Reconstruction of SU(1,1) states

Agarwal, G. S. ; Banerji, J. (2001) Reconstruction of SU(1,1) states Physical Review A, 64 (2). 023815_1-023815_7. ISSN 1050-2947

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We show how group symmetries can be used to reconstruct quantum states. The method we propose is presented in the context of the two-mode SU(1,1) states of the radiation field. In our scheme for SU(1,1) states, the input field passes through a nondegenerate 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 the least-squares method after singular value decomposition of the design matrix followed by Tikhonov regularization. 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.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:78368
Deposited On:19 Jan 2012 12:19
Last Modified:18 May 2016 21:12

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