论文标题

通过量子非安装测量值的假想时间演变:通过测量非线性进行多数相互作用

Imaginary time evolution with quantum nondemolition measurements: multi-qubit interactions via measurement nonlinearities

论文作者

Kondappan, Manikandan, Chaudhary, Manish, Ilo-Okeke, Ebubechukwu O., Ivannikov, Valentin, Byrnes, Tim

论文摘要

我们表明,可以使用量子非约束(QND)测量值来实现基于测量的假想时间演变。在我们提出的计划中,重复的QND测量值用于估计给定的哈密顿量的能量。基于这种估计的能量,应用自适应统一操作,使得只有靶向能量特征状态是进化的固定点。这样,该系统是确定性驱动到所需状态的。 QND测量的非线性性质允许在系统之间产生相互作用,它是根据测量运算符明确得出的。我们表明,对于合适的互动时间,可以将单量子QND汉密尔顿人转换为有效的多Quition Imaginary时间操作。我们以准备四个Qubit群集状态的示例来说明我们的技术,该量子簇状态仅使用集体单量子QND测量和单量子量表自适应操作制备。

We show that quantum nondemolition (QND) measurements can be used to realize measurement-based imaginary time evolution. In our proposed scheme, repeated weak QND measurements are used to estimate the energy of a given Hamiltonian. Based on this estimated energy, adaptive unitary operations are applied such that only the targeted energy eigenstates are fixed points of the evolution. In this way, the system is deterministically driven towards the desired state. The nonlinear nature of the QND measurement, which allows for producing interactions between systems, is explicitly derived in terms of measurement operators. We show that for suitable interaction times, single qubit QND Hamiltonians can be converted to effective multi-qubit imaginary time operations. We illustrate our techniques with the example of preparing a four qubit cluster state, which is prepared using only collective single qubit QND measurements and single qubit adaptive operations.

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