2007/12/24 by Dardo Goyeneche, Dardo M. Goyeneche, Alberto C. de la Torre
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #quant-ph
paper · pdf · doi:10.1103/physreva.77.042116
published as Phys. Rev. A 77, 042116 (2008). · 11 pages 3 figures
arxiv created 2007/12/24 · openalex publication_date 2008/04/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An iterative algorithm for state determination, that uses as physical input the probability distributions for the eigenvalues of two or more observables in an unknown state \ensuremathΦ is presented. Starting from an arbitrary state \ensuremathΨ0, a succession of states \ensuremathΨn is obtained that converges to \ensuremathΦ 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.