Reconstruction of SU(1,1) States

Details Reconstruction of SU(1,1) States Reconstruction of SU(1,1) States

2000-07-17

arxiv.org/abs/quant-ph/0007049v1

Physics

Quantum Physics

8 pages, 5 figures, submitted to PRA

Scientific paper

10.1103/PhysRevA.64.023815

We show how group symmetries can be used to reconstruct quantum states. In our scheme for SU(1,1) states, the input field passes through a non-degenerate parametric amplifier and one measures the probability of finding the output state with a certain number (usually zero) of photons in each mode. The density matrix in the Fock basis is retrieved from the measured data by least squares method after singular value decomposition of the design matrix. Several illustrative examples involving the reconstruction of a pair coherent state, a Perelomov coherent state, and a coherent superposition of pair coherent states are considered.

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