Residual and Destroyed Accessible Information after Measurements

Rui Han, Gerd Leuchs, and Markus Grassl
Phys. Rev. Lett. 120, 160501 – Published 17 April 2018

Abstract

When quantum states are used to send classical information, the receiver performs a measurement on the signal states. The amount of information extracted is often not optimal due to the receiver’s measurement scheme and experimental apparatus. For quantum nondemolition measurements, there is potentially some residual information in the postmeasurement state, while part of the information has been extracted and the rest is destroyed. Here, we propose a framework to characterize a quantum measurement by how much information it extracts and destroys, and how much information it leaves in the residual postmeasurement state. The concept is illustrated for several receivers discriminating coherent states.

  • Figure
  • Received 22 November 2017

DOI:https://doi.org/10.1103/PhysRevLett.120.160501

© 2018 American Physical Society

Physics Subject Headings (PhySH)

General PhysicsAtomic, Molecular & OpticalQuantum Information, Science & Technology

Authors & Affiliations

Rui Han1,2,*, Gerd Leuchs1,2,3, and Markus Grassl1

  • 1Max Planck Institute for the Science of Light, 91058 Erlangen, Germany
  • 2Institut für Optik, Information und Photonik, Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
  • 3University of Ottawa, Ottawa, Ontario K1N 6N5, Canada

  • *Present address: Centre for Quantum Technologies, National University of Singapore, 117543 Singapore. han.rui@quantumlah.org

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Vol. 120, Iss. 16 — 20 April 2018

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