通过可逆计算与开放系统重置的数字量子格子玻尔兹曼演化
Digital quantum lattice Boltzmann evolution by reversible compute and open-system reset
AI总结：
提出一种数字量子格子玻尔兹曼算法，通过可逆计算与开放系统重置实现非线性耗散流体模拟，在D3Q19湍流测试中与经典模拟统计一致。
AI中文摘要：
湍流流体模拟计算需求极高，因为非线性相互作用耦合了广泛的尺度范围。量子计算提供了另一种计算模型，但流体演化是非线性和耗散的，而封闭的门控量子动力学是线性和可逆的。格子玻尔兹曼方法（LBM）是一个有吸引力的离散目标，因为流动是局部的置换，但传统的碰撞重构了非线性平衡并施加耗散松弛。我们提出了一种数字量子格子玻尔兹曼（QLBM）算法，该算法将非线性时间步长保持在计算基寄存器中。每一步将更新的粒子分布写入干净的目标准备区，取消计算工作空间，并重置过时的源。由此产生的通道是完全正且保迹的（CPTP），无需中间测量即可组合，并适用于任何可以在干净准备区中可逆求值的格子玻尔兹曼模板。在雷诺数15000下，对强迫D3Q19均匀各向同性湍流进行直接数值模拟（DNS）和Smagorinsky大涡模拟（LES），超过一百万步格子步长，结果显示质量、能量预算、谱和间歇性方面具有统计一致性。三维计算使用数字寄存器模拟器来模拟电路。一个单独的D2Q9实现将相同的合约编译为可逆门，并与其整数孪生版本在比特级别完全一致。双准备区存储和串行格子深度限制了近期可行性。
英文摘要：
Turbulent fluid simulation is computationally demanding because nonlinear interactions couple a wide range of scales. Quantum computing offers another computational model, but fluid evolution is nonlinear and dissipative whereas closed gate-based dynamics is linear and reversible. The lattice Boltzmann method (LBM) is an attractive discrete target because streaming is a local permutation, yet conventional collision reconstructs a nonlinear equilibrium and applies dissipative relaxation. We present a digital quantum lattice Boltzmann (QLBM) algorithm that keeps that nonlinear timestep in computational-basis registers. Each step writes the updated populations into a clean destination bank, uncomputes the workspace, and resets the obsolete source. The resulting channel is completely positive and trace preserving (CPTP), composes without intermediate measurement, and applies to any lattice Boltzmann stencil that can be evaluated reversibly into a clean bank. Forced D3Q19 homogeneous isotropic turbulence, in direct numerical simulation (DNS) and Smagorinsky large-eddy simulation (LES) at Reynolds number 15000 over one million lattice steps, shows statistical agreement in mass, energy budgets, spectra, and intermittency. The three-dimensional calculations use a digital-register emulator of the circuit. A separate D2Q9 implementation compiles the same contract to reversible gates and agrees bit-exactly with its integer twin. Two-bank storage and serial lattice depth limit near-term feasibility.
