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arXiv 2302.07534quant-ph
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量子测量上任意函数的可靠优化

Reliable optimization of arbitrary functions over quantum measurements

Jing Luo, Jiangwei Shang

摘要:

量子测量作为连接经典世界和量子世界的纽带,在量子信息处理时代发挥着独特的作用。给定一个任意的量子测量函数,如何求其最优值是各种应用中的一个基本而又重要的问题。典型的例子包括但不限于优化量子测量层析成像中的似然函数,在贝尔测试实验中搜索贝尔参数,以及计算量子信道的容量。在这项工作中,我们提出了可靠的算法优化任意函数的空间上的量子测量相结合的所谓的吉尔伯特算法凸优化与一定的梯度算法。随着广泛的应用,我们证明了我们的算法与凸函数和非凸函数的有效性。

英文摘要:

As the connection between classical and quantum worlds, quantum measurements play a unique role in the era of quantum information processing. Given an arbitrary function of quantum measurements, how to obtain its optimal value is often considered as a basic yet important problem in various applications. Typical examples include but not limited to optimizing the likelihood functions in quantum measurement tomography, searching the Bell parameters in Bell-test experiments, and calculating the capacities of quantum channels. In this work, we propose reliable algorithms for optimizing arbitrary functions over the space of quantum measurements by combining the so-called Gilbert's algorithm for convex optimization with certain gradient algorithms. With extensive applications, we demonstrate the efficacy of our algorithms with both convex and nonconvex functions.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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