تقرير
Efficient 2-designs from bases exist
| العنوان: | Efficient 2-designs from bases exist |
|---|---|
| المؤلفون: | McConnell, Gary, Gross, David |
| المصدر: | Quantum Inf. Comput. 8, 734 (2008) |
| سنة النشر: | 2007 |
| المجموعة: | Quantum Physics |
| مصطلحات موضوعية: | Quantum Physics |
| الوصف: | We show that in a complex d-dimensional vector space, one can find O(d) bases whose elements form a 2-design. Such vector sets generalize the notion of a maximal collection of mutually unbiased bases (MUBs). MUBs have manifold applications in quantum information theory (e.g. in state tomography, cloning, or cryptography) -- however it is suspected that maximal sets exist only in prime-power dimensions. Our construction offers an efficient alternative for general dimensions. The findings are based on a framework recently established in [A. Roy and A. Scott, J. Math. Phys. 48, 072110 (2007)], which reduces the construction of such bases to the combinatorial problem of finding certain highly nonlinear functions between abelian groups. Comment: 5 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/0710.1502 |
| رقم الأكسشن: | edsarx.0710.1502 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |