Implementation of refined Deutsch–Jozsa algorithm in a superconducting qutrit system

Abstract

Superconducting quantum circuits are promising candidates for realizing quantum computation due to their intrinsic scalability. Here, we report the implementation of the refined Deutsch–Jozsa algorithm in a 3D superconducting transmon qutrit system. Such 3D superconducting systems usually preserve a relatively long coherence time. A qutrit can take advantage of the third level of a superconducting artificial atom and extends the Hilbert space. Compared with the two‐qubit system used for realizing Deutsch–Jozsa algorithm, the employment of qutrit simplifies the hardware design. This simplification and the intrinsic long coherence time jointly lead to a higher fidelity than in previous transmon implementation [DiCarlo et al., Nature 460 (7252), 240–244 (2009)].

Demonstration of quantum permutation parity determine algorithm in a superconducting qutrit

“…However, it is well known that a single superconducting transmon actually possesses multiple energy levels and can be treated as an artificial atom. A multi-level system, which corresponds to a large Hilbert space, can not only be used to design a Hamiltonian for quantum simulations, [19,20] but also store or encode more quantum information, [21][22][23][24][25] so that it can perform a much more complicated quantum algorithm than a qubit. In this paper, we demonstrate the permutation algorithm in a superconducting 3D transmon qutrit, which is the simplest case to show the computational speed-up.…”