论文标题
通过量子状态制备算法模拟积极的操作员值措施和量子仪器
Simulation of positive operator-valued measures and quantum instruments via quantum state preparation algorithms
论文作者
论文摘要
在参考[物理。 Rev. A 100，062317（2019）]，作者报告了一种在基于电路的量子计算机中实现的算法，该算法是两级量子系统的一般量子测量（GQM），一个Qubit。即使它们的算法似乎是正确的，它的应用涉及解决复杂的非线性方程系统的解决方案，以获取确定要实现仿真的量子电路的角度。在本文中，我们通过量子状态准备算法确定并讨论了一种规避此问题并在任何$ d $级别量子系统上实施GQM的简单方法。使用一些示例，一个量子，一个Qutrit和两个量子位，我们说明了协议的易于应用。此外，我们展示了如何利用我们的协议来模拟量子仪器，为此我们也举例说明了一个示例。使用IBM的量子处理器证明了我们所有的示例。
In Ref. [Phys. Rev. A 100, 062317 (2019)], the authors reported an algorithm to implement, in a circuit-based quantum computer, a general quantum measurement (GQM) of a two-level quantum system, a qubit. Even though their algorithm seems right, its application involves the solution of an intricate non-linear system of equations in order to obtain the angles determining the quantum circuit to be implemented for the simulation. In this article, we identify and discuss a simple way to circumvent this issue and implement GQMs on any $d$-level quantum system through quantum state preparation algorithms. Using some examples for one qubit, one qutrit and two qubits, we illustrate the easy of application of our protocol. Besides, we show how one can utilize our protocol for simulating quantum instruments, for which we also give an example. All our examples are demonstrated using IBM's quantum processors.
