey Bell nonlocality in PF and phase damping channels. In BF channels, all steerable states can violate Bell-CHSH inequality, but some EESs are unable to be employed to realize steering. However, when they initially share an entangled mixed state, the outcome is different from that of the pure state. Furthermore, the steerability of entangled mixed states is weaker than that of entangled pure states. Thereby, decoherence can induce the degradation of quantum steering, and the steerability of state is associated with the interaction between quantum systems and reservoirs.

17 pages, 4 figures and 3 tables

References in corpus (10)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• Quantification of Gaussian quantum steering
• Experimental investigation of the dynamics of entanglement: Sudden death, complementarity, and continuous monitoring of the environment
• Genuinely Multipartite Concurrence of N-qubit X-matrices
• Classifying directional Gaussian quantum entanglement, EPR steering and discord
• Two-qubit mixed states more entangled than pure states: Comparison of the relative entropy of entanglement for a given nonlocality
• Geometric Bell-like inequalities for steering
• Effect of Local Channels on Quantum Steering Ellipsoids

Cited by in corpus (13)

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• Nonlocal quantum correlations under amplitude damping decoherence
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• A simple analytical expression of quantum Fisher and Skew information and their dynamics under decoherence channels
• Experimental hierarchy of two-qubit quantum correlations without state tomography
• Quantum Information Resources in Spin-1 Heisenberg Dimer Systems
• Recovering the lost steerability of quantum states within non-Markovian environments by utilizing quantum partially collapsing measurements
• Sharing quantum steering among multiple Alices and Bobs via a two-qubit Werner state
• Does conditional entropy squeezing indicate normalized entropic uncertainty relation steering?
• Identifying Quantum Correlations Using Explicit SO(3) to SU(2) Maps
• Genuine three qubit Einstein-Podolsky-Rosen steering under decoherence: Revealing hidden genuine steerability via pre-processing
• Effect of Weak Measurement Reversal on Quantum Correlations in a Correlated Amplitude Damping Channel, with a Neural Network Perspective
• Asymmetric steerability of quantum equilibrium and nonequilibrium steady states through entanglement detection