Hermitian-preserving ansatz and variational open quantum eigensolver

Autor:	Shang, Zhong-Xia
Rok vydání:	2024
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We propose a new variational quantum algorithm named Variational Open Quantum Eigensolver (VOQE) for solving steady states of open quantum systems described by either Lindblad master equations or non-Hermitian Hamiltonians. In VOQE, density matrices of mixed states are represented by pure states in doubled Hilbert space. We give a framework for building circuit ansatz which we call the Hermitian-preserving ansatz (HPA) to restrict the searching space. We also give a method to efficiently measure the operators' expectation values by post-selection measurements. We show the workflow of VOQE on solving steady states of the LMEs of the driven XXZ model and implement VOQE to solve the spectrum of the non-Hermitian Hamiltonians of the Ising spin chain in an imaginary field. Comment: 9 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2403.03478 Zobrazit plný text záznamu View this record from Arxiv