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Adiabatic Quantum Computation With Spin Ensembles

机译:用旋转合奏的绝热量子计算

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In the standard approach to adiabatic quantum computing (AQC), quantum information stored on qubits are adiabatically evolved to find the lowest energy state of a problem Hamiltonian. Here we investigate a variation of AQC where spin ensembles are used in place of qubits. The use of ensembles duplicates the quantum information, and allows errors to be suppressed during the adiabatic evolution. We show that there are two distinct types of problem Hamiltonians under this mapping, where the first excited state is a single particle perturbation on the ground state (Type I); or a macroscopically distinct fully polarized state (Type II). For Type I problems, we find that the minimum gap for large ensembles is well predicted by mean-field theory and the AQC performance improves with ensemble size, realizing error-suppression. For Type II problems, the performance of the AQC is mixed, and the gap can increase or decrease with ensemble size depending on the problem instance. The incidences of the Type II problems are greatly suppressed with ensemble size, and consequently for randomly chosen problem instances the success probability of the scheme improves with the ensemble size. Our approach shows that it is possible to perform AQC without the necessity of controlling individual qubits, which allows for an alternative route towards implementing AQC.
机译:在对绝热量子计算(AQC)的标准方法中,存储在Qubits上的量子信息被绝热地发展以找到问题Hamiltonian的最低能量状态。在这里,我们调查AQC的变化,其中用于代替Qubits的旋转集合。合奏的使用重复了量子信息,并允许在绝热进化期间抑制错误。我们表明,在该映射下有两个不同类型的汉密尔顿人员,其中第一个激发态是地面状态(I型)上的单个粒子扰动;或宏观上不同的完全偏振状态(II型)。对于I型问题,我们发现大型集合的最小差距很好地预测了平均场理论,并且AQC性能随着集合尺寸而改善,实现错误抑制。对于II型问题,混合AQC的性能,并且差距可以根据问题实例增加和随着整体大小而增加或减少。 II型问题的发生率大大抑制了集成尺寸,因此对于随机选择的问题实例,该方案的成功概率随它的尺寸而改善。我们的方法表明,可以在没有控制各个QUBITS的情况下执行AQC,这允许实现AQC的替代路线。

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