Quantum temporal steering in a dephasing channel with quantum criticality

Abstract

We investigate the quantum temporal steering (TS), i.e., a temporal analogue of Einstein-Podolsky-Rosen steering, in a dephasing channel which is modeled by a central spin half surrounded by a spin-1/2 \textit{XY} chain where quantum phase transition happens. The TS parameter $S_{\text{TS}}$ and the TS weight $W_{\text{TS}}$ are employed to characterize the TS dynamics. We analytically obtain the dependence of $S_{\text{TS}}$ on the decoherence factor. The numerical results show an obvious suppression of $S_{\text{TS}}$ and $W_{\text{TS}}$ when the \textit{XY} chain approaches to the critical point. In view of the significance of quantum channel, we develop a new concept, \textit{TS weight power}, in order to quantify the capacity of the quantum channel in dominating TS behavior. This new quantity enables us to indicate the quantum criticality of the environment by the quantum correlation of TS in the coupled system.

10 pages, 5 figures

References in corpus (17)

• Device-independent security of quantum cryptography against collective attacks
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Experimental criteria for steering and the Einstein-Podolsky-Rosen paradox
• Entanglement, EPR-correlations, Bell-nonlocality, and Steering
• Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
• Quantification of Gaussian quantum steering
• Joint measurability of generalized measurements implies classicality
• Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
• Classifying directional Gaussian quantum entanglement, EPR steering and discord
• Disentanglement in a quantum critical environment
• Detection of quantum critical points by a probe qubit
• Disentanglement of two qubits coupled to an XY spin chain: Role of quantum phase transition
• Sudden vanishing and reappearance of nonclassical effects: General occurrence of finite-time decays and periodic vanishings of nonclassicality and entanglement witnesses
• Temporal Steering in Four Dimensions with applications to coupled qubits and magnetoreception
• Spatio-Temporal Steering for Testing Nonclassical Correlations in Quantum Networks
• Induced Entanglement Enhanced by Quantum Criticality
• Joint Measurability and Temporal Steering

Cited by in corpus (1)

• Quantum steering as a witness of quantum scrambling