论文标题

用量子计算机计算辐射传输所需的逻辑量子数量的估计数量

Estimation of the number of logical qubits required for radiation transport calculations with a quantum computer

论文作者

Noto, Takuma

论文摘要

作为耐断层量子计算机的应用,我们考虑了本研究中的辐射传输计算。使用蒙特卡洛计算计算的辐射传输计算可以获得解决方案,即使是难以通过分析解决的问题。但是,根据问题的规模和精度,这是耗时的。由于已知蒙特卡洛计算的计算复杂性可以通过量子振幅估计扎根,因此,如果在量子计算机上运行辐射传输计算,则可以预期加速。在这项研究中,我们设计并研究了一个量子电路,以简化反应仅是正向散射或吸收,并且能量和时间不会改变,并且显示了加速的可能性。此外,我们估计了基于量子电路解决实用问题所需的逻辑量子数的数量。

As an application of fault-tolerant quantum computers, we consider radiation transport calculations in this study. Radiation transport calculation using Monte Carlo calculation can obtain a solution to even a problem difficult to solve analytically. However, it is time-consuming depending on the scale and precision of the problem. Because it is known that the computational complexity of Monte Carlo calculation can be square rooted by quantum amplitude estimation, acceleration can be expected if radiation transport calculation is run on a quantum computer. In this study, we designed and investigated a quantum circuit for a simplified transport calculation in which the reaction is only forward scattering or absorption and the energy and time do not change as well as showed the possibility of acceleration the calculation. Further, we estimated the number of logical qubits required to solve practical problems based on the quantum circuit.

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