Estimation of unitary quantum operations

Details Estimation of unitary quantum operations Estimation of unitary quantum operations

2003-05-19

arxiv.org/abs/quant-ph/0305104v3

Phys. Rev. A 69, 022303 (2004)

Physics

Quantum Physics

6 pages. Revised version. Typos corrected. Some discussion added. Reference fixed

Scientific paper

10.1103/PhysRevA.69.022303

The problem of optimally estimating an unknown unitary quantum operation with the aid of entanglement is addressed. The idea is to prepare an entangled pair, apply the unknown unitary to one of the two parts and then measure the joint output state. This measurement could be an entangled one or it could be separable (e.g., LOCC). A comparison is made between these possibilities and it is shown that by using non-separable measurements one can improve the accuracy of the estimation by a factor of $2(d+1)/d$ where $d$ is the dimension of the Hilbert space on which $U$ acts.

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