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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Nature Portfolio
2017
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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) |
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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 |
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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 |
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_version_ |
1718394862517092352 |