Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States

Quantum steering, as a cornerstone of quantum information, is usually used to witness the quantum correlation of bipartite and multi-partite states. Here, we experimentally demonstrate the quantum steering inequality of two-qubit mixed states based on the fine-grained uncertainty relation. Our exper...

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Bibliographic Details
Main Authors: Zhi-Hao Bian, Cong-Yue Yin
Format: article
Language:EN
Published: MDPI AG 2021
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Online Access:https://doaj.org/article/a5abf8053de743c098c35a7f7d858048
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Summary:Quantum steering, as a cornerstone of quantum information, is usually used to witness the quantum correlation of bipartite and multi-partite states. Here, we experimentally demonstrate the quantum steering inequality of two-qubit mixed states based on the fine-grained uncertainty relation. Our experimental results show that the steering inequality has potent sensitivity to Werner states and Bell diagonal states. The steering strategy exhibits a strong ability to identify that Werner states are steerable when the decoherence coefficient <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>a</mi><mo>></mo><mfrac><mn>1</mn><mn>2</mn></mfrac></mrow></semantics></math></inline-formula>. Compared to the steering inequality obtained by another stratagem, the steering witness criteria of mixed states based on the fine-grained uncertainty relation demonstrated in our experiment has better precision and accuracy. Moreover, the detection efficiency in our measurement setup is only required to be <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>50</mn><mo>%</mo></mrow></semantics></math></inline-formula> to close the detection loophole, which means our approach needs less detector efficiency to certificate the steerability of mixed states.