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- W2151679571 abstract "Any rule for identifying a quantum system's state within a set of two non-orthogonal pure states by a single measurement is flawed. It has a non-zero probability of either yielding the wrong result or leaving the query undecided. This also holds if the measurement of an observable $A$ is repeated on a finite sample of $n$ state copies. We formulate a state identification rule for such a sample. This rule's probability of giving the wrong result turns out to be bounded from above by $1/ndelta_{A}^{2}$ with $delta_{A}=| _{1}- _{2}|/(Delta_{1}A+Delta_{2}A).$ A larger $delta_{A}$ results in a smaller upper bound. Yet, according to Fleming, $delta_{A}$ cannot exceed $tantheta$ with $thetain(0,pi/2) $ being the angle between the pure states under consideration. We demonstrate that there exist observables $A$ which reach the bound $tantheta$ and we determine all of them." @default.
- W2151679571 created "2016-06-24" @default.
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- W2151679571 date "2012-04-13" @default.
- W2151679571 modified "2023-09-27" @default.
- W2151679571 title "Reaching Fleming's dicrimination bound" @default.
- W2151679571 hasPublicationYear "2012" @default.
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