光量子信息高效经典模拟的半群技术
Semigroup techniques for the efficient classical simulation of optical quantum information
摘要：
给出了描述量子光学实验中广泛的一类物理操作（包括么正变换、耗散、噪声和测量）的框架。这个框架提供了一个强大的工具，用于评估使用当前的实验技术执行量子信息处理任务的能力和局限性。Gottesman-Knill定理被推广到群稳定器形式主义的无限维表示，并进一步推广到包括不可逆的半群变换，在这个框架内提供了一个有效的经典模拟操作的定理。因此，我们放置强大的限制，获得计算加速使用当前的技术在量子光学。
英文摘要：
A framework to describe a broad class of physical operations (including unitary transformations, dissipation, noise, and measurement) in a quantum optics experiment is given. This framework provides a powerful tool for assessing the capabilities and limitations of performing quantum information processing tasks using current experimental techniques. The Gottesman-Knill theorem is generalized to the infinite-dimensional representations of the group stabilizer formalism and further generalized to include non-invertable semigroup transformations, providing a theorem for the efficient classical simulation of operations within this framework. As a result, we place powerful constraints on obtaining computational speedups using current techniques in quantum optics.
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