0 Ja n 20 06 Parallel Treatment of Estimation of SU ( 2 ) and Phase Estimation 1 Masahito Hayashi
نویسنده
چکیده
We discuss the accuracy of the estimation of the n identical unknown actions of SU(2) by using entanglement. This problem has a similar structure with the phase estimation problem, which was discussed by Bužek, Derka, and Massar[1]. The estimation error asymptotically decreases to zero with an order of 1 n2 at least.
منابع مشابه
ua nt - p h / 04 07 05 3 v 2 3 1 M ar 2 00 5 Estimation of SU ( 2 ) action by entanglement ‡
Abstract. We discussed the accuracy of the estimation of the n identical unknown actions of SU(2) with quantum entanglement. It is found that this problem has a similar structure with the same estimation problem with the knowledge of the eigenvalue, which was discussed by Bužek, Derka and Massar[1]. By using this relation, it is shown that the estimation error asymptotically goes to 0 with the ...
متن کاملar X iv : m at h / 06 04 19 7 v 2 [ m at h . PR ] 2 1 A pr 2 00 8 Two non - regular extensions of large deviation bound
We formulate two types of extensions of the large deviation theory initiated by Bahadur in a non-regular setting. One can be regarded as a bound of the point estimation, the other can be regarded as the limit of a bound of the interval estimation. Both coincide in the regular case, but do not necessarily coincide in a non-regular case. Using the limits of relative Rényi entropies, we derive the...
متن کاملAsymptotic Quantum Parameter Estimation in Spin 1/2 System
For the precise estimation of the unknown quantum state, the independent samples should be prepared. Can we reduce the error of the estimation by the measurement using the quantum correlation between every sample? In this paper, this question is treated in the parameter estimation for the unknown state.
متن کاملar X iv : m at h / 06 04 19 7 v 1 [ m at h . PR ] 9 A pr 2 00 6 Two non - regular extensions of large deviation bound
We formulate two types of extensions of the large deviation theory initiated by Bahadur in a non-regular setting. One can be regarded as a bound of the point estimation, the other can be regarded as the limit of a bound of the interval estimation. Both coincide in the regular case, but do not necessarily coincide in a non-regular case. Using the limits of relative Rényi entropies, we derive the...
متن کاملAsymptotic estimation theory for a finite dimensional pure state model
The author studies the optimization of measurement for n copies of pure states. The asymptotic efficiency of the optimal measurement is calculated in the large deviation sense.
متن کامل