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Demonstration of Complete Information Trade-Off in Quantum Measurement

Seongjin Hong, Yong-Su Kim, Young-Wook Cho, Jaewan Kim, Seung-Woo Lee, and Hyang-Tag Lim
Phys. Rev. Lett. 128, 050401 – Published 3 February 2022
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Abstract

While an information-disturbance trade-off in quantum measurement has been at the core of foundational quantum physics and constitutes a basis of secure quantum information processing, recently verified reversibility of a quantum measurement requires to refine it toward a complete version of information trade-off in quantum measurement. Here we experimentally demonstrate a trade-off relation among all information contents, i.e., information gain, disturbance, and reversibility in quantum measurement. By exploring quantum measurements applied on a photonic qutrit, we observe that the information of a quantum state is split into three distinct parts accounting for the extracted, disturbed, and reversible information. We verify that such different parts of information are in trade-off relations not only pairwise but also triplewise all at once, and find that the triplewise relation is tighter than any of the pairwise relations. Finally, we realize optimal quantum measurements that inherently preserve quantum information without loss of information, which offer wider applications in measurement-based quantum information processing.

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  • Received 20 August 2021
  • Accepted 3 January 2022

DOI:https://doi.org/10.1103/PhysRevLett.128.050401

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

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Quantum Measurement Strikes a Balance

Published 3 February 2022

An experiment demonstrates that, in a quantum measurement, there is a three-way trade-off between different types of information content.

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Authors & Affiliations

Seongjin Hong1, Yong-Su Kim1,2, Young-Wook Cho1,3, Jaewan Kim4, Seung-Woo Lee1,*, and Hyang-Tag Lim1,2,†

  • 1Center for Quantum Information, Korea Institute of Science and Technology (KIST), Seoul 02792, Korea
  • 2Division of Nano and Information Technology, KIST School, Korea University of Science and Technology, Seoul 02792, Korea
  • 3Department of Physics, Yonsei University, Seoul 03722, Korea
  • 4School of Computational Sciences, Korea Institute for Advanced Study, Seoul 02455, Korea

  • *swleego@gmail.com
  • hyangtag.lim@kist.re.kr

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Issue

Vol. 128, Iss. 5 — 4 February 2022

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