Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits
arXiv:1503.01583 · doi:10.1016/j.physleta.2015.03.023
Abstract
Design of a large-scale quantum computer has paramount importance for science and technologies. We investigate a scheme for realization of quantum algorithms using noncomposite quantum systems, i.e., systems without subsystems. In this framework, artificially allocated "subsystems" play a role of qubits in -qubits quantum algorithms. With focus on two-qubit quantum algorithms, we demonstrate a realization of the universal set of gates using a single qudit state. Manipulation for an ancillary level in the systems allows effective implementation of operators from group via operators from group. Using a possible experimental realization of such systems through anharmonic superconducting many-level quantum circuits, we present a blueprint for a single qudit realization of the Deutsch algorithm, which generalizes previously studied realization based on the virtual spin representation [A.R. Kessel et al., Phys. Rev. A 66, 062322 (2002)].
6 pages, 4 figures, 1 table; published version
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