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
Published: Sep 28, 2016
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