论文标题
用自旋挤压原子合奏的量子至上
Quantum supremacy with spin squeezed atomic ensembles
论文作者
论文摘要
我们提出了一种仅使用旋转挤压，基础旋转和FOCK状态测量的Qubits组合来实现量子至上的方法。每个合奏仅具有总自旋才能控制。使用随机旋转的重复序列，然后挤压，我们表明最终测量值的概率分布迅速接近搬运工 - 托马斯分布。我们表明，采样概率可能与＃p-hard问题有关，复杂性比例为$（n+1）^m $，其中$ n $是合奏中的Qubits数量，而$ m $是合奏的数量。该方案可以通过冷或冷原子合奏实施。由于典型的原子集合中的原子数量大量，因此允许访问具有适度数量的合奏或门深度的量子至高无上的制度。
We propose a method to achieve quantum supremacy using ensembles of qubits, using only spin squeezing, basis rotations, and Fock state measurements. Each ensemble is assumed to be controllable only with its total spin. Using a repeated sequence of random basis rotations followed by squeezing, we show that the probability distribution of the final measurements quickly approaches a Porter-Thomas distribution. We show that the sampling probability can be related to a #P-hard problem with a complexity scaling as $(N+1)^M$, where $N$ is the number of qubits in an ensemble and $ M $ is the number of ensembles. The scheme can be implemented with hot or cold atomic ensembles. Due to the large number of atoms in typical atomic ensembles, this allows access to the quantum supremacy regime with a modest number of ensembles or gate depth.
