论文标题
改进的量子超采样用于量子射线跟踪
Improved Quantum Supersampling for Quantum Ray Tracing
论文作者
论文摘要
射线跟踪算法是渲染算法的类别,可以通过模拟大量射线的物理运动并计算其能量来计算像素的颜色,并可以并行实现。同时,叠加和纠缠属性使量子计算成为平行任务的自然拟合。这是一个有趣的问题,是否可以固有的并行量子计算能够加快固有的并行射线跟踪算法?射线追踪问题可以视为高维数值集成问题。假设使用了$ n $查询,经典的蒙特卡洛方法的错误收敛为$ O(1/\ sqrt {n})$,而量子超级缩放算法可以达到大约$ o(1/n)$的错误收敛。但是,量子超采样的原点形式的输出服从尾巴长的概率分布,在图像上显示出许多独立的异常噪声点。在本文中,我们通过用强大的量子计数方案(基于QFT的自适应贝叶斯相估计)代替量子超采样的基于QFT的相估计来改善量子超采样。我们定量研究和比较不同量子计数方案的性能。最后,我们进行仿真实验,以表明具有改进的量子超级采样的量子射线跟踪确实比经典路径追踪算法以及量子超级采样的原始形式更好。
Ray tracing algorithm is a category of rendering algorithms that calculate the color of pixels by simulating the physical movements of a huge amount of rays and calculating their energies, which can be implemented in parallel. Meanwhile, the superposition and entanglement property make quantum computing a natural fit for parallel tasks.Here comes an interesting question, is the inherently parallel quantum computing able to speed up the inherently parallel ray tracing algorithm? The ray tracing problem can be regarded as a high-dimensional numerical integration problem. Suppose $N$ queries are used, classical Monte Carlo approaches has an error convergence of $O(1/\sqrt{N})$, while the quantum supersampling algorithm can achieve an error convergence of approximately $O(1/N)$. However, the outputs of the origin form of quantum supersampling obeys a probability distribution that has a long tail, which shows up as many detached abnormal noisy dots on images. In this paper, we improve quantum supersampling by replacing the QFT-based phase estimation in quantum supersampling with a robust quantum counting scheme, the QFT-based adaptive Bayesian phase estimation. We quantitatively study and compare the performances of different quantum counting schemes. Finally, we do simulation experiments to show that the quantum ray tracing with improved quantum supersampling does perform better than classical path tracing algorithm as well as the original form of quantum supersampling.