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Ultimate Limits for Quickest Quantum Change-Point Detection.

Marco Fanizza1, Christoph Hirche2, John Calsamiglia1

  • 1Física Teòrica: Informació i Fenòmens Quàntics, Departament de Física, Universitat Autònoma de Barcelona, ES-08193 Bellaterra (Barcelona), Spain.

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This summary is machine-generated.

We introduce quantum quickest change-point detection for quantum data streams. Our findings establish the ultimate quantum limit for minimizing detection delay while bounding false alarms.

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Area of Science:

  • Quantum Information Science
  • Sequential Analysis
  • Statistical Signal Processing

Background:

  • Abrupt changes in data streams signal critical events requiring timely detection.
  • Quickest change-point detection minimizes detection delay under bounded false alarm rates.
  • Sequential analysis is fundamental for real-time data processing.

Purpose of the Study:

  • To develop the quantum counterpart of quickest change-point detection for quantum data streams.
  • To establish fundamental limits for detecting changes in quantum information.
  • To explore strategies for online change-point detection in quantum channels.

Main Methods:

  • Deriving a lower bound on the mean minimum detection delay for general quantum strategies.
  • Analyzing adaptive collective measurements on growing quantum data strings.
  • Developing block-based measurement strategies to approach the quantum limit.

Main Results:

  • A lower bound on the mean minimum delay for quantum quickest change-point detection is established.
  • Strategies achieving this lower bound are demonstrated, defining the ultimate quantum limit.
  • The performance of online change-point detection in quantum channels is discussed.

Conclusions:

  • The study establishes the theoretical limits for quantum quickest change-point detection.
  • Practical strategies are proposed that asymptotically reach these quantum limits.
  • This work lays the foundation for change detection in quantum information processing and communication.