Single Qubit State Estimation on NISQ Devices with Limited Resources and SIC-POVMs

作     者：Galvis-Florez, Cristian A. Reitzner, Daniel Särkkä, Simo 

作者机构：Department of Electrical Engineering and Automation Aalto University Espoo Finland Quantum Algorithms and Software VTT Technical Research Centre of Finland Espoo Finland 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2023年

核心收录：

主　　题：Qubits 

摘      要：Current quantum computers have the potential to overcome classical computational methods, however, the capability of the algorithms that can be executed on noisy intermediate-scale quantum devices is limited due to hardware imperfections. Estimating the state of a qubit is often needed in different quantum protocols, due to the lack of direct measurements. In this paper, we consider the problem of estimating the quantum state of a qubit in a quantum processing unit without conducting direct measurements of it. We consider a parameterized measurement model to estimate the quantum state, represented as a quantum circuit, which is optimized using the quantum tomographic transfer function. We implement and test the circuit using the quantum computer of the Technical Research Centre of Finland as well as an IBM quantum computer. We demonstrate that the set of positive operator-valued measurements used for the estimation is symmetric and informationally complete. Moreover, the resources needed for qubit estimation are reduced when direct measurements are allowed, keeping the symmetric property of the measurements. © 2023, CC BY.