Measurement disturbance and conservation laws in quantum mechanics
Measurement error and disturbance, in the presence of conservation laws, are analysed in general operational terms. We provide novel quantitative bounds demonstrating necessary conditions under which accurate or non-disturbing measurements can be achieved, highlighting an interesting interplay betwe...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-06-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2023-06-05-1033/pdf/ |
| _version_ | 1797810811014479872 |
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| author | M. Hamed Mohammady Takayuki Miyadera Leon Loveridge |
| author_facet | M. Hamed Mohammady Takayuki Miyadera Leon Loveridge |
| author_sort | M. Hamed Mohammady |
| collection | DOAJ |
| description | Measurement error and disturbance, in the presence of conservation laws, are analysed in general operational terms. We provide novel quantitative bounds demonstrating necessary conditions under which accurate or non-disturbing measurements can be achieved, highlighting an interesting interplay between incompatibility, unsharpness, and coherence. From here we obtain a substantial generalisation of the Wigner-Araki-Yanase (WAY) theorem. Our findings are further refined through the analysis of the fixed-point set of the measurement channel, some extra structure of which is characterised here for the first time. |
| first_indexed | 2024-03-13T07:14:21Z |
| format | Article |
| id | doaj.art-d4d816b94bf74a0ca17d9d0075367e9f |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-03-13T07:14:21Z |
| publishDate | 2023-06-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-d4d816b94bf74a0ca17d9d0075367e9f2023-06-05T13:44:46ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-06-017103310.22331/q-2023-06-05-103310.22331/q-2023-06-05-1033Measurement disturbance and conservation laws in quantum mechanicsM. Hamed MohammadyTakayuki MiyaderaLeon LoveridgeMeasurement error and disturbance, in the presence of conservation laws, are analysed in general operational terms. We provide novel quantitative bounds demonstrating necessary conditions under which accurate or non-disturbing measurements can be achieved, highlighting an interesting interplay between incompatibility, unsharpness, and coherence. From here we obtain a substantial generalisation of the Wigner-Araki-Yanase (WAY) theorem. Our findings are further refined through the analysis of the fixed-point set of the measurement channel, some extra structure of which is characterised here for the first time.https://quantum-journal.org/papers/q-2023-06-05-1033/pdf/ |
| spellingShingle | M. Hamed Mohammady Takayuki Miyadera Leon Loveridge Measurement disturbance and conservation laws in quantum mechanics Quantum |
| title | Measurement disturbance and conservation laws in quantum mechanics |
| title_full | Measurement disturbance and conservation laws in quantum mechanics |
| title_fullStr | Measurement disturbance and conservation laws in quantum mechanics |
| title_full_unstemmed | Measurement disturbance and conservation laws in quantum mechanics |
| title_short | Measurement disturbance and conservation laws in quantum mechanics |
| title_sort | measurement disturbance and conservation laws in quantum mechanics |
| url | https://quantum-journal.org/papers/q-2023-06-05-1033/pdf/ |
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