论文标题
通过选择后促进DQC1模型中的量子相关性
Promoting quantum correlations in DQC1 model via post-selection
论文作者
论文摘要
使用一个量子量(DQC1)模型的确定性量子计算是一个限制的量子计算模型,能够有效地计算单位矩阵的归一化轨迹。在这项工作中,我们分析了仅考虑两个量子位(辅助和控制)的DQC1电路产生的符号纠缠,贝尔的非局部性,量子和连贯性的量子相关性。对于标准DQC1模型,仅出现量子不一致和相干性。通过在电路中引入过滤器,我们净化了从完全混合状态中取出的辅助量子,因此促进了Qubits之间的其他量子相关性,例如纠缠和贝尔的非局部性。通过优化纯化过程,我们得出的结论是,即使是较小的纯化也足以产生纠缠和贝尔的非局部性。平均而言,我们平均可以重复应用纯化过程十二倍辅助量子量的纯净99%。在这种情况下,实现了几乎最大的纠缠状态,从而几乎最大程度地违反了钟声的不平等。该结果表明,通过简单的修改,DQC1模型可以晋升为量子计算的通用模型。
The deterministic quantum computation with one qubit (DQC1) model is a restricted model of quantum computing able to calculate efficiently the normalized trace of a unitary matrix. In this work we analyse the quantum correlations named entanglement, Bell's nonlocality, quantum discord, and coherence generated by the DQC1 circuit considering only two qubits (auxiliary and control). For the standard DQC1 model only quantum discord and coherence appear. By introducing a filter in the circuit we purify the auxiliary qubit taking it out from the totally mixed state and consequently promoting other quantum correlations between the qubits, such as entanglement and Bell's nonlocality. Through the optimization of the purification process we conclude that even a small purification is enough to generate entanglement and Bell's nonlocality. We obtain, in average, that applying the purification process repeatedly by twelve times the auxiliary qubit becomes 99% pure. In this situation, almost maximally entangled states are achieved, which by its turn, almost maximally violate the Bell's inequality. This result suggests that with a simple modification the DQC1 model can be promoted to a universal model of quantum computing.