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Classical and Quantum State Reconstruction


Computer assisted tomography (CAT scan) technique for reconstruction of material density, \rho(x,y), is compared with reconstruction scheme for physical state- the phase space density, \rho(q,p) of our classical system and the Wigner function for the quantum one.  All require the inversion of the Radon transform.  A purely quantum approach based on mutual unbiased bases (MUB) by-passes the Radon transform is also given.

The talk includes accounts of all concepts: State Reconstruction, CAT scan tomography, Wigner function, and MUB and should be palatable to graduate physics students.