State determination: an iterative algorithm

Details State determination: an iterative algorithm State determination: an iterative algorithm

2007-12-24

arxiv.org/abs/0712.4018v1

Phys. Rev. A 77, 042116 (2008).

Physics

Quantum Physics

11 pages 3 figures

Scientific paper

10.1103/PhysRevA.77.042116

An iterative algorithm for state determination is presented that uses as physical input the probability distributions for the eigenvalues of two or more observables in an unknown state $\Phi$. Starting form an arbitrary state $\Psi_{0}$, a succession of states $\Psi_{n}$ is obtained that converges to $\Phi$ or to a Pauli partner. This algorithm for state reconstruction is efficient and robust as is seen in the numerical tests presented and is a useful tool not only for state determination but also for the study of Pauli partners. Its main ingredient is the Physical Imposition Operator that changes any state to have the same physical properties, with respect to an observable, of another state.

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