Optimal scheme for estimating a pure qubit state via local measurements

Physics – Quantum Physics

Scientific paper

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Version to appear in PRL (minor changes, title changed)

Scientific paper

10.1103/PhysRevLett.89.277904

We present the optimal scheme for estimating a pure qubit state by means of
local measurements on N identical copies. We give explicit examples for low N.
For large N, we show that the fidelity saturates the collective measurement
bound up to order 1/N. When the signal state lays on a meridian of the Bloch
sphere, we show that this can be achieved without classical communication.

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