论文标题
使用量子退火激发的状态搜索
Excited state search using quantum annealing
论文作者
论文摘要
量子退火（QA）是搜索哈密顿量问题基态的方法之一。在这里，我们提出了质量保证计划，以搜索哈密顿问题问题的任意激发状态。在我们的计划中，$ n $ th的激动状态最初是准备好了，并绝热地变成了目标哈密顿量的$ n $ th激发状态。尽管我们的计划是一般的，因此我们可以搜索任何激动的状态，但我们特别讨论了本文的第一个激动的状态搜索。作为比较，我们考虑了一种非绝热方案，以找到从基态进行非绝热过渡的第一个激发状态。通过求解Lindblad主方程，我们在反矫正的影响下评估了每个方案的性能。我们的结论是，只要量子位的连贯性时间足够长，绝热方案就表现出比非绝热方案更好的性能。这些结果对于在量子化学，量子模拟和量词后加密术领域的应用非常重要。
Quantum annealing (QA) is one of the ways to search the ground state of the problem Hamiltonian. Here, we propose the QA scheme to search arbitrary excited states of the problem Hamiltonian. In our scheme, an $n$-th excited state of the trivial Hamiltonian is initially prepared and is adiabatically changed into an $n$-th excited state of the target Hamiltonian. Although our scheme is general such that we can search any excited states, we especially discuss the first excited state search in this paper. As a comparison, we consider a non-adiabatic scheme to find the first excited state with non-adiabatic transitions from the ground state. By solving the Lindblad master equation, we evaluate the performance of each scheme under the influence of decoherence. Our conclusion is that the adiabatic scheme show better performance than the non-adiabatic scheme as long as the coherence time of qubits is sufficiently long. These results are important for applications in the area of quantum chemistry, quantum simulation, and post-quantum cryptography.
