No abstract

No abstract

Quantum computers are the promising candidates for simulation of large quantum systems, which is a daunting task to perform in a classical computer. Here we report the experimental realization of quantum tunneling of a single particle through different types of potential barriers by simulating it in the IBM quantum computer, which here acts as a universal quantum simulator. We consider two-qubit and three-qubit systems for visualizing the tunneling process illustrating its unique quantum nature. We clearly observe the tunneling and oscillations of the particles in a step potential and in double-and multi-well potentials through our experimental results. The proposed quantum circuits and simulational techniques used here can be extended for observing the tunneling phenomena for multi-particle systems in different shaped potentials.

We factorize a 48-bit integer using 10 trapped-ion qubits on a Quantinuum's quantum computer. This result outperforms the recent achievement by B. Yan et al., arXiv:2212.12372 (2022, increasing the success probability by a factor of 6 with a non-hybrid digitized-counterdiabatic quantum factorization (DCQF) algorithm. We expect better results with hybrid DCQF methods on our path to factoring RSA-64, RSA-128, and RSA-2048 in this NISQ era, where the latter case may need digital-analog quantum computing (DAQC) encoding.

No abstract