Tomographic reconstruction of multiqubit states by phase lift with the Nesterov algorithm

Xudan Chai, Yi-Ping Lu, An-ning Zhang, and Qing Zhao
Phys. Rev. A 99, 042321 – Published 12 April 2019

Abstract

Quantum state tomography is of crucial importance in assessing the quality of quantum information processing devices. Tomography fundamentally requires both experiments and data processing resources, which increase exponentially with the size of qubits. We propose using phase lift to precisely characterize an unknown quantum state using only a small part of the data. We numerically reconstruct the density matrix of multiqubit pure states including the Greenberger-Horne-Zeilinger (GHZ) state, W-class state, cluster state, and random states. The Nesterov algorithm shows high accuracy and high speed for pure states especially for the specific entangled states with a large number of qubits. It shows the highest accuracy among the several specific algorithms, specially for larger number of qubits.

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  • Received 25 August 2018

DOI:https://doi.org/10.1103/PhysRevA.99.042321

©2019 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Xudan Chai, Yi-Ping Lu, An-ning Zhang, and Qing Zhao*

  • Center for Quantum Technology Research, School of Physics, Beijing Institute of Technology, Haidian District, Beijing 100081, People's Republic of China

  • *qzhaoyuping@bit.edu.cn

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Issue

Vol. 99, Iss. 4 — April 2019

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