Tight qubit uncertainty relations studied through weak values in neutron interferometry
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866910015897468928 |
|---|---|
| author | Dvorak, Andreas Masiello, Ismaele V. Hasegawa, Yuji Lemmel, Hartmut Hofmann, Holger F. Sponar, Stephan |
| author_facet | Dvorak, Andreas Masiello, Ismaele V. Hasegawa, Yuji Lemmel, Hartmut Hofmann, Holger F. Sponar, Stephan |
| contents | In its original formulation, Heisenberg's uncertainty principle describes a trade-off relation between the error of a quantum measurement and the thereby induced disturbance on the measured object. However, this relation is not valid in general. An alternative universally valid relation was derived by Ozawa in 2003, defining error and disturbance in a general concept, experimentally accessible via a tomographic method. Later, it was shown by Hall that these errors correspond to the statistical deviation between a physical property and its estimate. Recently, it was discovered that these errors can be observed experimentally when weak values are determined through a procedure named "feedback compensation". Here, we apply this procedure for the complete experimental characterization of the error-disturbance relation between a which-way observable in an interferometer and another observable associated with the output of the interferometer, confirming the theoretically predicted relation. As expected for pure states, the uncertainty is tightly fulfilled. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_22221 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tight qubit uncertainty relations studied through weak values in neutron interferometry Dvorak, Andreas Masiello, Ismaele V. Hasegawa, Yuji Lemmel, Hartmut Hofmann, Holger F. Sponar, Stephan Quantum Physics In its original formulation, Heisenberg's uncertainty principle describes a trade-off relation between the error of a quantum measurement and the thereby induced disturbance on the measured object. However, this relation is not valid in general. An alternative universally valid relation was derived by Ozawa in 2003, defining error and disturbance in a general concept, experimentally accessible via a tomographic method. Later, it was shown by Hall that these errors correspond to the statistical deviation between a physical property and its estimate. Recently, it was discovered that these errors can be observed experimentally when weak values are determined through a procedure named "feedback compensation". Here, we apply this procedure for the complete experimental characterization of the error-disturbance relation between a which-way observable in an interferometer and another observable associated with the output of the interferometer, confirming the theoretically predicted relation. As expected for pure states, the uncertainty is tightly fulfilled. |
| title | Tight qubit uncertainty relations studied through weak values in neutron interferometry |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2505.22221 |