Constraint relation between steerability and concurrence for two-qubit states

• URL: http://arxiv.org/abs/2007.10808v1
• Date: Sat, 18 Jul 2020 05:29:44 GMT
• Title: Constraint relation between steerability and concurrence for two-qubit states
• Authors: Xiao-Gang Fan, Huan Yang, Fei Ming, Zhi-Yong Ding, Dong Wang, and Liu Ye
• Abstract summary: Entanglement and steering are used to describe quantum inseparabilities. A natural question arises concerning how much territory steerability occupies entanglement for a general two-qubit entangled state. We investigate the constraint relation between steerability and concurrence by using two kinds of evolutionary states and randomly generated two-qubit states.
• Score: 6.687934752525343
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement and steering are used to describe quantum inseparabilities. Steerable states form a strict subset of entangled states. A natural question arises concerning how much territory steerability occupies entanglement for a general two-qubit entangled state. In this work, we investigate the constraint relation between steerability and concurrence by using two kinds of evolutionary states and randomly generated two-qubit states. By combining the theoretical and numerical proofs, we obtain the upper and lower boundaries of steerability. And the lower boundary can be used as a sufficient criterion for steering detection. Futhermore, we consider a special kind of mixed state transformed by performing an arbitrary unitary operation on Werner-like state, and propose a sufficient steering criterion described by concurrence and purity.

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