تقرير
Unsharp measurements, joint measurability and classical distributions for some qudits
| العنوان: | Unsharp measurements, joint measurability and classical distributions for some qudits |
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| المؤلفون: | Rao, H S Smitha, Sirsi, Swarnamala, Bharath, Karthik |
| سنة النشر: | 2020 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | Classicality associated with joint measurability of operators manifests through a valid classical joint probability distribution on measurement outcomes. For qudits in dimension $n$, where $n$ is prime or power of prime, we present a method to construct unsharp versions of projective measurement operators which results in a geometric description of the set of quantum states for which the operators engender a classical joint probability distribution, and are jointly measurable. Specifically, within the setting of a generalised Bloch sphere in $n^2-1$ dimensions, we establish that the constructed operators are jointly measurable for states given by a family of concentric spheres inscribed within a regular polyhedron, which represents states that lead to classical probability distributions. Our construction establishes a novel perspective on links between joint measurability and optimal measurement strategies associated with Mutually Unbiased Bases (MUBs), and formulates a necessary condition for the long-standing open problem of existence of MUBs in dimension $n=6$. Comment: 5 pages, 1 figure |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2004.05547 |
| رقم الأكسشن: | edsarx.2004.05547 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |