A short tutorial on Wirtinger Calculus with applications in quantum information

Autor:	Koor, Kelvin, Qiu, Yixian, Kwek, Leong Chuan, Rebentrost, Patrick
Rok vydání:	2023
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	The optimization of system parameters is a ubiquitous problem in science and engineering. The traditional approach involves setting to zero the partial derivatives of the objective function with respect to each parameter, in order to extract the optimal solution. However, the system parameters often take the form of complex matrices. In such situations, conventional methods become unwieldy. The `Wirtinger Calculus' provides a relatively simple methodology for such optimization problems. In this tutorial, we provide a pedagogical introduction to Wirtinger Calculus. To illustrate the utility of this framework in quantum information theory, we also discuss a few example applications. Comment: Comments are most welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.04858 Zobrazit plný text záznamu View this record from Arxiv