论文标题
Pegg-Barnett和Paul Quantum阶段框架之间的正式关系
Formal relation between Pegg-Barnett and Paul quantum phase frameworks
论文作者
论文摘要
定义Hermitian量子相运算符的问题几乎与量子力学本身一样古老。多年来，提出了许多解决方案，从抽象的操作员形式主义到相位空间方法。在这项工作中，我们通过证明保罗形式主义中相位的概率分布完全来自Pegg-Barnett形式主义，通过将后者与后者与量子限制放大器通道相结合，从而在两种最突出的方法之间建立了明确的联系。我们的发现表明，Paul框架可能被视为Pegg-Barnett方法的半古典限制。
The problem of defining a hermitian quantum phase operator is nearly as old as quantum mechanics itself. Throughout the years, a number of solutions was proposed, ranging from abstract operator formalisms to phase-space methods. In this work, we make an explicit connection between two of the most prominent approaches, by proving that the probability distribution of phase in the Paul formalism follows exactly from the Pegg-Barnett formalism by combining the latter with the quantum limited amplifier channel. Our findings suggest that the Paul framework may be viewed as a semi-classical limit of the Pegg-Barnett approach.
