论文标题
基于测量的确定性假想时间演变
Measurement-based deterministic imaginary time evolution
论文作者
论文摘要
我们介绍了一种使用测量和条件统一操作在可控量子系统中执行假想时间演变的方法。通过基于由铃木 - 漫游者分解构成的所需的哈密顿式的弱测量序列，可以实现近似想象时间演化的演化。使用条件统一操作校正了由于测量而产生的随机性，从而使进化确定性。算法和条件统一操作所需的测量都可以有效地构建。我们表明，该算法仅收敛于指定的能量阈值以下，并且对于某些特定的问题实例估算了复杂性。
We introduce a method to perform imaginary time evolution in a controllable quantum system using measurements and conditional unitary operations. By performing a sequence of weak measurements based on the desired Hamiltonian constructed by a Suzuki-Trotter decomposition, an evolution approximating imaginary time evolution can be realized. The randomness due to measurement is corrected using conditional unitary operations, making the evolution deterministic. Both the measurements required for the algorithm and the conditional unitary operations can be constructed efficiently. We show that the algorithm converges only below a specified energy threshold and the complexity is estimated for some specific problem instances.
