Optimal phase estimation in quantum networks

Details Optimal phase estimation in quantum networks Optimal phase estimation in quantum networks

2007-06-29

arxiv.org/abs/0706.4412v2

Journal of Physics A: Mathematical and Theoretical, Volume 40, pages 7971-7984 (2007)

Physics

Quantum Physics

9 pages, 2 figures; this is an extended version of arXiv:quant-ph/0609160. v2: minor corrections in references

Scientific paper

10.1088/1751-8113/40/28/S07

We address the problem of estimating the phase phi given N copies of the phase rotation u(phi) within an array of quantum operations in finite dimensions. We first consider the special case where the array consists of an arbitrary input state followed by any arrangement of the N phase rotations, and ending with a POVM. We optimise the POVM for a given input state and fixed arrangement. Then we also optimise the input state for some specific cost functions. In all cases, the optimal POVM is equivalent to a quantum Fourier transform in an appropriate basis. Examples and applications are given.

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