论文标题

通过合并的$ \ mathcal {cpt} $和Hermitian测量来区分任意数量的纯量子状态

Discriminating an Arbitrary Number of Pure Quantum States by the Combined $\mathcal{CPT}$ and Hermitian Measurements

论文作者

Balytskyi, Yaroslav, Chang, Sang-Yoon, Pinchuk, Anatoliy, Raavi, Manohar

论文摘要

如果已知该系统位于两个非正交量子状态之一中,则$ |ψ_1\ rangle $或$ |ψ_2\ rangle $,$ \ MATHCAL {pt} $ - 对称量子机制可以歧视它们,\ textit {In t textit {In sonse sonsemurement,the sings sonse vextit}。我们通过组合$ \ Mathcal {pt} $ - 对称和遗传学测量来扩展这种方法,并表明可以通过适当选择$ \ Mathcal {pt} $ - 对称的Hamiltonian来区分任意数量的纯量子状态。

If the system is known to be in one of two non-orthogonal quantum states, $|ψ_1\rangle$ or $|ψ_2\rangle$, $\mathcal{PT}$-symmetric quantum mechanics can discriminate them, \textit{in principle}, by a single measurement. We extend this approach by combining $\mathcal{PT}$-symmetric and Hermitian measurements and show that it's possible to distinguish an arbitrary number of pure quantum states by an appropriate choice of the parameters of $\mathcal{PT}$-symmetric Hamiltonian.

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