تقرير
Null dimension witness based on single measurements
| العنوان: | Null dimension witness based on single measurements |
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| المؤلفون: | Batle, Josep, Bednorz, Adam |
| المصدر: | Phys. Rev. A 108, 062202 (2023) |
| سنة النشر: | 2023 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | We present a null witness of the dimension of a quantum system, discriminating real, complex and classical spaces, based on equality due to linear independence. The witness involves only a single measurement with sufficiently many outcomes and prepared input states. In addition, for intermediate dimensions, the witness bounds saturate for a family of equiangular tight frames including symmetric informationally complete positive operator valued measures. Such a witness requires a minimum of resources, being robust against many practical imperfections. We also discuss errors due to finite statistics. Comment: 6 pages, 1 figure, 1 table |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1103/PhysRevA.108.062202 |
| URL الوصول: | http://arxiv.org/abs/2305.08395 |
| رقم الأكسشن: | edsarx.2305.08395 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1103/PhysRevA.108.062202 |
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