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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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) |
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quantum steering uncertainty relation Werner states Bell diagonal states quantum detection Applied optics. Photonics TA1501-1820 |
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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 |
_version_ |
1718410792489975808 |