Capturing non-Markovian dynamics on near-term quantum computers
Capturing non-Markovian dynamics on near-term quantum computers
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DOI：
10.1103/physrevresearch.3.013182
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发表时间：
2020-04
影响因子：
4.2
通讯作者：
Kade Head-Marsden;Stefan Krastanov;D. Mazziotti;P. Narang
中科院分区：
文献类型：
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作者：
Kade Head-Marsden;Stefan Krastanov;D. Mazziotti;P. Narang
随着量子硬件的快速发展，人们对新的量子算法越来越感兴趣，以描述复杂的多体系统，寻找仍然难以实现的“有用的量子交换”目标。令人惊讶的是，用于处理开放量子系统（OQS）的量子算法仍然没有得到充分的探索，部分原因是将非幺正演化映射到幺正门框架中的固有挑战。演化一个开放的系统单一地需要扩张成一个新的有效的系统，以纳入关键的环境自由度。在这种情况下，我们提出并验证了一个新的量子算法来处理非马尔可夫动态OQS建立在Lindblad的轨迹方法的包围，调用Sz。Nagy膨胀定理在这里，我们展示了我们的算法在强耦合和失谐制度的Jaynes-Cummings模型，相关的量子光学和驱动量子系统的研究。该算法是噪声量子设备上非马尔可夫动力学广义建模的关键一步，它捕获了广泛的一类动力学，并开辟了OQS问题的新方向。
With the rapid progress in quantum hardware, there has been an increased interest in new quantum algorithms to describe complex many-body systems searching for the still-elusive goal of 'useful quantum advantage'. Surprisingly, quantum algorithms for the treatment of open quantum systems (OQSs) have remained under-explored, in part due to the inherent challenges of mapping non-unitary evolution into the framework of unitary gates. Evolving an open system unitarily necessitates dilation into a new effective system to incorporate critical environmental degrees of freedom. In this context, we present and validate a new quantum algorithm to treat non-Markovian dynamics in OQSs built on the Ensemble of Lindblad's Trajectories approach, invoking the Sz.-Nagy dilation theorem. Here we demonstrate our algorithm on the Jaynes-Cummings model in the strong coupling and detuned regimes, relevant in quantum optics and driven quantum systems studies. This algorithm, a key step towards generalized modeling of non-Markovian dynamics on a noisy-quantum device, captures a broad class of dynamics and opens up a new direction in OQS problems.