Related Experiment Video
Updated: Sep 13, 2025
07:56
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
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Sum of Entanglement and Subsystem Coherence Is Invariant under Quantum Reference Frame Transformations
Carlo Cepollaro1,2, Ali Akil3, Paweł Cieśliński4
1Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria.
Physical Review Letters
|July 31, 2025
Summary
Quantum reference frames (QRFs) reveal that entanglement and subsystem coherence trade-off, forming a QRF invariant. This invariant clarifies how quantum resources, like entanglement, are responsible for Bell
Area of Science:
- Quantum Information Theory
- Quantum Foundations
- Quantum Gravity
Background:
- Quantum reference frames (QRFs) transform superposition and entanglement.
- Understanding resource changes under QRF transformations is crucial for quantum information processing.
Purpose of the Study:
- To prove the existence of a QRF invariant capturing the trade-off between entanglement and subsystem coherence.
- To analyze the implications of this interplay for Bell's inequality violations.
Main Methods:
- Demonstration of the invariance of the sum of entanglement and subsystem coherence for specific resource quantifiers.
- Identification of a weaker trade-off applicable to any pair of measures.
Main Results:
- A QRF invariant is proven, quantifying the trade-off between entanglement and subsystem coherence.
- A general, weaker trade-off relation is established for any chosen measures.
- The quantum resource responsible for Bell's inequality violations is identified for any QRF.
Conclusions:
- The study establishes a fundamental interplay between entanglement and subsystem coherence within QRFs.
- Findings enhance the understanding of quantum information-theoretic aspects of QRFs.
- Provides a foundation for future research in quantum theory and quantum gravity.
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