Open Access

Irving Leander Reascos Valencia

• Quantum simulation represents a formidable challenge for classical computers due to the intricate behavior of quantum systems. Digital quantum computers aim for precise approximations of a wide range of quantum systems. Within the realm of quantum simulation, the study of spin systems plays a pivotal role, providing insights into complex properties challenging to model through classical means. This work focuses on investigating chiral spin systems through the development of a dedicated quantum circuit for chirality measurement. In this Masters Dissertation, we present an overview of the current state-of-the-art in quantum simulation of chiral spin systems and introduce our approach to addressing this challenge. Scalar spin chirality, a three-body physical observable, holds a critical position both in classical magnetism, where it characterizes non-coplanar spin textures, and in quantum magnetism, serving as an order parameter for chiral spin liquids. In the context of quantumQuantum simulation represents a formidable challenge for classical computers due to the intricate behavior of quantum systems. Digital quantum computers aim for precise approximations of a wide range of quantum systems. Within the realm of quantum simulation, the study of spin systems plays a pivotal role, providing insights into complex properties challenging to model through classical means. This work focuses on investigating chiral spin systems through the development of a dedicated quantum circuit for chirality measurement. In this Masters Dissertation, we present an overview of the current state-of-the-art in quantum simulation of chiral spin systems and introduce our approach to addressing this challenge. Scalar spin chirality, a three-body physical observable, holds a critical position both in classical magnetism, where it characterizes non-coplanar spin textures, and in quantum magnetism, serving as an order parameter for chiral spin liquids. In the context of quantum information, scalar spin chirality serves as a witness to genuine tripartite entanglement. In this study, we delve into various methodologies to tackle the problem at hand, subjecting them to comparison. The objective is to identify the most suitable approach that demands fewer quantum resources. Our best proposed method introduces an indirect measurement scheme based on the Hadamard test, designed to estimate the scalar spin chirality for general quantum states. We apply this innovative approach to measure chirality in two specific types of quantum states: the generic one-magnon states of a ferromagnet and the ground state of a model characterized by competing symmetric and antisymmetric exchange interactions. Our research findings highlight the practicality of achieving a single-shot determination of scalar chirality for chirality eigenstates, leveraging the power of quantum phase estimation with a single auxiliary qutrit. This novel methodology extends beyond providing a solution to the chirality measurement problem; it also unifies the theory of chirality in both classical and quantum magnetism. The implications of our work offer valuable insights and pave the way for future quantum research endeavors in this domain.…