两个三量子比特的不可数多个不等价最大纠缠测量
Uncountably many inequivalent maximally entangled measurements for two qutrits
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中文总结 AI 辅助
研究两个三量子比特最大纠缠测量，给出单参数族测量基，证明其在局域酉操作下不等价，由三维对称信息完备态集构建，还构造了野生误差基首个例子，并讨论了不同测量在量子信息场景下的性能差异。
中文摘要 AI 辅助
由最大纠缠本征态组成的每一个两量子比特测量基都可以通过局域酉操作变换为贝尔基。相比之下，对于更高维度，存在由最大纠缠本征态组成的不等价基。在此，我们给出了一个两三量子比特最大纠缠测量基的单参数族，并证明这些基在局域酉操作下彼此不等价。这些基由三维中连续的对称信息完备态集构建。通过研究生成两三量子比特最大纠缠测量基族的局域酉基，我们在可能存在的最小维度中构造了野生误差基的首个例子。最后，我们讨论了该族中不同测量如何在量子信息相关的几种情形下导致性能差异。
英文摘要
Every two-qubit measurement basis composed of maximally entangled eigenstates can be transformed into the Bell basis via local unitary operations. For higher dimensions, in contrast, there exist inequivalent bases composed of maximally entangled eigenstates. Here, we provide a single-parameter family of two-qutrit maximally entangled measurement bases, and demonstrate that none of the bases are equivalent to each other under local unitaries. These bases are constructed from the continuous family of symmetric informationally complete sets of states in dimension three. By studying the local unitary bases that generate the family of two-qutrit maximally entangled measurement bases, we construct the first examples of wild error bases in the smallest dimension where these can exist. Finally, we discuss how distinct measurements in the family lead to differences in performance in several scenarios relevant in quantum information.
