| R. Derka, V. Buzek, A.K. Ekert "Universal algorithm for optimal estimation of quantum states from finite ensembles", Phys.Rev.Lett. 80 (1998)1571 (quant-ph/9707028) |
....with the inputs in statistical experiments. It is clear that the state cannot be determined exactly from a sample with finite N , but the determination becomes arbitrarily good in the limit N ##. Optimal estimation observables are known in the case when the inputs are guaranteed to be pure [7], but in the case of general mixed states there are no clear cut theorems yet, partly due to the fact that it is less clear what figure of merit best describes the quality of such an estimator. Given a good estimator we can, of course, proceed to good cloning by just repeating the ....
R. Derka, V. Buzek, A.K. Ekert "Universal algorithm for optimal estimation of quantum states from finite ensembles", Phys.Rev.Lett. 80 (1998)1571 (quant-ph/9707028)
....which take several identically prepared quantum systems as an input, make a measurement, and thereby determine the density matrix describing the preparation to any desired degree of accuracy. This is the problem of quantum state estimation, which has been studied by many authors [Hol,Hel,MP,DBE] Of course, we can use this classical information to prepare many new systems ( clones ) in a state which is a close approximation of the input state. Clearly, the quality of the clones will depend on the number of initially available input systems. On the other hand, there will be no limit to ....
....her choice to be measured on it. This constraint on Alice is in keeping with the definition of the quantum copier, which also imposes only conditions on one output at a time. This one particle test version of the cloning problem has been considered in the qubit case in several recent papers [GM,DBE] It turns out, however, that it is the more difficult problem for d 2. Therefore, in this paper we will give a full analysis of the pure state many particle test cloning problem for arbitrary d. The pure state one particle test version is settled in the d = 2 case [GM] where the ....
R. Derka, V. Buzek, and A.K. Ekert: "Universal algorithm for optimal estimation of quantum states from finite ensembles", Report quant-ph/9707028
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R. Derka, V. Buzek, A.K. Ekert "Universal algorithm for optimal estimation of quantum states from finite ensembles", Phys.Rev.Lett. 80 (1998)1571 (quant-ph/9707028)
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