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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Entanglement in interference-based quantum control: the wave function is not enough.

Moshe Shapiro1, Paul Brumer

  • 1Department of Chemistry, The University of British Columbia, Vancouver, Canada. mshapiro@chem.ubc.ca

Faraday Discussions
|March 29, 2012
PubMed
Summary
This summary is machine-generated.

Entanglement can cause quantum interference to vanish, hindering quantum control. This research explores how tracing over states and factorizable transition amplitudes limit controllability in quantum systems.

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Last Updated: May 23, 2026

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Area of Science:

  • Quantum Information Science
  • Quantum Control Theory
  • Chemical Physics

Background:

  • Quantum interference is fundamental to quantum control strategies.
  • Entanglement's role in quantum control dynamics requires detailed investigation.
  • Understanding limitations in controlling quantum states is crucial for applications.

Purpose of the Study:

  • To analyze the impact of entanglement on interference-based quantum control.
  • To identify scenarios where quantum interference diminishes during probability extraction.
  • To investigate the reduction of controllability due to state tracing and amplitude factorization.

Main Methods:

  • Analysis of quantum interference in probability extraction from wave functions.
  • Examination of tracing over radiation field number states.
  • Study of controllability reduction when tracing over state manifolds.
  • Investigation of transition amplitudes in degenerate state control.

Main Results:

  • Quantum interference vanishes in specific cases during probability extraction.
  • Tracing over radiation field number states leads to loss of quantum interference.
  • Controllability is reduced when tracing over entire manifolds of states.
  • Controlling relative populations of degenerate states is impossible for factorizable transition amplitudes.

Conclusions:

  • Entanglement significantly affects quantum interference in control processes.
  • Tracing over states and factorizable amplitudes impose fundamental limits on quantum controllability.
  • Distinctions between entanglement and non-factorizability are critical for quantum control design.