论文标题

激发态绝热量子计算始于真空状态

Excited-State Adiabatic Quantum Computation Started with Vacuum States

论文作者

Goto, Hayato, Kanao, Taro

论文摘要

绝热量子计算(AQC)对于组合优化特别有用,通过使用激发态而不是基态变得更强大。但是,激发态AQC容易出现由于耗散而出现的错误。在这里,我们提出激发态AQC始于最稳定的状态,即真空状态。通过使用驱动的量子系统或更精确的Kerr-Nonlinear参数振荡器(KPOS)网络,这种违反直觉的方法成为可能。通过数值模拟,我们表明,具有KPO的标准地面AQC无法找到其最佳解决方案的一些硬实例可以通过当前的方法来解决,在这种方法中,非绝热过渡被利用。我们还表明,与使用真正兴奋的(非vaCuum)状态作为初始状态相比,将真空状态用作初始状态的使用导致稳健性抵抗由于耗散而引起的错误。因此,目前的工作为量子计算和驱动量子系统提供了新的可能性。

Adiabatic quantum computation (AQC), which is particularly useful for combinatorial optimization, becomes more powerful by using excited states, instead of ground states. However, the excited-state AQC is prone to errors due to dissipation. Here we propose the excited-state AQC started with the most stable state, i.e., the vacuum state. This counterintuitive approach becomes possible by using a driven quantum system, or more precisely, a network of Kerr-nonlinear parametric oscillators (KPOs). By numerical simulations, we show that some hard instances, where standard ground-state AQC with KPOs fails to find their optimal solutions, can be solved by the present approach, where nonadiabatic transitions are rather utilized. We also show that the use of the vacuum state as an initial state leads to robustness against errors due to dissipation, as expected, compared to the use of a really excited (nonvacuum) state as an initial state. Thus, the present work offers new possibilities for quantum computation and driven quantum systems.

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