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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...
Autores principales: | , , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Nature Publishing Group UK
2017
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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. |
format | Online Article Text |
id | pubmed-5451481 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2017 |
publisher | Nature Publishing Group UK |
record_format | MEDLINE/PubMed |
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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