Physics 4999E Final: 08

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Cs 766/qic 820 theory of quantum information (fall 2011) Lecture 8: semide nite programs for delity and optimal measurements. This lecture is devoted to two examples of semide nite programs: one is for the delity between two positive semide nite operators, and the other is for optimal measurements for distinguishing ensembles of states. The primary goal in studying these examples at this point in the course is to gain familiarity with the concept of semide nite programming and how it may be applied to problems of interest. The examples themselves are interesting, but they should not necessarily be viewed as primary reasons for studying semide nite programming they are simply examples making use of concepts we have discussed thus far in the course. We will see further applications of semide nite programming to quantum information theory later in the course, and there are many more applications that we will not discuss. 8. 1 a semide nite program for the delity function.