Representing expectation values of projectors as series for evolution reconstruction

Representing expectation values of projectors as series for evolution reconstruction We propose a Hamiltonian-independent approach for evolution reconstruction, which reconstructs the density operator of an evolving quantum system on the basis of recovering its time-varying expectation values of projectors. We represent band-limited expectation values of projectors as series, in which the coefficient of each term is a sum of an infinite set of measurement results. Both of the series for multiple measurement records and for a single record are given. We demonstrate using them to recover an expectation value and reconstruct the density operator of an evolving two-dimensional quantum system. The theoretical and simulative results prove that the two series are effective when performing a small number of measurements. Our approach is applicable to any quantum system of countable dimensions with arbitrary Hamiltonian. Quantum Information Processing Springer Journals

Representing expectation values of projectors as series for evolution reconstruction

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Springer US
Copyright © 2016 by Springer Science+Business Media New York
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
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