论文标题

减少VQE和相关算法中的单量旋转量

Reducing the amount of single-qubit rotations in VQE and related algorithms

论文作者

Rasmussen, S. E., Loft, N. J. S., Bækkegaard, T., Kues, M., Zinner, N. T.

论文摘要

随着混合量子经典算法的出现,使用参数化的量子电路出现了如何优化这些算法和电路的问题。在本文中,我们表明,可以减少参数化量子电路中的单量旋转数量,而不会损害电路的相对表现性或纠缠能力。我们还表明,差异量子本层的性能不受单量旋转的类似下降的影响。我们比较了参数化量子电路中不同数量的Qubit的相对表现和纠缠能力。在文献中,高维量子作为混合量子经典算法的平台是罕见的。因此,我们将量子频率梳光子学视为这种算法的平台,并表明我们可以获得相对的表现性和纠缠能力,可与最佳的常规参数化量子电路相当。

With the advent of hybrid quantum classical algorithms using parameterized quantum circuits the question of how to optimize these algorithms and circuits emerges. In this paper we show that the number of single-qubit rotations in parameterized quantum circuits can be decreased without compromising the relative expressibility or entangling capability of the circuit. We also show that the performance of a variational quantum eigensolver is unaffected by a similar decrease in single-qubit rotations. We compare relative expressibility and entangling capability across different number of qubits in parameterized quantum circuits. High-dimensional qudits as a platform for hybrid quantum classical algorithms is a rarity in the literature. Therefore we consider quantum frequency comb photonics as a platform for such algorithms and show that we can obtain an relative expressibility and entangling capability comparable to the best regular parameterized quantum circuits.

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