Physics – Quantum Physics
Scientific paper
1997-01-09
Quantum Semiclass. Opt. 9 (1997) 929
Physics
Quantum Physics
16 pages, LaTeX, 9 postscript figures included
Scientific paper
10.1088/1355-5111/9/6/006
We study both systematic and statistical errors in radiation density matrix measurements. First we estimate the minimum number of scanning phases needed to reduce systematic errors below a fixed threshold. Then, we calculate the statistical errors, intrinsic in the procedure that gives the density matrix. We present a detailed study of such errors versus the detectors quantum efficiency $\eta$ and the matrix indexes in the number representation, for different radiation states. For unit quantum efficiency, and for both coherent and squeezed states, the statistical errors of the diagonal matrix elements saturate for large n. On the contrary, off-diagonal errors increase with the distance from the diagonal. For non unit quantum efficiency the statistical errors along the diagonal do not saturate, and increase dramatically versus both $1-\eta$ and the matrix indexes.
D'Ariano Giacomo M.
Macchiavello Chiara
Sterpi N.
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