A quantum computer is not necessarily alone, e.g., thousands and millions of quantum computers are simultaneously working together for adiabatic quantum computers based on nuclear spins. Long-range interaction is inevitable between these nuclear spin qubits. Here we investigate the effect of long-range dipolar interaction between different adiabatic quantum computers. Our analytical and numerical results show that the dipolar interaction can enhance the final fidelity in adiabatic quantum computation for solving the factorization problem, when the overall interaction is negative. The enhancement will become more prominent if a single quantum computer encounters an extremely small energy gap which occurs more likely for larger-size systems.

量子计算机不一定是单独的，例如，成千上万的量子计算机同时为基于核自旋的绝热量子计算机工作。这些核自旋量子位之间的远程相互作用是不可避免的。在这里，我们研究了不同绝热量子计算机之间长程偶极相互作用的影响。我们的分析和数值结果表明，当整体相互作用为负时，偶极相互作用可以提高绝热量子计算中解决因式分解问题的最终保真度。如果单个量子计算机遇到极小的能隙，这种增强将变得更加突出，这种情况更可能发生在较大尺寸的系统中。