Numerical simulation of quantum turbulence

Kyo Yoshida, Toshihico Arimitsu

Makoto Tsubota, Kazuya Fujimoto, Satoshi Yui

Narimasa Sasa, Masahiko Machida

Large scale numerical simulation of quantum turbulence is performed by using 3-D time-dependent Gross-Pitaevskii equation.The energy spectrum obeying Kolmogorov law and large scale self-similar structure of quantum vortex tangle are found in a fully developed dumped turbulent state.Width of the inertial range becomes large depending on the system size of the simulation that is consistent with the result of the normal fluid turbulence.On the other hand, bottleneck effect near coherent length prevents the inertial range from extending to smaller scale.

Ionut Danaila, Luminita Danaila, Zhentong Zhang

Abhishek Mani Shukla, Neel Kanth Kundu

In this paper, we investigate the performance of a discrete variable quantum key distribution (DV-QKD) system over a turbulence channel under moderate to strong turbulence conditions. We employ the Gamma-Gamma turbulence model for the turbulence channel and derive analytical expressions for the average quantum bit error rate (QBER) and secrecy key rate (SKR) of the decoy state DV-QKD protocol. Both analytical and numerical simulation results demonstrate that, for the decoy-state QKD protocol, the QBER of the FSO system highly depends on the link length but is largely unaffected by turbulence strength. Furthermore, the numerical simulation results reveal that the SKR remains stable even under stronger turbulence.

Zhaoyuan Meng, Leyu Chen, Jin-Peng Liu +1 more

We propose an end-to-end quantum algorithm to simulate rapidly distorted turbulence via linear combination of Hamiltonian (LCHS). The algorithm comprises three primary stages: the efficient preparation of an initial turbulent state with a prescribed energy spectrum, its subsequent time evolution via LCHS, and the direct measurement of key turbulence statistics. Our analysis indicates that the algorithm can offer a practical quantum speedup over the classical simulation methods for a sufficiently large computational grid. We evaluate the quantum resource requirements for simulating a minimal instance of non-trivial turbulence with classical validation. The numerical results show excellent agreement with ground-truth solutions, capturing both the qualitative evolution of turbulent fields and the quantitative behavior of statistics, including the Reynolds stresses and the fluctuating velocity spectrum. Despite its linearity, rapidly distorted turbulence captures essential turbulence mechanisms and may inform the development of quantum algorithms for the Navier-Stokes equations. Our work establishes a foundation for addressing more complex turbulent phenomena on future fault-tolerant quantum computers.