Quantum Computing with Superconducting Circuits in the Picosecond Regime

• DOI: 10.1103/physrevapplied.16.014024
• Publication Date: 2021-07-09T15:24:43Z
• Authors: Daoquan Zhu; Tuomas Jaako; Qiongyi He; Peter Rabl
• Keywords: Transmon; Realization (probability)

We discuss the realization of a universal set ultrafast single- and two-qubit operations with superconducting quantum circuits investigate most relevant physical technical limitations that arise when pushing for faster gates. With help numerical optimization techniques, we establish fundamental bound on minimal gate time, which is determined independently qubit design solely by its nonlinearity. In addition, important practical restrictions from finite transition frequency limited bandwidth control pulses. show highly anharmonic flux qubits commercially available electronics, elementary can be implemented in about 100 picoseconds residual errors below $10^{-4}$. Under same conditions, simulate complete execution compressed version Shor's algorithm factoring number 15 one nanosecond. These results demonstrate compared to state-of-the-art implementations transmon qubits, hundredfold increase speed still feasible.