Universally Optimal Verification of Entangled States with Nondemolition Measurements

Ye-Chao Liu, Jiangwei Shang, Rui Han, and Xiangdong Zhang
Phys. Rev. Lett. 126, 090504 – Published 4 March 2021
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Abstract

The efficient and reliable characterization of quantum states plays a vital role in most, if not all, quantum information processing tasks. In this work, we present a universally optimal protocol for verifying entangled states by employing the so-called quantum nondemolition measurements, such that the verification efficiency is equivalent to that of the optimal global strategy. Instead of being probabilistic as the standard verification strategies, our protocol is constructed sequentially, which is thus more favorable for experimental realizations. In addition, the target states are preserved in the protocol after each measurement, so can be reused in any subsequent tasks. We demonstrate the power of our protocol for the optimal verification of Bell states, arbitrary two-qubit pure states, and stabilizer states. We also prove that our protocol is able to perform tasks including fidelity estimation and state preparation.

  • Figure
  • Received 12 May 2020
  • Accepted 26 January 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.090504

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & Technology

Authors & Affiliations

Ye-Chao Liu1, Jiangwei Shang1,*, Rui Han2, and Xiangdong Zhang1,†

  • 1Key Laboratory of Advanced Optoelectronic Quantum Architecture and Measurement of Ministry of Education, School of Physics, Beijing Institute of Technology, Beijing 100081, China
  • 2Centre for Quantum Technologies, National University of Singapore, Singapore 117543, Singapore

  • *jiangwei.shang@bit.edu.cn
  • zhangxd@bit.edu.cn

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Issue

Vol. 126, Iss. 9 — 5 March 2021

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