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Related Concept Videos

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Related Experiment Video

Updated: Feb 5, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Probabilistic Distillation of Quantum Coherence.

Kun Fang1, Xin Wang1, Ludovico Lami2

  • 1Centre for Quantum Software and Information, Faculty of Engineering and Information Technology, University of Technology Sydney, New South Wales 2007, Australia.

Physical Review Letters
|September 1, 2018
PubMed
Summary
This summary is machine-generated.

This study introduces a framework for probabilistic quantum coherence distillation, revealing fundamental limits and conditions for success. It shows that distilling coherence from full-rank states is impossible, even probabilistically.

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Area of Science:

  • Quantum Information Science
  • Quantum Optics
  • Quantum Computing

Background:

  • Quantum coherence is essential for quantum technologies but challenging to distill deterministically.
  • Existing methods for distilling quantum coherence face limitations in certainty and efficiency.

Purpose of the Study:

  • To develop a general framework for probabilistic distillation of quantum coherence in a one-shot setting.
  • To establish fundamental limitations for different classes of free operations in coherence distillation.
  • To explore the role of catalysts in enhancing probabilistic coherence distillation.

Main Methods:

  • Development of a general framework for probabilistic coherence distillation.
  • Geometric interpretation for maximal success probability.
  • Utilizing semidefinite programming for maximally incoherent operations (MIO) and dephasing-covariant incoherent operations (DIO).

Main Results:

  • DIO and strictly incoherent operations have equal power for pure states; MIO are strictly stronger.
  • Demonstrated a no-go result: probabilistic coherence distillation from full-rank states is impossible.
  • Identified conditions where maximal success probability vanishes suddenly beyond a fidelity threshold.
  • Showcased the superiority of catalyst-assisted probabilistic coherence distillation over unassisted and deterministic methods.

Conclusions:

  • Probabilistic coherence distillation offers a viable approach to optimizing quantum technologies.
  • Fundamental limitations exist, particularly for full-rank states, guiding future research.
  • Catalyst-assisted distillation presents a promising avenue for enhanced performance.