Measurements of Entropic Uncertainty Relations in Neutron Optics
The emergence of the uncertainty principle has celebrated its 90th anniversary recently. For this occasion, the latest experimental results of uncertainty relations quantified in terms of Shannon entropies are presented, concentrating only on outcomes in neutron optics. The focus is on the type of m...
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-02-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/10/3/1087 |
| _version_ | 1819147590804963328 |
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| author | Bülent Demirel Stephan Sponar Yuji Hasegawa |
| author_facet | Bülent Demirel Stephan Sponar Yuji Hasegawa |
| author_sort | Bülent Demirel |
| collection | DOAJ |
| description | The emergence of the uncertainty principle has celebrated its 90th anniversary recently. For this occasion, the latest experimental results of uncertainty relations quantified in terms of Shannon entropies are presented, concentrating only on outcomes in neutron optics. The focus is on the type of measurement uncertainties that describe the inability to obtain the respective individual results from joint measurement statistics. For this purpose, the neutron spin of two non-commuting directions is analyzed. Two sub-categories of measurement uncertainty relations are considered: noise−noise and noise−disturbance uncertainty relations. In the first case, it will be shown that the lowest boundary can be obtained and the uncertainty relations be saturated by implementing a simple positive operator-valued measure (POVM). For the second category, an analysis for projective measurements is made and error correction procedures are presented. |
| first_indexed | 2024-12-22T13:32:15Z |
| format | Article |
| id | doaj.art-f094d0b8ea9a4f44aacc2bcf379fcf27 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-12-22T13:32:15Z |
| publishDate | 2020-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-f094d0b8ea9a4f44aacc2bcf379fcf272022-12-21T18:24:10ZengMDPI AGApplied Sciences2076-34172020-02-01103108710.3390/app10031087app10031087Measurements of Entropic Uncertainty Relations in Neutron OpticsBülent Demirel0Stephan Sponar1Yuji Hasegawa2Institute for Functional Matter and Quantum Technologies, University of Stuttgart, 70569 Stuttgart, GermanyAtominstitut, Vienna University of Technology, A-1020 Vienna, AustriaAtominstitut, Vienna University of Technology, A-1020 Vienna, AustriaThe emergence of the uncertainty principle has celebrated its 90th anniversary recently. For this occasion, the latest experimental results of uncertainty relations quantified in terms of Shannon entropies are presented, concentrating only on outcomes in neutron optics. The focus is on the type of measurement uncertainties that describe the inability to obtain the respective individual results from joint measurement statistics. For this purpose, the neutron spin of two non-commuting directions is analyzed. Two sub-categories of measurement uncertainty relations are considered: noise−noise and noise−disturbance uncertainty relations. In the first case, it will be shown that the lowest boundary can be obtained and the uncertainty relations be saturated by implementing a simple positive operator-valued measure (POVM). For the second category, an analysis for projective measurements is made and error correction procedures are presented.https://www.mdpi.com/2076-3417/10/3/1087uncertainty relationjoint measurabilityquantum information theoryshannon entropynoise and disturbancefoundations of quantum measurementneutron optics |
| spellingShingle | Bülent Demirel Stephan Sponar Yuji Hasegawa Measurements of Entropic Uncertainty Relations in Neutron Optics Applied Sciences uncertainty relation joint measurability quantum information theory shannon entropy noise and disturbance foundations of quantum measurement neutron optics |
| title | Measurements of Entropic Uncertainty Relations in Neutron Optics |
| title_full | Measurements of Entropic Uncertainty Relations in Neutron Optics |
| title_fullStr | Measurements of Entropic Uncertainty Relations in Neutron Optics |
| title_full_unstemmed | Measurements of Entropic Uncertainty Relations in Neutron Optics |
| title_short | Measurements of Entropic Uncertainty Relations in Neutron Optics |
| title_sort | measurements of entropic uncertainty relations in neutron optics |
| topic | uncertainty relation joint measurability quantum information theory shannon entropy noise and disturbance foundations of quantum measurement neutron optics |
| url | https://www.mdpi.com/2076-3417/10/3/1087 |
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