کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9514635 | 1632611 | 2005 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solution to the Mean King's Problem in Prime Power Dimensions Using Discrete Tomography
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
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چکیده انگلیسی
We solve a state reconstruction problem which arises in quantum information and which generalizes a problem introduced by Vaidman, Aharonov, and Albert in 1987. The task is to correctly predict the outcome of a measurement which an experimenter performed secretly in a lab. Using tomographic reconstruction based on summation over lines in an affine geometry, we show that this is possible whenever the measurements form a maximal set of mutually unbiased bases. Using a different approach we show that if the dimension of the system is large, the measurement result as well as the secretly chosen measurement basis can be inferred with high probability. This can be achieved even when the meanspirited King is unwilling to reveal the measurement basis at any point in time.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Electronic Notes in Discrete Mathematics - Volume 20, 1 July 2005, Pages 165-177
Journal: Electronic Notes in Discrete Mathematics - Volume 20, 1 July 2005, Pages 165-177
نویسندگان
Andreas Klappenecker, Martin Rötteler,