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arXiv · 1503.01583

Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits

E. O. Kiktenko·A. K. Fedorov·A. A. Strakhov·V. I. Man'ko
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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, $n$ artificially allocated "subsystems" play a role of qubits in $n$-qubits quantum algorithms. With focus on two-qubit quantum algorithms, we demonstrate a realization of the universal set of gates using a $d=5$ single qudit state. Manipulation for an ancillary level in the systems allows effective implementation of operators from ${\rm U}(4)$ group via operators from ${\rm SU}(5)$ 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)].

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E. O. Kiktenko, A. K. Fedorov, A. A. Strakhov, V. I. Man'ko. 2015-04-05. Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits. https://doi.org/10.1016/j.physleta.2015.03.023

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