量子龙的训练
Training Quantum Dragons
AI总结：
该研究将非平衡格林函数（NEGF）散射问题转化为线性方程组，应用Harrow–Hassidim–Lloyd等算法在IBM量子处理器上实现量子龙纳米器件透射系数计算，证明了量子计算在纳米电子输运模拟中的可行性。
AI中文摘要：
非平衡格林函数（NEGF）是纳米尺度电子输运的标准形式体系。通过将NEGF散射问题重铸为线性方程组，其解编码了透射与反射振幅，我们提出了首个NEGF的量子计算机实现方案。我们应用Harrow–Hassidim–Lloyd算法与变分量子线性求解器算法，在单带紧束缚模型中计算量子龙纳米器件的透射系数$T(E)$。量子龙器件无论内部存在何种无序，都能在整个导带实现完美透射。该问题对应2位点和6位点量子龙器件，分别需要3个和4个物理量子比特的紧凑电路。相似变换对NEGF线性系统进行块对角化，减少了块编码矩阵的泡利分解量。我们通过在IBM物理量子处理器上开展理想模拟与噪声感知模拟及计算，证明了量子计算的可行性。
英文摘要：
The Non-Equilibrium Green's Function (NEGF) is the standard formalism for nano-scale electron transport. By recasting the NEGF scattering problem as a linear system of equations whose solution encodes the transmission and reflection amplitudes, we present the first quantum computerized implementation of NEGF. We apply both the Harrow--Hassidim--Lloyd and Variational Quantum Linear Solver algorithms to compute the transmission coefficient $T(E)$ of quantum dragon nanodevices within the single-band tight-binding model. Quantum dragon devices exhibit perfect transmission across the full conducting band regardless of internal disorder. The problem maps onto compact circuits of 3 and 4 total physical qubits for the 2-site and 6-site dragon devices, respectively. A similarity transformation block-diagonalizes the NEGF linear system reducing the Pauli decomposition of the block-encoded matrix. We demonstrate the feasibility of quantum computation by performing ideal and noise-aware simulations and computations on physical IBM quantum processor.
