Work

Quantum state tomography with locally purified density operators and local measurements

Year: 2024

Type: article

Abstract: Understanding quantum systems holds significant importance for assessing the performance of quantum hardware and software, as well as exploring quantum control and quantum sensing. An efficient representation of quantum states enables realizing quantum state tomography with minimal measurements. In this study, we propose a new approach to state tomography that uses tensor network representations of mixed states through locally purified density operators and employs a classical optimization algorithm requiring only local measurements. Through numerical simulations of one-dimensional pure and mixed states and two-dimensional random tensor network states up to size $8\times 8$, we demonstrate the efficiency, accuracy, and robustness of our proposed methods. Experiments on the IBM Quantum platform complement these numerical simulations. Our study opens new avenues in quantum state tomography for two-dimensional systems using tensor network formalism.

Source: Communications Physics

DOI: 10.1038/s42005-024-01813-4

Authors: Yuchen Guo, Shuo Yang

Institutions: State Key Laboratory of Low-Dimensional Quantum Physics, Tsinghua University, Frontier Science Center for Quantum Information of the Ministry of Education of China

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,790

Funders: National Natural Science Foundation of China, Tsinghua University