Experimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond

Abstract One unique feature of quantum mechanics is the Heisenberg uncertainty principle, which states that the outcomes of two incompatible measurements cannot simultaneously achieve arbitrary precision. In an information-theoretic context of quantum information, the uncertainty principle can be fo...

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Autores principales: Jian Xing, Yu-Ran Zhang, Shang Liu, Yan-Chun Chang, Jie-Dong Yue, Heng Fan, Xin-Yu Pan
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Publicado: Nature Portfolio 2017
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Acceso en línea:https://doaj.org/article/41050dbf265c4273bccf807d4e6cb68d
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spelling oai:doaj.org-article:41050dbf265c4273bccf807d4e6cb68d2021-12-02T11:53:10ZExperimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond10.1038/s41598-017-02424-62045-2322https://doaj.org/article/41050dbf265c4273bccf807d4e6cb68d2017-05-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-02424-6https://doaj.org/toc/2045-2322Abstract One unique feature of quantum mechanics is the Heisenberg uncertainty principle, which states that the outcomes of two incompatible measurements cannot simultaneously achieve arbitrary precision. In an information-theoretic context of quantum information, the uncertainty principle can be formulated as entropic uncertainty relations with two measurements for a quantum bit (qubit) in two-dimensional system. New entropic uncertainty relations are studied for a higher-dimensional quantum state with multiple measurements, and the uncertainty bounds can be tighter than that expected from two measurements settings and cannot result from qubits system with or without a quantum memory. Here we report the first room-temperature experimental testing of the entropic uncertainty relations with three measurements in a natural three-dimensional solid-state system: the nitrogen-vacancy center in pure diamond. The experimental results confirm the entropic uncertainty relations for multiple measurements. Our result represents a more precise demonstrating of the fundamental uncertainty principle of quantum mechanics.Jian XingYu-Ran ZhangShang LiuYan-Chun ChangJie-Dong YueHeng FanXin-Yu PanNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-9 (2017)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Jian Xing
Yu-Ran Zhang
Shang Liu
Yan-Chun Chang
Jie-Dong Yue
Heng Fan
Xin-Yu Pan
Experimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond
description Abstract One unique feature of quantum mechanics is the Heisenberg uncertainty principle, which states that the outcomes of two incompatible measurements cannot simultaneously achieve arbitrary precision. In an information-theoretic context of quantum information, the uncertainty principle can be formulated as entropic uncertainty relations with two measurements for a quantum bit (qubit) in two-dimensional system. New entropic uncertainty relations are studied for a higher-dimensional quantum state with multiple measurements, and the uncertainty bounds can be tighter than that expected from two measurements settings and cannot result from qubits system with or without a quantum memory. Here we report the first room-temperature experimental testing of the entropic uncertainty relations with three measurements in a natural three-dimensional solid-state system: the nitrogen-vacancy center in pure diamond. The experimental results confirm the entropic uncertainty relations for multiple measurements. Our result represents a more precise demonstrating of the fundamental uncertainty principle of quantum mechanics.
format article
author Jian Xing
Yu-Ran Zhang
Shang Liu
Yan-Chun Chang
Jie-Dong Yue
Heng Fan
Xin-Yu Pan
author_facet Jian Xing
Yu-Ran Zhang
Shang Liu
Yan-Chun Chang
Jie-Dong Yue
Heng Fan
Xin-Yu Pan
author_sort Jian Xing
title Experimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond
title_short Experimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond
title_full Experimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond
title_fullStr Experimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond
title_full_unstemmed Experimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond
title_sort experimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond
publisher Nature Portfolio
publishDate 2017
url https://doaj.org/article/41050dbf265c4273bccf807d4e6cb68d
work_keys_str_mv AT jianxing experimentalinvestigationofquantumentropicuncertaintyrelationsformultiplemeasurementsinpurediamond
AT yuranzhang experimentalinvestigationofquantumentropicuncertaintyrelationsformultiplemeasurementsinpurediamond
AT shangliu experimentalinvestigationofquantumentropicuncertaintyrelationsformultiplemeasurementsinpurediamond
AT yanchunchang experimentalinvestigationofquantumentropicuncertaintyrelationsformultiplemeasurementsinpurediamond
AT jiedongyue experimentalinvestigationofquantumentropicuncertaintyrelationsformultiplemeasurementsinpurediamond
AT hengfan experimentalinvestigationofquantumentropicuncertaintyrelationsformultiplemeasurementsinpurediamond
AT xinyupan experimentalinvestigationofquantumentropicuncertaintyrelationsformultiplemeasurementsinpurediamond
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