By Takanori Sugiyama
In this thesis, the writer explains the historical past of difficulties in quantum estimation, the required stipulations required for estimation precision benchmarks which are appropriate and significant for comparing info in quantum details experiments, and offers examples of such benchmarks.
The writer develops mathematical equipment in quantum estimation conception and analyzes the benchmarks in exams of Bell-type correlation and quantum tomography with these equipment. particularly, a suite of specific formulae for comparing the estimation precision in quantum tomography with finite info units is derived, not like the normal quantum estimation thought, that may deal basically with limitless samples. this is often the 1st outcome without delay appropriate to the evaluate of estimation error in quantum tomography experiments, permitting experimentalists to assure estimation precision and ensure quantitatively that their practise is reliable.
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Finite Sample Analysis in Quantum Estimation (Springer Theses) by Takanori Sugiyama