Academic Journal
Compatibility of quantum measurements and inclusion constants for the matrix jewel
| العنوان: | Compatibility of quantum measurements and inclusion constants for the matrix jewel |
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| المؤلفون: | Bluhm, Andreas, Nechita, Ion |
| المصدر: | Bluhm , A & Nechita , I 2020 , ' Compatibility of quantum measurements and inclusion constants for the matrix jewel ' , SIAM Journal on Applied Algebra and Geometry , vol. 4 , no. 2 , pp. 255-296 . https://doi.org/10.1137/19M123837X |
| سنة النشر: | 2020 |
| المجموعة: | University of Copenhagen: Research / Forskning ved Københavns Universitet |
| مصطلحات موضوعية: | Algebraic convexity, Free spectrahedra, Polytope, Quantum cloning, Quantum measurement, Semidefinite relaxation |
| الوصف: | In this work, we establish the connection between the study of free spectrahedra and the compatibility of quantum measurements with an arbitrary number of outcomes. This generalizes previous results by the authors for measurements with two outcomes. Free spectrahedra arise from matricial relaxations of linear matrix inequalities. A particular free spectrahedron which we define in this work is the matrix jewel. We find that the compatibility of arbitrary measurements corresponds to the inclusion of the matrix jewel into a free spectrahedron defined by the effect operators of the measurements under study. We subsequently use this connection to bound the set of (asymmetric) inclusion constants for the matrix jewel using results from quantum information theory and symmetrization. The latter translate to new lower bounds on the compatibility of quantum measurements. Among the techniques we employ are approximate quantum cloning and mutually unbiased bases. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | application/pdf |
| اللغة: | English |
| DOI: | 10.1137/19M123837X |
| الاتاحة: | https://curis.ku.dk/portal/da/publications/compatibility-of-quantum-measurements-and-inclusion-constants-for-the-matrix-jewel(9c47ef84-069f-4c93-bbab-67d269c8c6c2).html https://doi.org/10.1137/19M123837X https://curis.ku.dk/ws/files/261045459/COMPATIBILITY_OF_QUANTUM_MEASUREMENTS.pdf https://www.mendeley.com/catalogue/801c874a-45ec-361e-9930-3422d49469ac/ |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.B005B24A |
| قاعدة البيانات: | BASE |
| DOI: | 10.1137/19M123837X |
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