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

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...

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Detalles Bibliográficos
Autores principales: Xing, Jian, Zhang, Yu-Ran, Liu, Shang, Chang, Yan-Chun, Yue, Jie-Dong, Fan, Heng, Pan, Xin-Yu
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2017
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5451481/
https://www.ncbi.nlm.nih.gov/pubmed/28566731
http://dx.doi.org/10.1038/s41598-017-02424-6
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author Xing, Jian
Zhang, Yu-Ran
Liu, Shang
Chang, Yan-Chun
Yue, Jie-Dong
Fan, Heng
Pan, Xin-Yu
author_facet Xing, Jian
Zhang, Yu-Ran
Liu, Shang
Chang, Yan-Chun
Yue, Jie-Dong
Fan, Heng
Pan, Xin-Yu
author_sort Xing, Jian
collection PubMed
description 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.
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spelling pubmed-54514812017-06-02 Experimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond Xing, Jian Zhang, Yu-Ran Liu, Shang Chang, Yan-Chun Yue, Jie-Dong Fan, Heng Pan, Xin-Yu Sci Rep Article 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. Nature Publishing Group UK 2017-05-31 /pmc/articles/PMC5451481/ /pubmed/28566731 http://dx.doi.org/10.1038/s41598-017-02424-6 Text en © The Author(s) 2017 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
spellingShingle Article
Xing, Jian
Zhang, Yu-Ran
Liu, Shang
Chang, Yan-Chun
Yue, Jie-Dong
Fan, Heng
Pan, Xin-Yu
Experimental investigation of quantum entropic uncertainty relations for multiple measurements in pure diamond
title 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_short 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
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5451481/
https://www.ncbi.nlm.nih.gov/pubmed/28566731
http://dx.doi.org/10.1038/s41598-017-02424-6
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