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Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Coherence and Asymmetry Cannot be Broadcast.

Matteo Lostaglio1, Markus P Müller2,3

  • 1ICFO-Institut de Ciencies Fotoniques, The Barcelona Institute of Science and Technology, Castelldefels (Barcelona) 08860, Spain.

Physical Review Letters
|August 7, 2019
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Summary
This summary is machine-generated.

Quantum coherence, a valuable resource for quantum technologies, cannot be broadcast indefinitely. This study proves that distributing quantum asymmetry is fundamentally limited by quantum mechanics, even for weaker forms like catalytic coherence.

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Area of Science:

  • Quantum Information Science
  • Quantum Thermodynamics
  • Quantum Metrology

Background:

  • Conservation laws prevent quantum dynamics from generating superpositions of eigenstates.
  • Quantum coherence acts as a resource for asymmetry, useful in quantum metrology and thermodynamics.
  • The possibility of broadcasting quantum coherence to distribute asymmetry was an open question.

Purpose of the Study:

  • To investigate whether quantum coherence (asymmetry) can be broadcast from a reference system to other systems.
  • To determine the fundamental limits on distributing quantum asymmetry.
  • To address open questions regarding quantum clock information sharing and quantum thermodynamics catalysis.

Main Methods:

  • Theoretical analysis using quantum mechanics principles.
  • Development of a no-go theorem for broadcasting coherence in finite-dimensional systems.
  • Investigation of conditions for weaker forms of coherence broadcasting.

Main Results:

  • A no-go theorem demonstrates that broadcasting quantum coherence is forbidden in finite-dimensional systems.
  • The study answers open questions about sharing timing information and catalysis in quantum thermodynamics.
  • Weaker forms of broadcasting, including catalytic coherence, are only possible with infinite-dimensional reference systems.

Conclusions:

  • Quantum mechanics fundamentally limits the indefinite distribution of quantum coherence and asymmetry.
  • This research establishes fundamental limits on manipulating quantum coherence.
  • The findings clarify the role and limitations of quantum reference frames in catalytic processes.