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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Autores principales: Zhi-Hao Bian, Cong-Yue Yin
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Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/a5abf8053de743c098c35a7f7d858048
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spelling oai:doaj.org-article:a5abf8053de743c098c35a7f7d8580482021-11-25T18:43:43ZExperimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States10.3390/photonics81105142304-6732https://doaj.org/article/a5abf8053de743c098c35a7f7d8580482021-11-01T00:00:00Zhttps://www.mdpi.com/2304-6732/8/11/514https://doaj.org/toc/2304-6732Quantum 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.Zhi-Hao BianCong-Yue YinMDPI AGarticlequantum steeringuncertainty relationWerner statesBell diagonal statesquantum detectionApplied optics. PhotonicsTA1501-1820ENPhotonics, Vol 8, Iss 514, p 514 (2021)
institution DOAJ
collection DOAJ
language EN
topic quantum steering
uncertainty relation
Werner states
Bell diagonal states
quantum detection
Applied optics. Photonics
TA1501-1820
spellingShingle quantum steering
uncertainty relation
Werner states
Bell diagonal states
quantum detection
Applied optics. Photonics
TA1501-1820
Zhi-Hao Bian
Cong-Yue Yin
Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States
description 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.
format article
author Zhi-Hao Bian
Cong-Yue Yin
author_facet Zhi-Hao Bian
Cong-Yue Yin
author_sort Zhi-Hao Bian
title Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States
title_short Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States
title_full Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States
title_fullStr Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States
title_full_unstemmed Experimental Demonstration of Fine-Grained Steering Inequality of Two-Qubit Mixed States
title_sort experimental demonstration of fine-grained steering inequality of two-qubit mixed states
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/a5abf8053de743c098c35a7f7d858048
work_keys_str_mv AT zhihaobian experimentaldemonstrationoffinegrainedsteeringinequalityoftwoqubitmixedstates
AT congyueyin experimentaldemonstrationoffinegrainedsteeringinequalityoftwoqubitmixedstates
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