التفاصيل البيبلوغرافية
| العنوان: |
On Constructing Informationally Complete Covariant Positive Operator-Valued Measures |
| المؤلفون: |
Grigori Amosov |
| المصدر: |
Entropy; Volume 25; Issue 5; Pages: 783 |
| بيانات النشر: |
Multidisciplinary Digital Publishing Institute |
| سنة النشر: |
2023 |
| المجموعة: |
MDPI Open Access Publishing |
| مصطلحات موضوعية: |
projective unitary representation of locally compact Abelian group, positive operator-valued measures, informational completeness, the Naimark dilation, coherent states |
| الوصف: |
We study a projective unitary representation of the product G=G˜×G, where G is a locally compact Abelian group and G^ is its dual consisting of characters on G. It is proven that the representation is irreducible, which allows us to define a covariant positive operator-valued measure (covariant POVM) generated by orbits of projective unitary representations of G. The quantum tomography associated with the representation is discussed. It is shown that the integration over such a covariant POVM defines a family of contractions which are multiples of unitary operators from the representation. Using this fact, it is proven that the measure is informationally complete. The obtained results are illustrated by optical tomography on groups and by a measure with a density that has a value in the set of coherent states. |
| نوع الوثيقة: |
text |
| وصف الملف: |
application/pdf |
| اللغة: |
English |
| العلاقة: |
Quantum Information; https://dx.doi.org/10.3390/e25050783Test |
| DOI: |
10.3390/e25050783 |
| الإتاحة: |
https://doi.org/10.3390/e25050783Test |
| حقوق: |
https://creativecommons.org/licenses/by/4.0Test/ |
| رقم الانضمام: |
edsbas.D69508E8 |
| قاعدة البيانات: |
BASE |
